From f7fe023eb814fe93a39e6913285e7f4320341aa1 Mon Sep 17 00:00:00 2001 From: Dmitry Date: Sat, 30 May 2026 18:43:21 +0300 Subject: [PATCH] vault backup: 2026-05-30 18:43:21 --- .obsidian/workspace.json | 53 +++-- 00 Inbox/10-html_основы_НП.pdf | Bin 0 -> 539851 bytes 00 Inbox/11-css-основы_селекторы.pdf | Bin 0 -> 260173 bytes 00 Inbox/12-css-базовые_свойства.pdf | Bin 0 -> 258314 bytes 00 Inbox/12-css-блочная_модель.pdf | Bin 0 -> 230070 bytes 00 Inbox/12-css-фон.pdf | Bin 0 -> 125011 bytes 00 Inbox/13-html-таблицы.pdf | Bin 0 -> 173230 bytes 00 Inbox/14-css-adaptive.pdf | Bin 0 -> 220613 bytes 00 Inbox/15-html-формы-1.pdf | Bin 0 -> 418522 bytes 00 Inbox/17-css-grid.pdf | Bin 0 -> 391098 bytes 00 Inbox/18-css-flex.pdf | Bin 0 -> 709515 bytes 00 Inbox/21-bootstrap-1.pdf | Bin 0 -> 374882 bytes 00 Inbox/50-python-lec.pdf | Bin 0 -> 359738 bytes 00 Inbox/lec1-django_start_models-1.pdf | Bin 0 -> 471725 bytes ...lec2-django_lec_urls_views_templates-1.pdf | Bin 0 -> 348280 bytes 00 Inbox/lec3-django_cbv-1.pdf | Bin 0 -> 225028 bytes 00 Inbox/lec4-django_lec_queries.pdf | Bin 0 -> 576113 bytes 00 Inbox/lec5-django_cud_form.pdf | Bin 0 -> 521480 bytes 00 Inbox/oop.pdf | Bin 0 -> 378711 bytes 00 Inbox/p1-django-1.pdf | Bin 0 -> 342791 bytes 00 Inbox/p2-django-2.pdf | Bin 0 -> 174395 bytes 00 Inbox/p3-django-1.pdf | Bin 0 -> 117951 bytes 00 Inbox/p4-django_cbv-1.pdf | Bin 0 -> 141145 bytes ...теория с важными формулами по нечетким выводам.md | 193 ------------------ AGENTS.md | 3 +- 25 files changed, 36 insertions(+), 213 deletions(-) create mode 100644 00 Inbox/10-html_основы_НП.pdf create mode 100644 00 Inbox/11-css-основы_селекторы.pdf create mode 100644 00 Inbox/12-css-базовые_свойства.pdf create mode 100644 00 Inbox/12-css-блочная_модель.pdf create mode 100644 00 Inbox/12-css-фон.pdf create mode 100644 00 Inbox/13-html-таблицы.pdf create mode 100644 00 Inbox/14-css-adaptive.pdf create mode 100644 00 Inbox/15-html-формы-1.pdf create mode 100644 00 Inbox/17-css-grid.pdf create mode 100644 00 Inbox/18-css-flex.pdf create mode 100644 00 Inbox/21-bootstrap-1.pdf create mode 100644 00 Inbox/50-python-lec.pdf create mode 100644 00 Inbox/lec1-django_start_models-1.pdf create mode 100644 00 Inbox/lec2-django_lec_urls_views_templates-1.pdf create mode 100644 00 Inbox/lec3-django_cbv-1.pdf create mode 100644 00 Inbox/lec4-django_lec_queries.pdf create mode 100644 00 Inbox/lec5-django_cud_form.pdf create mode 100644 00 Inbox/oop.pdf create mode 100644 00 Inbox/p1-django-1.pdf create mode 100644 00 Inbox/p2-django-2.pdf create mode 100644 00 Inbox/p3-django-1.pdf create mode 100644 00 Inbox/p4-django_cbv-1.pdf delete mode 100644 00 Inbox/Краткая теория с важными формулами по нечетким выводам.md diff --git a/.obsidian/workspace.json b/.obsidian/workspace.json index 108b076..eeaf828 100644 --- a/.obsidian/workspace.json +++ b/.obsidian/workspace.json @@ -46,7 +46,7 @@ "profileSourceId": "7004edff-76db-412f-95d3-5fd8e180d055", "serial": { "columns": 109, - "data": "\u001b[48;5;22m \u001b[2m20 \u001b[32;22m+\u001b[38;2;205;214;244mЗадача выбора раскладывается на иерархию:\u001b[60X\r\n\u001b[39m \u001b[2m21 \u001b[32;22m+\u001b[38;2;147;153;178m-\u001b[38;2;205;214;244m цель;\u001b[94X\r\n\u001b[39m \u001b[2m22 \u001b[32;22m+\u001b[38;2;147;153;178m-\u001b[38;2;205;214;244m критерии и подцели;\u001b[80X\r\n\u001b[39m \u001b[2m23 \u001b[32;22m+\u001b[38;2;147;153;178m-\u001b[38;2;205;214;244m альтернативы.\u001b[86X\r\n\u001b[39m \u001b[2m24 \u001b[32;22m+\u001b[101X\r\n\u001b[39m \u001b[2m25 \u001b[32;22m+\u001b[38;2;205;214;244mЗатем элементы каждого уровня попарно сравниваются по влиянию на элемент верхнего уровня.\u001b[12X\r\n\u001b[39m \u001b[2m26 \u001b[32;22m+\u001b[101X\r\n\u001b[39m \u001b[2m27 \u001b[32;22m+\u001b[38;2;147;153;178m##\u001b[38;2;250;179;135m \u001b[38;2;148;226;213mШкала Саати\u001b[87X\r\n\u001b[39m \u001b[2m28 \u001b[32;22m+\u001b[101X\r\n\u001b[39m \u001b[2m29 \u001b[32;22m+\u001b[38;2;205;214;244mПопарные сравнения обычно задаются 9-балльной шкалой:\u001b[48X\r\n\u001b[39m \u001b[2m30 \u001b[32;22m+\u001b[38;2;147;153;178m-\u001b[38;2;205;214;244m \u001b[38;2;147;153;178m`\u001b[38;2;205;214;244m1\u001b[38;2;147;153;178m`\u001b[38;2;205;214;244m — нет преимущества;\u001b[76X\r\n\u001b[39m \u001b[2m31 \u001b[32;22m+\u001b[38;2;147;153;178m-\u001b[38;2;205;214;244m \u001b[38;2;147;153;178m`\u001b[38;2;205;214;244m3\u001b[38;2;147;153;178m`\u001b[38;2;205;214;244m — слабое преимущество;\u001b[73X\r\n\u001b[39m \u001b[2m32 \u001b[32;22m+\u001b[38;2;147;153;178m-\u001b[38;2;205;214;244m \u001b[38;2;147;153;178m`\u001b[38;2;205;214;244m5\u001b[38;2;147;153;178m`\u001b[38;2;205;214;244m — существенное преимущество;\u001b[67X\r\n\u001b[39m \u001b[2m33 \u001b[32;22m+\u001b[38;2;147;153;178m-\u001b[38;2;205;214;244m \u001b[38;2;147;153;178m`\u001b[38;2;205;214;244m7\u001b[38;2;147;153;178m`\u001b[38;2;205;214;244m — явное преимущество;\u001b[74X\r\n\u001b[39m \u001b[2m34 \u001b[32;22m+\u001b[38;2;147;153;178m-\u001b[38;2;205;214;244m \u001b[38;2;147;153;178m`\u001b[38;2;205;214;244m9\u001b[38;2;147;153;178m`\u001b[38;2;205;214;244m — абсолютное преимущество;\u001b[69X\r\n\u001b[39m \u001b[2m35 \u001b[32;22m+\u001b[38;2;147;153;178m-\u001b[38;2;205;214;244m \u001b[38;2;147;153;178m`\u001b[38;2;205;214;244m2\u001b[38;2;147;153;178m`\u001b[38;2;205;214;244m, \u001b[38;2;147;153;178m`\u001b[38;2;205;214;244m4\u001b[38;2;147;153;178m`\u001b[38;2;205;214;244m, \u001b[38;2;147;153;178m`\u001b[38;2;205;214;244m6\u001b[38;2;147;153;178m`\u001b[38;2;205;214;244m, \u001b[38;2;147;153;178m`\u001b[38;2;205;214;244m8\u001b[38;2;147;153;178m`\u001b[38;2;205;214;244m — промежуточные оценки;\u001b[57X\r\n\u001b[39m \u001b[2m36 \u001b[32;22m+\u001b[38;2;147;153;178m-\u001b[38;2;205;214;244m обратные значения — преимущество в обратную сторону.\u001b[47X\r\n\u001b[39m \u001b[2m37 \u001b[32;22m+\u001b[101X\r\n\u001b[39m \u001b[2m38 \u001b[32;22m+\u001b[38;2;205;214;244mМатрица сравнений обратно-симметрична:\u001b[63X\r\n\u001b[39m \u001b[2m39 \u001b[32;22m+\u001b[101X\r\n\u001b[39m \u001b[2m40 \u001b[32;22m+\u001b[38;2;205;214;244m$$a_{ij} = \\frac{1}{a_{ji}}$$\u001b[72X\r\n\u001b[39m \u001b[2m41 \u001b[32;22m+\u001b[101X\r\n\u001b[39m \u001b[2m42 \u001b[32;22m+\u001b[38;2;147;153;178m##\u001b[38;2;250;179;135m \u001b[38;2;148;226;213mЭтапы\u001b[93X\r\n\u001b[39m \u001b[2m43 \u001b[32;22m+\u001b[101X\r\n\u001b[39m \u001b[2m44 \u001b[32;22m+\u001b[38;2;205;214;244m1\u001b[38;2;147;153;178m.\u001b[38;2;205;214;244m Описать проблему и цель.\u001b[74X\r\n\u001b[39m \u001b[2m45 \u001b[32;22m+\u001b[38;2;205;214;244m2\u001b[38;2;147;153;178m.\u001b[38;2;205;214;244m Построить иерархию критериев и альтернатив.\u001b[55X\r\n\u001b[39m \u001b[2m46 \u001b[32;22m+\u001b[38;2;205;214;244m3\u001b[38;2;147;153;178m.\u001b[38;2;205;214;244m Построить матрицы попарных сравнений.\u001b[61X\r\n\u001b[39m \u001b[2m47 \u001b[32;22m+\u001b[38;2;205;214;244m4\u001b[38;2;147;153;178m.\u001b[38;2;205;214;244m Вычислить локальные приоритеты.\u001b[67X\r\n\u001b[39m \u001b[2m48 \u001b[32;22m+\u001b[38;2;205;214;244m5\u001b[38;2;147;153;178m.\u001b[38;2;205;214;244m Проверить согласованность матриц.\u001b[65X\r\n\u001b[39m \u001b[2m49 \u001b[32;22m+\u001b[38;2;205;214;244m6\u001b[38;2;147;153;178m.\u001b[38;2;205;214;244m Повторить сравнения для всех уровней.\u001b[61X\r\n\u001b[39m \u001b[2m50 \u001b[32;22m+\u001b[38;2;205;214;244m7\u001b[38;2;147;153;178m.\u001b[38;2;205;214;244m Синтезировать глобальные приоритеты альтернатив.\u001b[50X\r\n\u001b[39m \u001b[2m51 \u001b[32;22m+\u001b[38;2;205;214;244m8\u001b[38;2;147;153;178m.\u001b[38;2;205;214;244m Оценить согласованность всей иерархии.\u001b[60X\r\n\u001b[39m \u001b[2m52 \u001b[32;22m+\r\n\u001b[39m \u001b[2m53 \u001b[32;22m+\u001b[38;2;147;153;178m##\u001b[38;2;250;179;135m \u001b[38;2;148;226;213mЛокальные приоритеты\r\n\u001b[39m \u001b[2m54 \u001b[32;22m+\r\n\u001b[39m \u001b[2m55 \u001b[32;22m+\u001b[38;2;205;214;244mДля матрицы попарных сравнений веса можно приближённо вычислить как среднее геометрическое строк:\r\n\u001b[39m \u001b[2m56 \u001b[32;22m+\r\n\u001b[39m \u001b[2m57 \u001b[32;22m+\u001b[38;2;205;214;244m$$w_j = \\sqrt[n]{\\prod_{l=1}^{n} a_{jl}}$$\r\n\u001b[39m \u001b[2m58 \u001b[32;22m+\r\n\u001b[39m \u001b[2m59 \u001b[32;22m+\u001b[38;2;205;214;244mПосле этого веса нормируются, чтобы получить вектор приоритетов.\r\n\u001b[39m \u001b[2m60 \u001b[32;22m+\r\n\u001b[39m \u001b[2m61 \u001b[32;22m+\u001b[38;2;147;153;178m##\u001b[38;2;250;179;135m \u001b[38;2;148;226;213mСогласованность\r\n\u001b[39m \u001b[2m62 \u001b[32;22m+\r\n\u001b[39m \u001b[2m63 \u001b[32;22m+\u001b[38;2;205;214;244mПолностью согласованная матрица обладает транзитивностью:\r\n\u001b[39m \u001b[2m64 \u001b[32;22m+\r\n\u001b[39m \u001b[2m65 \u001b[32;22m+\u001b[38;2;205;214;244m$$a_{ij} = a_{ik}a_{kj}$$\r\n\u001b[39m \u001b[2m66 \u001b[32;22m+\r\n\u001b[39m \u001b[2m67 \u001b[32;22m+\u001b[38;2;205;214;244mНа практике экспертные суждения обычно не полностью согласованы, поэтому считают индекс согласованнос\r\n\u001b[39m \u001b[2m \u001b[38;2;205;214;244;22mти:\r\n\u001b[39m \u001b[2m68 \u001b[32;22m+\r\n\u001b[39m \u001b[2m69 \u001b[32;22m+\u001b[38;2;205;214;244m$$CI = \\frac{\\lambda_{max} - n}{n - 1}$$\r\n\u001b[39m \u001b[2m70 \u001b[32;22m+\r\n\u001b[39m \u001b[2m71 \u001b[32;22m+\u001b[38;2;205;214;244mИ отношение согласованности:\r\n\u001b[39m \u001b[2m72 \u001b[32;22m+\r\n\u001b[39m \u001b[2m73 \u001b[32;22m+\u001b[38;2;205;214;244m$$CR = \\frac{CI}{RI}$$\r\n\u001b[39m \u001b[2m74 \u001b[32;22m+\r\n\u001b[39m \u001b[2m75 \u001b[32;22m+\u001b[38;2;205;214;244mОбычно приемлемым считают $CR \\le 10\\%$.\r\n\u001b[39m \u001b[2m76 \u001b[32;22m+\r\n\u001b[39m \u001b[2m77 \u001b[32;22m+\u001b[38;2;147;153;178m##\u001b[38;2;250;179;135m \u001b[38;2;148;226;213mРезультат\r\n\u001b[39m \u001b[2m78 \u001b[32;22m+\r\n\u001b[39m \u001b[2m79 \u001b[32;22m+\u001b[38;2;205;214;244mИтог МАИ — глобальные приоритеты альтернатив. Чем выше приоритет, тем предпочтительнее альтернатива в\r\n\u001b[39m \u001b[2m \u001b[38;2;205;214;244;22m рамках построенной иерархической модели.\r\n\u001b[39m \u001b[2m80 \u001b[32;22m+\r\n\u001b[39m \u001b[2m81 \u001b[32;22m+\u001b[38;2;147;153;178m##\u001b[38;2;250;179;135m \u001b[38;2;148;226;213mСвязанные заметки\r\n\u001b[39m \u001b[2m82 \u001b[32;22m+\u001b[38;2;147;153;178m-\u001b[38;2;205;214;244m [[Функция принадлежности]]\r\n\u001b[0m\u001b[109X\r\n\u001b[2m └ \u001b[0m90 Library/Math/Теория нечетких множеств/Логические операции над нечеткими множествами.md (\u001b[32m+58\u001b[0m \u001b[31m-3\u001b[0m)\r\n \u001b[2m 1 \u001b[0m \u001b[38;2;147;153;178m---\r\n\u001b[39;48;5;52m \u001b[2m 2 \u001b[31;22m-\u001b[38;2;205;214;244;2mstatus: seed\u001b[89X\r\n\u001b[39;48;5;22;22m \u001b[2m 2 \u001b[32;22m+\u001b[38;2;205;214;244mstatus: processing\u001b[83X\r\n\u001b[0m \u001b[2m 3 \u001b[0m \u001b[38;2;205;214;244mtype: concept\u001b[88X\r\n\u001b[0m \u001b[2m ⋮\r\n\u001b[0m \u001b[2m 5 \u001b[0m \u001b[38;2;205;214;244m \u001b[38;2;147;153;178m-\u001b[38;2;205;214;244m math\r\n\u001b[39;48;5;22m \u001b[2m 6 \u001b[32;22m+\u001b[38;2;205;214;244m \u001b[38;2;147;153;178m-\u001b[38;2;205;214;244m mephi\u001b[92X\r\n\u001b[0m \u001b[2m 7 \u001b[0m \u001b[38;2;205;214;244m \u001b[38;2;147;153;178m-\u001b[38;2;205;214;244m fuzzy-sets\u001b[87X\r\n\u001b[0m \u001b[2m 8 \u001b[0m \u001b[38;2;205;214;244mcreated: 2025-12-17\r\n\u001b[39;48;5;52m \u001b[2m 8 \u001b[31;22m-\u001b[38;2;205;214;244;2mupdated: 2026-05-07\u001b[82X\r\n\u001b[39;48;5;22;22m \u001b[2m 9 \u001b[32;22m+\u001b[38;2;205;214;244mupdated: 2026-05-29\u001b[82X\r\n\u001b[0m \u001b[2m10 \u001b[0m \u001b[38;2;205;214;244mtitle: Логические операции над нечеткими множествами\u001b[49X\r\n\u001b[39;48;5;22m \u001b[2m11 \u001b[32;22m+\u001b[38;2;205;214;244msource: \"[[МИАД_Л1.pdf]]\"\u001b[76X\r\n\u001b[0m \u001b[2m12 \u001b[0m \u001b[38;2;147;153;178m---\u001b[98X\r\n\u001b[0m \u001b[2m ⋮\r\n\u001b[0m \u001b[2m41\r\n\u001b[48;5;22;22m \u001b[2m42 \u001b[32;22m+\u001b[38;2;147;153;178m##\u001b[38;2;250;179;135m \u001b[38;2;148;226;213mДизъюнктивная сумма\u001b[79X\r\n\u001b[39m \u001b[2m43 \u001b[32;22m+\r\n\u001b[39m \u001b[2m44 \u001b[32;22m+\u001b[38;2;205;214;244mДизъюнктивная сумма:\r\n\u001b[39m \u001b[2m45 \u001b[32;22m+\r\n\u001b[39m \u001b[2m46 \u001b[32;22m+\u001b[38;2;205;214;244m$$A \\oplus B = (A \\cap \\overline{B}) \\cup (\\overline{A} \\cap B)$$\r\n\u001b[39m \u001b[2m47 \u001b[32;22m+\r\n\u001b[39m \u001b[2m48 \u001b[32;22m+\u001b[38;2;205;214;244m$$\\mu_{A \\oplus B}(u) = \\max(\\min(\\mu_A(u), 1 - \\mu_B(u)), \\min(1 - \\mu_A(u), \\mu_B(u)))$$\r\n\u001b[39m \u001b[2m49 \u001b[32;22m+\r\n\u001b[39m \u001b[2m50 \u001b[32;22m+\u001b[38;2;147;153;178m##\u001b[38;2;250;179;135m \u001b[38;2;148;226;213mСвойства\r\n\u001b[39m \u001b[2m51 \u001b[32;22m+\r\n\u001b[39m \u001b[2m52 \u001b[32;22m+\u001b[38;2;205;214;244mДля конъюнкции и дизъюнкции выполняются:\r\n\u001b[39m \u001b[2m53 \u001b[32;22m+\u001b[38;2;147;153;178m-\u001b[38;2;205;214;244m коммутативность;\r\n\u001b[39m \u001b[2m54 \u001b[32;22m+\u001b[38;2;147;153;178m-\u001b[38;2;205;214;244m ассоциативность;\r\n\u001b[39m \u001b[2m55 \u001b[32;22m+\u001b[38;2;147;153;178m-\u001b[38;2;205;214;244m идемпотентность;\r\n\u001b[39m \u001b[2m56 \u001b[32;22m+\u001b[38;2;147;153;178m-\u001b[38;2;205;214;244m дистрибутивность;\r\n\u001b[39m \u001b[2m57 \u001b[32;22m+\u001b[38;2;147;153;178m-\u001b[38;2;205;214;244m инволюция;\r\n\u001b[39m \u001b[2m58 \u001b[32;22m+\u001b[38;2;147;153;178m-\u001b[38;2;205;214;244m законы де Моргана.\r\n\u001b[39m \u001b[2m59 \u001b[32;22m+\r\n\u001b[39m \u001b[2m60 \u001b[32;22m+\u001b[38;2;205;214;244mНе выполняются классические свойства дополнения:\r\n\u001b[39m \u001b[2m61 \u001b[32;22m+\r\n\u001b[39m \u001b[2m62 \u001b[32;22m+\u001b[38;2;205;214;244m$$A \\cup \\overline{A} \\ne U$$\r\n\u001b[39m \u001b[2m63 \u001b[32;22m+\r\n\u001b[39m \u001b[2m64 \u001b[32;22m+\u001b[38;2;205;214;244m$$A \\cap \\overline{A} \\ne \\varnothing$$\r\n\u001b[39m \u001b[2m65 \u001b[32;22m+\r\n\u001b[39m \u001b[2m66 \u001b[32;22m+\u001b[38;2;147;153;178m##\u001b[38;2;250;179;135m \u001b[38;2;148;226;213mАлгебраические операции\r\n\u001b[39m \u001b[2m67 \u001b[32;22m+\r\n\u001b[39m \u001b[2m68 \u001b[32;22m+\u001b[38;2;205;214;244mАлгебраическое произведение:\r\n\u001b[39m \u001b[2m69 \u001b[32;22m+\r\n\u001b[39m \u001b[2m70 \u001b[32;22m+\u001b[38;2;205;214;244m$$\\mu_{A \\cdot B}(u) = \\mu_A(u)\\mu_B(u)$$\r\n\u001b[39m \u001b[2m71 \u001b[32;22m+\r\n\u001b[39m \u001b[2m72 \u001b[32;22m+\u001b[38;2;205;214;244mАлгебраическая сумма:\r\n\u001b[39m \u001b[2m73 \u001b[32;22m+\r\n\u001b[39m \u001b[2m74 \u001b[32;22m+\u001b[38;2;205;214;244m$$\\mu_{A + B}(u) = \\mu_A(u) + \\mu_B(u) - \\mu_A(u)\\mu_B(u)$$\r\n\u001b[39m \u001b[2m75 \u001b[32;22m+\r\n\u001b[39m \u001b[2m76 \u001b[32;22m+\u001b[38;2;205;214;244mСтепень нечеткого множества:\r\n\u001b[39m \u001b[2m77 \u001b[32;22m+\r\n\u001b[39m \u001b[2m78 \u001b[32;22m+\u001b[38;2;205;214;244m$$\\mu_{A^\\alpha}(u) = \\mu_A^\\alpha(u)$$\r\n\u001b[39m \u001b[2m79 \u001b[32;22m+\r\n\u001b[39m \u001b[2m80 \u001b[32;22m+\u001b[38;2;205;214;244mПри $\\alpha = 2$ получается концентрирование, при $\\alpha = 0.5$ — растяжение.\r\n\u001b[39m \u001b[2m81 \u001b[32;22m+\r\n\u001b[39m \u001b[2m82 \u001b[32;22m+\u001b[38;2;147;153;178m##\u001b[38;2;250;179;135m \u001b[38;2;148;226;213mНечеткие операторы\r\n\u001b[39m \u001b[2m83 \u001b[32;22m+\r\n\u001b[39m \u001b[2m84 \u001b[32;22m+\u001b[38;2;205;214;244mОперации объединения, пересечения и отрицания можно обобщать разными способами.\r\n\u001b[39m \u001b[2m85 \u001b[32;22m+\r\n\u001b[39m \u001b[2m86 \u001b[32;22m+\u001b[38;2;205;214;244mТреугольная норма — обобщение конъюнкции. Примеры: минимум, алгебраическое произведение, t-норма Лука\r\n\u001b[39m \u001b[2m \u001b[38;2;205;214;244;22mсевича.\r\n\u001b[39m \u001b[2m87 \u001b[32;22m+\r\n\u001b[39m \u001b[2m88 \u001b[32;22m+\u001b[38;2;205;214;244mТреугольная конорма — обобщение дизъюнкции. Примеры: максимум, алгебраическая сумма, t-конорма Лукасе\r\n\u001b[39m \u001b[2m \u001b[38;2;205;214;244;22mвича.\r\n\u001b[39m \u001b[2m89 \u001b[32;22m+\r\n\u001b[39m \u001b[2m90 \u001b[32;22m+\u001b[38;2;205;214;244mОсновные пары операций:\r\n\u001b[39m \u001b[2m91 \u001b[32;22m+\u001b[38;2;147;153;178m-\u001b[38;2;205;214;244m логика Заде — \u001b[38;2;147;153;178m`\u001b[38;2;205;214;244mmin\u001b[38;2;147;153;178m`\u001b[38;2;205;214;244m и \u001b[38;2;147;153;178m`\u001b[38;2;205;214;244mmax\u001b[38;2;147;153;178m`\u001b[38;2;205;214;244m;\r\n\u001b[39m \u001b[2m92 \u001b[32;22m+\u001b[38;2;147;153;178m-\u001b[38;2;205;214;244m вероятностная логика — алгебраическое произведение и алгебраическая сумма;\r\n\u001b[39m \u001b[2m93 \u001b[32;22m+\u001b[38;2;147;153;178m-\u001b[38;2;205;214;244m логика Лукасевича — t-норма и t-конорма Лукасевича.\r\n\u001b[39m \u001b[2m94 \u001b[32;22m+\r\n\u001b[0m \u001b[2m95 \u001b[0m \u001b[38;2;147;153;178m##\u001b[38;2;250;179;135m \u001b[38;2;148;226;213mСвязанные заметки\u001b[81X\r\n\u001b[0m \u001b[2m ⋮\r\n\u001b[0m \u001b[2m97 \u001b[0m \u001b[38;2;147;153;178m-\u001b[38;2;205;214;244m [[Функция принадлежности]] — операции определены через μ\r\n\u001b[39;48;5;52m \u001b[2m43 \u001b[31;22m-\u001b[101X\r\n\u001b[39;48;5;22m \u001b[2m98 \u001b[32;22m+\u001b[38;2;147;153;178m-\u001b[38;2;205;214;244m [[Нечеткий вывод]] — разные импликации используют разные операции над функциями принадлежности\u001b[5X\r\n\u001b[0m\u001b[109X\r\n\u001b[2m └ \u001b[0m90 Library/Math/Теория нечетких множеств/Нечеткие отношения.md (\u001b[32m+61\u001b[0m \u001b[31m-0\u001b[0m)\r\n\u001b[48;5;22m \u001b[2m 1 \u001b[32;22m+\u001b[38;2;147;153;178m---\u001b[98X\r\n\u001b[39m \u001b[2m 2 \u001b[32;22m+\u001b[38;2;205;214;244mstatus: seed\r\n\u001b[39m \u001b[2m 3 \u001b[32;22m+\u001b[38;2;205;214;244mtype: concept\r\n\u001b[39m \u001b[2m 4 \u001b[32;22m+\u001b[38;2;205;214;244mtags:\r\n\u001b[39m \u001b[2m 5 \u001b[32;22m+\u001b[38;2;205;214;244m \u001b[38;2;147;153;178m-\u001b[38;2;205;214;244m math\r\n\u001b[39m \u001b[2m 6 \u001b[32;22m+\u001b[38;2;205;214;244m \u001b[38;2;147;153;178m-\u001b[38;2;205;214;244m mephi\r\n\u001b[39m \u001b[2m 7 \u001b[32;22m+\u001b[38;2;205;214;244m \u001b[38;2;147;153;178m-\u001b[38;2;205;214;244m fuzzy-sets\r\n\u001b[39m \u001b[2m 8 \u001b[32;22m+\u001b[38;2;205;214;244mcreated: 2026-05-29\r\n\u001b[39m \u001b[2m 9 \u001b[32;22m+\u001b[38;2;205;214;244mupdated: 2026-05-29\r\n\u001b[39m \u001b[2m10 \u001b[32;22m+\u001b[38;2;205;214;244mtitle: Нечеткие отношения\r\n\u001b[39m \u001b[2m11 \u001b[32;22m+\u001b[38;2;205;214;244msource: \"[[МИАД_Л2.pdf]]\"\r\n\u001b[39m \u001b[2m12 \u001b[32;22m+\u001b[38;2;147;153;178m---\r\n\u001b[39m \u001b[2m13 \u001b[32;22m+\r\n\u001b[39m \u001b[2m14 \u001b[32;22m+\u001b[38;2;147;153;178m#\u001b[38;2;243;139;168m \u001b[38;2;148;226;213mНечеткие отношения\r\n\u001b[39m \u001b[2m15 \u001b[32;22m+\r\n\u001b[39m \u001b[2m16 \u001b[32;22m+\u001b[38;2;205;214;244mНечеткое отношение $R$ на универсальном множестве $U = U_1 \\times U_2$ — это нечеткое подмножество де\r\n\u001b[39m \u001b[2m \u001b[38;2;205;214;244;22mкартова произведения с функцией принадлежности:\r\n\u001b[39m \u001b[2m17 \u001b[32;22m+\r\n\u001b[39m \u001b[2m18 \u001b[32;22m+\u001b[38;2;205;214;244m$$\\mu_R(x, y): U_1 \\times U_2 \\to [0, 1]$$\r\n\u001b[39m \u001b[2m19 \u001b[32;22m+\r\n\u001b[39m \u001b[2m20 \u001b[32;22m+\u001b[38;2;205;214;244mЗначение $\\mu_R(x, y)$ трактуется как субъективная мера выполнения отношения $xRy$.\r\n\u001b[39m \u001b[2m21 \u001b[32;22m+\r\n\u001b[39m \u001b[2m22 \u001b[32;22m+\u001b[38;2;147;153;178m##\u001b[38;2;250;179;135m \u001b[38;2;148;226;213mОтличие от четкого отношения\r\n\u001b[39m \u001b[2m23 \u001b[32;22m+\r\n\u001b[39m \u001b[2m24 \u001b[32;22m+\u001b[38;2;205;214;244mЧеткое бинарное отношение отвечает на вопрос «связаны элементы или нет». Нечеткое отношение показывае\r\n\u001b[39m \u001b[2m \u001b[38;2;205;214;244;22mт силу связи: например, вес дуги во взвешенном графе.\r\n\u001b[39m \u001b[2m25 \u001b[32;22m+\r\n\u001b[39m \u001b[2m26 \u001b[32;22m+\u001b[38;2;205;214;244mПримеры:\r\n\u001b[39m \u001b[2m27 \u001b[32;22m+\u001b[38;2;147;153;178m-\u001b[38;2;205;214;244m «$x$ и $y$ близкие числа»;\r\n\u001b[39m \u001b[2m28 \u001b[32;22m+\u001b[38;2;147;153;178m-\u001b[38;2;205;214;244m «$x$ намного больше $y$»;\r\n\u001b[39m \u001b[2m29 \u001b[32;22m+\u001b[38;2;147;153;178m-\u001b[38;2;205;214;244m качественные связи между объектами системы, где простое да/нет теряет информацию.\r\n\u001b[39m \u001b[2m30 \u001b[32;22m+\r\n\u001b[39m \u001b[2m31 \u001b[32;22m+\u001b[38;2;147;153;178m##\u001b[38;2;250;179;135m \u001b[38;2;148;226;213mСпособы задания\r\n\u001b[39m \u001b[2m32 \u001b[32;22m+\r\n\u001b[39m \u001b[2m33 \u001b[32;22m+\u001b[38;2;205;214;244mДля конечных универсумов отношение удобно задавать матрицей: строки соответствуют элементам $U_1$, ст\r\n\u001b[39m \u001b[2m \u001b[38;2;205;214;244;22mолбцы — элементам $U_2$, значения ячеек — степеням принадлежности.\r\n\u001b[39m \u001b[2m34 \u001b[32;22m+\r\n\u001b[39m \u001b[2m35 \u001b[32;22m+\u001b[38;2;205;214;244mДля счетных или конечных множеств отношение также можно интерпретировать как взвешенный граф.\r\n\u001b[39m \u001b[2m36 \u001b[32;22m+\r\n\u001b[39m \u001b[2m37 \u001b[32;22m+\u001b[38;2;147;153;178m##\u001b[38;2;250;179;135m \u001b[38;2;148;226;213mОперации\r\n\u001b[39m \u001b[2m38 \u001b[32;22m+\r\n\u001b[39m \u001b[2m39 \u001b[32;22m+\u001b[38;2;205;214;244mНа нечеткие отношения переносятся операции для [[Логические операции над нечеткими множествами|нечетк\r\n\u001b[39m \u001b[2m \u001b[38;2;205;214;244;22mих множеств]]:\r\n\u001b[39m \u001b[2m40 \u001b[32;22m+\u001b[38;2;147;153;178m-\u001b[38;2;205;214;244m носитель: пары, для которых $\\mu_R(x, y) > 0$;\r\n\u001b[39m \u001b[2m41 \u001b[32;22m+\u001b[38;2;147;153;178m-\u001b[38;2;205;214;244m объединение;\r\n\u001b[39m \u001b[2m42 \u001b[32;22m+\u001b[38;2;147;153;178m-\u001b[38;2;205;214;244m пересечение;\r\n\u001b[39m \u001b[2m43 \u001b[32;22m+\u001b[38;2;147;153;178m-\u001b[38;2;205;214;244m отрицание;\r\n\u001b[39m \u001b[2m44 \u001b[32;22m+\u001b[38;2;147;153;178m-\u001b[38;2;205;214;244m отношение уровня $\\alpha$: пары, для которых $\\mu_R(x, y) \\ge \\alpha$.\r\n\u001b[39m \u001b[2m45 \u001b[32;22m+\r\n\u001b[39m \u001b[2m46 \u001b[32;22m+\u001b[38;2;147;153;178m##\u001b[38;2;250;179;135m \u001b[38;2;148;226;213mКомпозиции отношений\r\n\u001b[39m \u001b[2m47 \u001b[32;22m+\r\n\u001b[39m \u001b[2m48 \u001b[32;22m+\u001b[38;2;205;214;244mОсновные композиции:\r\n\u001b[39m \u001b[2m49 \u001b[32;22m+\r\n\u001b[39m \u001b[2m50 \u001b[32;22m+\u001b[38;2;205;214;244m$$\\mu_{AB}(x, z) = \\max_y \\min(\\mu_A(x, y), \\mu_B(y, z))$$\r\n\u001b[39m \u001b[2m51 \u001b[32;22m+\r\n\u001b[39m \u001b[2m52 \u001b[32;22m+\u001b[38;2;205;214;244m$$\\mu_{A \\circ B}(x, z) = \\min_y \\max(\\mu_A(x, y), \\mu_B(y, z))$$\r\n\u001b[39m \u001b[2m53 \u001b[32;22m+\r\n\u001b[39m \u001b[2m54 \u001b[32;22m+\u001b[38;2;205;214;244m$$\\mu_{A * B}(x, z) = \\sup_y \\mu_A(x, y)\\mu_B(y, z)$$\r\n\u001b[39m \u001b[2m55 \u001b[32;22m+\r\n\u001b[39m \u001b[2m56 \u001b[32;22m+\u001b[38;2;205;214;244mМаксиминная композиция особенно важна для [[Нечеткий вывод|нечеткого вывода]].\r\n\u001b[39m \u001b[2m57 \u001b[32;22m+\r\n\u001b[39m \u001b[2m58 \u001b[32;22m+\u001b[38;2;147;153;178m##\u001b[38;2;250;179;135m \u001b[38;2;148;226;213mСвязанные заметки\r\n\u001b[39m \u001b[2m59 \u001b[32;22m+\u001b[38;2;147;153;178m-\u001b[38;2;205;214;244m [[Теория нечетких множеств]]\r\n\u001b[39m \u001b[2m60 \u001b[32;22m+\u001b[38;2;147;153;178m-\u001b[38;2;205;214;244m [[Функция принадлежности]]\r\n\u001b[39m \u001b[2m61 \u001b[32;22m+\u001b[38;2;147;153;178m-\u001b[38;2;205;214;244m [[Нечеткий вывод]]\r\n\u001b[0m\u001b[109X\r\n\u001b[2m └ \u001b[0m90 Library/Math/Теория нечетких множеств/Нечеткий вывод.md (\u001b[32m+69\u001b[0m \u001b[31m-0\u001b[0m)\r\n\u001b[48;5;22m \u001b[2m 1 \u001b[32;22m+\u001b[38;2;147;153;178m---\u001b[98X\r\n\u001b[39m \u001b[2m 2 \u001b[32;22m+\u001b[38;2;205;214;244mstatus: seed\r\n\u001b[39m \u001b[2m 3 \u001b[32;22m+\u001b[38;2;205;214;244mtype: concept\r\n\u001b[39m \u001b[2m 4 \u001b[32;22m+\u001b[38;2;205;214;244mtags:\r\n\u001b[39m \u001b[2m 5 \u001b[32;22m+\u001b[38;2;205;214;244m \u001b[38;2;147;153;178m-\u001b[38;2;205;214;244m math\r\n\u001b[39m \u001b[2m 6 \u001b[32;22m+\u001b[38;2;205;214;244m \u001b[38;2;147;153;178m-\u001b[38;2;205;214;244m mephi\r\n\u001b[39m \u001b[2m 7 \u001b[32;22m+\u001b[38;2;205;214;244m \u001b[38;2;147;153;178m-\u001b[38;2;205;214;244m fuzzy-sets\r\n\u001b[39m \u001b[2m 8 \u001b[32;22m+\u001b[38;2;205;214;244mcreated: 2026-05-29\r\n\u001b[39m \u001b[2m 9 \u001b[32;22m+\u001b[38;2;205;214;244mupdated: 2026-05-29\r\n\u001b[39m \u001b[2m10 \u001b[32;22m+\u001b[38;2;205;214;244mtitle: Нечеткий вывод\r\n\u001b[39m \u001b[2m11 \u001b[32;22m+\u001b[38;2;205;214;244msource: \"[[МИАД_Л3_нечеткий_вывод.pdf]]\"\r\n\u001b[39m \u001b[2m12 \u001b[32;22m+\u001b[38;2;147;153;178m---\r\n\u001b[39m \u001b[2m13 \u001b[32;22m+\r\n\u001b[39m \u001b[2m14 \u001b[32;22m+\u001b[38;2;147;153;178m#\u001b[38;2;243;139;168m \u001b[38;2;148;226;213mНечеткий вывод\r\n\u001b[39m \u001b[2m15 \u001b[32;22m+\r\n\u001b[39m \u001b[2m16 \u001b[32;22m+\u001b[38;2;205;214;244mНечеткий логический вывод — это аппроксимация зависимости выходной лингвистической переменной от вход\r\n\u001b[39m \u001b[2m \u001b[38;2;205;214;244;22mных переменных через базу знаний и операции над нечеткими множествами.\r\n\u001b[39m \u001b[2m17 \u001b[32;22m+\r\n\u001b[39m \u001b[2m18 \u001b[32;22m+\u001b[38;2;147;153;178m##\u001b[38;2;250;179;135m \u001b[38;2;148;226;213mНечеткая и лингвистическая переменная\r\n\u001b[39m \u001b[2m19 \u001b[32;22m+\r\n\u001b[39m \u001b[2m20 \u001b[32;22m+\u001b[38;2;205;214;244mНечеткая переменная задаётся кортежем $\\langle X, U, \\tilde{X} \\rangle$, где:\r\n\u001b[39m \u001b[2m21 \u001b[32;22m+\u001b[38;2;147;153;178m-\u001b[38;2;205;214;244m $X$ — имя переменной;\r\n\u001b[39m \u001b[2m22 \u001b[32;22m+\u001b[38;2;147;153;178m-\u001b[38;2;205;214;244m $U$ — универсум;\r\n\u001b[39m \u001b[2m23 \u001b[32;22m+\u001b[38;2;147;153;178m-\u001b[38;2;205;214;244m $\\tilde{X}$ — нечеткое множество, ограничивающее значения переменной.\r\n\u001b[39m \u001b[2m24 \u001b[32;22m+\r\n\u001b[39m \u001b[2m25 \u001b[32;22m+\u001b[38;2;205;214;244mЛингвистическая переменная задаётся кортежем $\\langle \\beta, T, U, G, M \\rangle$, где:\r\n\u001b[39m \u001b[2m26 \u001b[32;22m+\u001b[38;2;147;153;178m-\u001b[38;2;205;214;244m $\\beta$ — имя переменной;\r\n\u001b[39m \u001b[2m27 \u001b[32;22m+\u001b[38;2;147;153;178m-\u001b[38;2;205;214;244m $T$ — терм-множество;\r\n\u001b[39m \u001b[2m28 \u001b[32;22m+\u001b[38;2;147;153;178m-\u001b[38;2;205;214;244m $U$ — универсум;\r\n\u001b[39m \u001b[2m29 \u001b[32;22m+\u001b[38;2;147;153;178m-\u001b[38;2;205;214;244m $G$ — синтаксическая процедура образования новых значений;\r\n\u001b[39m \u001b[2m30 \u001b[32;22m+\u001b[38;2;147;153;178m-\u001b[38;2;205;214;244m $M$ — семантическая процедура, сопоставляющая значениям нечеткие переменные.\r\n\u001b[39m \u001b[2m31 \u001b[32;22m+\r\n\u001b[39m \u001b[2m32 \u001b[32;22m+\u001b[38;2;205;214;244mНапример, значения лингвистической переменной «возраст»: «молодой», «среднего возраста», «пожилой».\r\n\u001b[39m \u001b[2m33 \u001b[32;22m+\r\n\u001b[39m \u001b[2m34 \u001b[32;22m+\u001b[38;2;147;153;178m##\u001b[38;2;250;179;135m \u001b[38;2;148;226;213mИмпликация\r\n\u001b[39m \u001b[2m35 \u001b[32;22m+\r\n\u001b[39m \u001b[2m36 \u001b[32;22m+\u001b[38;2;205;214;244mВ нечеткой логике импликация может задаваться разными способами. В лекции используются:\r\n\u001b[39m \u001b[2m37 \u001b[32;22m+\u001b[38;2;147;153;178m-\u001b[38;2;205;214;244m импликация Мамдани — минимум функций принадлежности;\r\n\u001b[39m \u001b[2m38 \u001b[32;22m+\u001b[38;2;147;153;178m-\u001b[38;2;205;214;244m импликация Ларсена — произведение функций принадлежности.\r\n\u001b[39m \u001b[2m39 \u001b[32;22m+\r\n\u001b[39m \u001b[2m40 \u001b[32;22m+\u001b[38;2;147;153;178m##\u001b[38;2;250;179;135m \u001b[38;2;148;226;213mКомпозиционное правило вывода\r\n\u001b[39m \u001b[2m41 \u001b[32;22m+\r\n\u001b[39m \u001b[2m42 \u001b[32;22m+\u001b[38;2;205;214;244mЕсли $A$ — нечеткое подмножество универсума $U$, а $F$ — нечеткое подмножество $U \\times V$, то резул\r\n\u001b[39m \u001b[2m \u001b[38;2;205;214;244;22mьтат вывода:\r\n\u001b[39m \u001b[2m43 \u001b[32;22m+\r\n\u001b[39m \u001b[2m44 \u001b[32;22m+\u001b[38;2;205;214;244m$$B = A \\circ F$$\r\n\u001b[39m \u001b[2m45 \u001b[32;22m+\r\n\u001b[39m \u001b[2m46 \u001b[32;22m+\u001b[38;2;205;214;244mПри импликации Мамдани обычно используется максиминная композиция:\r\n\u001b[39m \u001b[2m47 \u001b[32;22m+\r\n\u001b[39m \u001b[2m48 \u001b[32;22m+\u001b[38;2;205;214;244m$$\\mu_B(v) = \\max_u \\min(\\mu_A(u), \\mu_F(u, v))$$\r\n\u001b[39m \u001b[2m49 \u001b[32;22m+\r\n\u001b[39m \u001b[2m50 \u001b[32;22m+\u001b[38;2;147;153;178m##\u001b[38;2;250;179;135m \u001b[38;2;148;226;213mЭтапы нечеткого вывода\r\n\u001b[39m \u001b[2m51 \u001b[32;22m+\r\n\u001b[39m \u001b[2m52 \u001b[32;22m+\u001b[38;2;205;214;244m1\u001b[38;2;147;153;178m.\u001b[38;2;205;214;244m Фаззификация — вычисление степени истинности предпосылок правил для конкретных входных значений.\r\n\u001b[39m \u001b[2m53 \u001b[32;22m+\u001b[38;2;205;214;244m2\u001b[38;2;147;153;178m.\u001b[38;2;205;214;244m Импликация — применение степени истинности предпосылки к заключению правила.\r\n\u001b[39m \u001b[2m54 \u001b[32;22m+\u001b[38;2;205;214;244m3\u001b[38;2;147;153;178m.\u001b[38;2;205;214;244m Композиция — объединение результатов правил в одно нечеткое множество для выходной переменной.\r\n\u001b[39m \u001b[2m55 \u001b[32;22m+\u001b[38;2;205;214;244m4\u001b[38;2;147;153;178m.\u001b[38;2;205;214;244m Дефаззификация — необязательное преобразование нечеткого результата в четкое значение.\r\n\u001b[39m \u001b[2m56 \u001b[32;22m+\r\n\u001b[39m \u001b[2m57 \u001b[32;22m+\u001b[38;2;147;153;178m##\u001b[38;2;250;179;135m \u001b[38;2;148;226;213mАлгоритмы\r\n\u001b[39m \u001b[2m58 \u001b[32;22m+\r\n\u001b[39m \u001b[2m59 \u001b[32;22m+\u001b[38;2;147;153;178m**\u001b[38;2;243;139;168;1mМамдани:\u001b[38;2;147;153;178;22m**\u001b[38;2;205;214;244m заключение правила отсекается минимумом, результаты правил объединяются максимумом.\r\n\u001b[39m \u001b[2m60 \u001b[32;22m+\r\n\u001b[39m \u001b[2m61 \u001b[32;22m+\u001b[38;2;147;153;178m**\u001b[38;2;243;139;168;1mЛарсен:\u001b[38;2;147;153;178;22m**\u001b[38;2;205;214;244m заключение масштабируется произведением, композиция может выполняться максимумом или сумм\r\n\u001b[39m \u001b[2m \u001b[38;2;205;214;244;22mированием.\r\n\u001b[39m \u001b[2m62 \u001b[32;22m+\r\n\u001b[39m \u001b[2m63 \u001b[32;22m+\u001b[38;2;147;153;178m**\u001b[38;2;243;139;168;1mЦукамото:\u001b[38;2;147;153;178;22m**\u001b[38;2;205;214;244m заключения должны иметь монотонные функции принадлежности; для каждого правила получает\r\n\u001b[39m \u001b[2m \u001b[38;2;205;214;244;22mся четкое значение, итог считается как взвешенное среднее.\r\n\u001b[39m \u001b[2m64 \u001b[32;22m+\r\n\u001b[39m \u001b[2m65 \u001b[32;22m+\u001b[38;2;147;153;178m##\u001b[38;2;250;179;135m \u001b[38;2;148;226;213mСвязанные заметки\r\n\u001b[39m \u001b[2m66 \u001b[32;22m+\u001b[38;2;147;153;178m-\u001b[38;2;205;214;244m [[Теория нечетких множеств]]\r\n\u001b[39m \u001b[2m67 \u001b[32;22m+\u001b[38;2;147;153;178m-\u001b[38;2;205;214;244m [[Нечеткие отношения]]\r\n\u001b[39m \u001b[2m68 \u001b[32;22m+\u001b[38;2;147;153;178m-\u001b[38;2;205;214;244m [[Функция принадлежности]]\r\n\u001b[39m \u001b[2m69 \u001b[32;22m+\u001b[38;2;147;153;178m-\u001b[38;2;205;214;244m [[Логические операции над нечеткими множествами]]\r\n\u001b[0m\u001b[109X\r\n\u001b[2m └ \u001b[0m90 Library/Math/Теория нечетких множеств/Определение нечеткого множества.md (\u001b[32m+8\u001b[0m \u001b[31m-2\u001b[0m)\r\n \u001b[2m 1 \u001b[0m \u001b[38;2;147;153;178m---\r\n\u001b[39;48;5;52m \u001b[2m 2 \u001b[31;22m-\u001b[38;2;205;214;244;2mstatus: seed\u001b[89X\r\n\u001b[39;48;5;22;22m \u001b[2m 2 \u001b[32;22m+\u001b[38;2;205;214;244mstatus: processing\u001b[83X\r\n\u001b[0m \u001b[2m 3 \u001b[0m \u001b[38;2;205;214;244mtype: concept\u001b[88X\r\n\u001b[0m \u001b[2m ⋮\r\n\u001b[0m \u001b[2m 5 \u001b[0m \u001b[38;2;205;214;244m \u001b[38;2;147;153;178m-\u001b[38;2;205;214;244m math\r\n\u001b[39;48;5;22m \u001b[2m 6 \u001b[32;22m+\u001b[38;2;205;214;244m \u001b[38;2;147;153;178m-\u001b[38;2;205;214;244m mephi\u001b[92X\r\n\u001b[0m \u001b[2m 7 \u001b[0m \u001b[38;2;205;214;244m \u001b[38;2;147;153;178m-\u001b[38;2;205;214;244m fuzzy-sets\u001b[87X\r\n\u001b[0m \u001b[2m 8 \u001b[0m \u001b[38;2;205;214;244mcreated: 2026-02-17\r\n\u001b[39;48;5;52m \u001b[2m 8 \u001b[31;22m-\u001b[38;2;205;214;244;2mupdated: 2026-05-07\u001b[82X\r\n\u001b[39;48;5;22;22m \u001b[2m 9 \u001b[32;22m+\u001b[38;2;205;214;244mupdated: 2026-05-29\u001b[82X\r\n\u001b[0m \u001b[2m10 \u001b[0m \u001b[38;2;205;214;244mtitle: Определение Нечеткого Множества\u001b[63X\r\n\u001b[39;48;5;22m \u001b[2m11 \u001b[32;22m+\u001b[38;2;205;214;244msource: \"[[МИАД_Л1.pdf]]\"\u001b[76X\r\n\u001b[0m \u001b[2m12 \u001b[0m \u001b[38;2;147;153;178m---\u001b[98X\r\n\u001b[0m \u001b[2m ⋮\r\n\u001b[0m \u001b[2m25\r\n\u001b[48;5;22;22m \u001b[2m26 \u001b[32;22m+\u001b[38;2;205;214;244mНечеткая логика удобна, когда нужно формализовать качественные понятия естественного языка: «большой»\r\n\u001b[39m \u001b[2m \u001b[38;2;205;214;244;22m, «молодой», «популярный». Такое понятие сначала задаётся функцией принадлежности, а затем использует\r\n\u001b[39m \u001b[2m \u001b[38;2;205;214;244;22mся как математический объект.\r\n\u001b[39m \u001b[2m27 \u001b[32;22m+\r\n\u001b[39m \u001b[2m28 \u001b[32;22m+\u001b[38;2;205;214;244mПлюс подхода — описание задачи языком, близким к естественному. Минус — зависимость модели от ЛПР или\r\n\u001b[39m \u001b[2m \u001b[38;2;205;214;244;22m экспертов: вид и параметры функции принадлежности выбираются субъективно.\r\n\u001b[39m \u001b[2m29 \u001b[32;22m+\r\n\u001b[0m \u001b[2m30 \u001b[0m \u001b[38;2;205;214;244mПримеры:\u001b[93X\r\n\r\n\u001b[39;2m └ \u001b[0m90 Library/Math/Теория нечетких множеств/Теория нечетких множеств.md (\u001b[32m+4\u001b[0m \u001b[31m-2\u001b[0m)\r\n \u001b[2m 1 \u001b[0m \u001b[38;2;147;153;178m---\r\n\u001b[39;48;5;52m \u001b[2m 2 \u001b[31;22m-\u001b[38;2;205;214;244;2mstatus: stable\u001b[87X\r\n\u001b[39;48;5;22;22m \u001b[2m 2 \u001b[32;22m+\u001b[38;2;205;214;244mstatus: processing\u001b[83X\r\n\u001b[0m \u001b[2m 3 \u001b[0m \u001b[38;2;205;214;244mtype: moc\u001b[92X\r\n\u001b[0m \u001b[2m ⋮\r\n\u001b[0m \u001b[2m 8 \u001b[0m \u001b[38;2;205;214;244mcreated: 2026-05-02\r\n\u001b[39;48;5;52m \u001b[2m 9 \u001b[31;22m-\u001b[38;2;205;214;244;2mupdated: 2026-05-07\u001b[82X\r\n\u001b[39;48;5;22;22m \u001b[2m 9 \u001b[32;22m+\u001b[38;2;205;214;244mupdated: 2026-05-29\u001b[82X\r\n\u001b[0m \u001b[2m10 \u001b[0m \u001b[38;2;205;214;244mtitle: Теория Нечетких Множеств\u001b[70X\r\n\u001b[0m \u001b[2m ⋮\r\n\u001b[0m \u001b[2m18 \u001b[0m \u001b[38;2;147;153;178m-\u001b[38;2;205;214;244m [[Логические операции над нечеткими множествами]]\r\n\u001b[39;48;5;22m \u001b[2m19 \u001b[32;22m+\u001b[38;2;147;153;178m-\u001b[38;2;205;214;244m [[Нечеткие отношения]]\u001b[77X\r\n\u001b[39m \u001b[2m20 \u001b[32;22m+\u001b[38;2;147;153;178m-\u001b[38;2;205;214;244m [[Нечеткий вывод]]\r\n\u001b[0m \u001b[2m21 \u001b[0m \u001b[38;2;147;153;178m-\u001b[38;2;205;214;244m [[Определение нечеткого множества]]\u001b[64X\r\n\r\n\u001b[39;2m └ \u001b[0m90 Library/Math/Теория нечетких множеств/Функция принадлежности.md (\u001b[32m+14\u001b[0m \u001b[31m-3\u001b[0m)\r\n \u001b[2m 1 \u001b[0m \u001b[38;2;147;153;178m---\r\n\u001b[39;48;5;52m \u001b[2m 2 \u001b[31;22m-\u001b[38;2;205;214;244;2mstatus: stable\u001b[87X\r\n\u001b[39;48;5;22;22m \u001b[2m 2 \u001b[32;22m+\u001b[38;2;205;214;244mstatus: processing\u001b[83X\r\n\u001b[0m \u001b[2m 3 \u001b[0m \u001b[38;2;205;214;244mtype: concept\u001b[88X\r\n\u001b[0m \u001b[2m ⋮\r\n\u001b[0m \u001b[2m 8 \u001b[0m \u001b[38;2;205;214;244mcreated: 2026-02-17\r\n\u001b[39;48;5;52m \u001b[2m 9 \u001b[31;22m-\u001b[38;2;205;214;244;2mupdated: 2026-05-07\u001b[82X\r\n\u001b[39;48;5;22;22m \u001b[2m 9 \u001b[32;22m+\u001b[38;2;205;214;244mupdated: 2026-05-29\u001b[82X\r\n\u001b[0m \u001b[2m10 \u001b[0m \u001b[38;2;205;214;244mtitle: Функция принадлежности\u001b[72X\r\n\u001b[39;48;5;22m \u001b[2m11 \u001b[32;22m+\u001b[38;2;205;214;244msource:\u001b[94X\r\n\u001b[39m \u001b[2m12 \u001b[32;22m+\u001b[38;2;205;214;244m \u001b[38;2;147;153;178m-\u001b[38;2;205;214;244m \"[[МИАД_Л1.pdf]]\"\r\n\u001b[39m \u001b[2m13 \u001b[32;22m+\u001b[38;2;205;214;244m \u001b[38;2;147;153;178m-\u001b[38;2;205;214;244m \"[[МИАД_Л2.pdf]]\"\r\n\u001b[0m \u001b[2m14 \u001b[0m \u001b[38;2;147;153;178m---\u001b[98X\r\n\u001b[0m \u001b[2m ⋮\r\n\u001b[0m \u001b[2m22\r\n\u001b[48;5;22;22m \u001b[2m23 \u001b[32;22m+\u001b[38;2;205;214;244mПеред построением функции принадлежности важно понять шкалу измерения признака:\u001b[22X\r\n\u001b[39m \u001b[2m24 \u001b[32;22m+\u001b[38;2;147;153;178m-\u001b[38;2;205;214;244m номинальная — категории без порядка;\r\n\u001b[39m \u001b[2m25 \u001b[32;22m+\u001b[38;2;147;153;178m-\u001b[38;2;205;214;244m порядковая — категории упорядочены, но расстояния между ними не интерпретируются;\r\n\u001b[39m \u001b[2m26 \u001b[32;22m+\u001b[38;2;147;153;178m-\u001b[38;2;205;214;244m интервальная — имеют смысл разности значений;\r\n\u001b[39m \u001b[2m27 \u001b[32;22m+\u001b[38;2;147;153;178m-\u001b[38;2;205;214;244m относительная — имеют смысл и разности, и отношения;\r\n\u001b[39m \u001b[2m28 \u001b[32;22m+\u001b[38;2;147;153;178m-\u001b[38;2;205;214;244m дихотомическая — частный случай номинальной шкалы с двумя значениями.\r\n\u001b[39m \u001b[2m29 \u001b[32;22m+\r\n\u001b[39m \u001b[2m30 \u001b[32;22m+\u001b[38;2;205;214;244mПрямые методы обычно применяются для признаков в относительной шкале. Косвенные методы применяются, к\r\n\u001b[39m \u001b[2m \u001b[38;2;205;214;244;22mогда данные качественные или категориальные; распространённый вариант — парные сравнения по шкале Саа\r\n\u001b[39m \u001b[2m \u001b[38;2;205;214;244;22mти.\r\n\u001b[39m \u001b[2m31 \u001b[32;22m+\r\n\u001b[0m \u001b[2m32 \u001b[0m \u001b[38;2;147;153;178m##\u001b[38;2;250;179;135m \u001b[38;2;148;226;213mТиповые формы кривых\u001b[78X\r\n\u001b[0m \u001b[2m ⋮\r\n\u001b[0m \u001b[2m56 \u001b[0m \u001b[38;2;147;153;178m-\u001b[38;2;205;214;244m [[Линейные модели]] — сигмоидальная функция принадлежности = та же сигмоида в логистической регресс\r\n\u001b[0m \u001b[2m \u001b[38;2;205;214;244;22mии\r\n\u001b[39;48;5;52m \u001b[2m45 \u001b[31;22m-\u001b[101X\r\n\u001b[0m\u001b[109X\r\n\u001b[2m └ \u001b[0m90 Library/Programming/Ruby On Rails/Capistrano deploy через systemd.md (\u001b[32m+42\u001b[0m \u001b[31m-0\u001b[0m)\r\n\u001b[48;5;22m \u001b[2m 1 \u001b[32;22m+\u001b[38;2;147;153;178m---\u001b[98X\r\n\u001b[39m \u001b[2m 2 \u001b[32;22m+\u001b[38;2;205;214;244mstatus: seed\r\n\u001b[39m \u001b[2m 3 \u001b[32;22m+\u001b[38;2;205;214;244mtype: guide\r\n\u001b[39m \u001b[2m 4 \u001b[32;22m+\u001b[38;2;205;214;244mtags:\r\n\u001b[39m \u001b[2m 5 \u001b[32;22m+\u001b[38;2;205;214;244m \u001b[38;2;147;153;178m-\u001b[38;2;205;214;244m programming\r\n\u001b[39m \u001b[2m 6 \u001b[32;22m+\u001b[38;2;205;214;244m \u001b[38;2;147;153;178m-\u001b[38;2;205;214;244m ruby-on-rails\r\n\u001b[39m \u001b[2m 7 \u001b[32;22m+\u001b[38;2;205;214;244m \u001b[38;2;147;153;178m-\u001b[38;2;205;214;244m deploy\r\n\u001b[39m \u001b[2m 8 \u001b[32;22m+\u001b[38;2;205;214;244mcreated: 2026-05-29\r\n\u001b[39m \u001b[2m 9 \u001b[32;22m+\u001b[38;2;205;214;244mupdated: 2026-05-29\r\n\u001b[39m \u001b[2m10 \u001b[32;22m+\u001b[38;2;205;214;244mtitle: Capistrano deploy через systemd\r\n\u001b[39m \u001b[2m11 \u001b[32;22m+\u001b[38;2;205;214;244msource: \"[[Команды для деплоя с помощью Capistrano]]\"\r\n\u001b[39m \u001b[2m12 \u001b[32;22m+\u001b[38;2;147;153;178m---\r\n\u001b[39m \u001b[2m13 \u001b[32;22m+\r\n\u001b[39m \u001b[2m14 \u001b[32;22m+\u001b[38;2;147;153;178m#\u001b[38;2;243;139;168m \u001b[38;2;148;226;213mCapistrano deploy через systemd\r\n\u001b[39m \u001b[2m15 \u001b[32;22m+\r\n\u001b[39m \u001b[2m16 \u001b[32;22m+\u001b[38;2;205;214;244mЗаметка про выдачу минимальных \u001b[38;2;147;153;178m`\u001b[38;2;205;214;244msudo\u001b[38;2;147;153;178m`\u001b[38;2;205;214;244m-прав для деплоя Rails-приложения через Capistrano, когда сервис\r\n\u001b[39m \u001b[2m \u001b[38;2;205;214;244;22mы управляются через \u001b[38;2;147;153;178m`\u001b[38;2;205;214;244msystemd\u001b[38;2;147;153;178m`\u001b[38;2;205;214;244m.\r\n\u001b[39m \u001b[2m17 \u001b[32;22m+\r\n\u001b[39m \u001b[2m18 \u001b[32;22m+\u001b[38;2;147;153;178m##\u001b[38;2;250;179;135m \u001b[38;2;148;226;213mSudoers\r\n\u001b[39m \u001b[2m19 \u001b[32;22m+\r\n\u001b[39m \u001b[2m20 \u001b[32;22m+\u001b[38;2;205;214;244mВ \u001b[38;2;147;153;178m`\u001b[38;2;205;214;244m/etc/sudoers\u001b[38;2;147;153;178m`\u001b[38;2;205;214;244m задаётся alias для команд, которые Capistrano может выполнять без пароля:\r\n\u001b[39m \u001b[2m21 \u001b[32;22m+\r\n\u001b[39m \u001b[2m22 \u001b[32;22m+\u001b[38;2;147;153;178m```\u001b[38;2;205;214;244msudoers\r\n\u001b[39m \u001b[2m23 \u001b[32;22m+\u001b[38;2;205;214;244mCmnd_Alias PUMA_CONTROL = /usr/bin/mv /tmp/navigation_backend_puma_production.service /etc/systemd/sy\r\n\u001b[39m \u001b[2m \u001b[38;2;205;214;244;22mstem/, /usr/bin/mv /tmp/navigation_backend_puma_production.socket /etc/systemd/system/, /bin/systemct\r\n\u001b[39m \u001b[2m \u001b[38;2;205;214;244;22ml daemon-reload, /bin/systemctl enable navigation_backend_puma_production, /bin/systemctl start navig\r\n\u001b[39m \u001b[2m \u001b[38;2;205;214;244;22mation_backend_puma_production, /bin/systemctl stop navigation_backend_puma_production, /bin/systemctl\r\n\u001b[39m \u001b[2m \u001b[38;2;205;214;244;22m restart navigation_backend_puma_production, /bin/systemctl enable navigation_backend_puma_production\r\n\u001b[39m \u001b[2m \u001b[38;2;205;214;244;22m.socket, /bin/systemctl restart navigation_backend_sidekiq_production.service, /bin/systemctl restart\r\n\u001b[39m \u001b[2m \u001b[38;2;205;214;244;22m navigation_backend_solid_queue_production.service, /bin/systemctl restart solid_queue\r\n\u001b[39m \u001b[2m24 \u001b[32;22m+\u001b[38;2;205;214;244mdeploy ALL = NOPASSWD: PUMA_CONTROL\r\n\u001b[39m \u001b[2m25 \u001b[32;22m+\u001b[38;2;147;153;178m```\r\n\u001b[39m \u001b[2m26 \u001b[32;22m+\r\n\u001b[39m \u001b[2m27 \u001b[32;22m+\u001b[38;2;205;214;244mГде:\r\n\u001b[39m \u001b[2m28 \u001b[32;22m+\u001b[38;2;147;153;178m-\u001b[38;2;205;214;244m \u001b[38;2;147;153;178m`\u001b[38;2;205;214;244mdeploy\u001b[38;2;147;153;178m`\u001b[38;2;205;214;244m — пользователь, от имени которого выполняется деплой;\r\n\u001b[39m \u001b[2m29 \u001b[32;22m+\u001b[38;2;147;153;178m-\u001b[38;2;205;214;244m \u001b[38;2;147;153;178m`\u001b[38;2;205;214;244mnavigation_backend\u001b[38;2;147;153;178m`\u001b[38;2;205;214;244m — имя приложения в service/socket unit-файлах.\r\n\u001b[39m \u001b[2m30 \u001b[32;22m+\r\n\u001b[39m \u001b[2m31 \u001b[32;22m+\u001b[38;2;147;153;178m##\u001b[38;2;250;179;135m \u001b[38;2;148;226;213mКоманды деплоя\r\n\u001b[39m \u001b[2m32 \u001b[32;22m+\r\n\u001b[39m \u001b[2m33 \u001b[32;22m+\u001b[38;2;147;153;178m```\u001b[38;2;205;214;244mbash\r\n\u001b[39m \u001b[2m34 \u001b[32;22m+\u001b[38;2;137;180;250mcap\u001b[38;2;205;214;244m production puma:install\r\n\u001b[39m \u001b[2m35 \u001b[32;22m+\u001b[38;2;137;180;250mcap\u001b[38;2;205;214;244m production deploy\r\n\u001b[39m \u001b[2m36 \u001b[32;22m+\u001b[38;2;147;153;178m```\r\n\u001b[39m \u001b[2m37 \u001b[32;22m+\r\n\u001b[39m \u001b[2m38 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(\u001b[32m+3\u001b[0m \u001b[31m-2\u001b[0m)\r\n \u001b[2m 1 \u001b[0m \u001b[38;2;147;153;178m---\r\n\u001b[39;48;5;52m \u001b[2m 2 \u001b[31;22m-\u001b[38;2;205;214;244;2mstatus: stable\u001b[87X\r\n\u001b[39;48;5;22;22m \u001b[2m 2 \u001b[32;22m+\u001b[38;2;205;214;244mstatus: processing\u001b[83X\r\n\u001b[0m \u001b[2m 3 \u001b[0m \u001b[38;2;205;214;244mtype: moc\u001b[92X\r\n\u001b[0m \u001b[2m ⋮\r\n\u001b[0m \u001b[2m 7 \u001b[0m \u001b[38;2;205;214;244mcreated: 2025-12-17\r\n\u001b[39;48;5;52m \u001b[2m 8 \u001b[31;22m-\u001b[38;2;205;214;244;2mupdated: 2026-05-07\u001b[82X\r\n\u001b[39;48;5;22;22m \u001b[2m 8 \u001b[32;22m+\u001b[38;2;205;214;244mupdated: 2026-05-29\u001b[82X\r\n\u001b[0m \u001b[2m 9 \u001b[0m \u001b[38;2;205;214;244mtitle: Ruby On Rails\u001b[81X\r\n\u001b[0m \u001b[2m ⋮\r\n\u001b[0m \u001b[2m16 \u001b[0m \u001b[38;2;147;153;178m-\u001b[38;2;205;214;244m [[API импорт в Rails через runner]]\r\n\u001b[39;48;5;22m \u001b[2m17 \u001b[32;22m+\u001b[38;2;147;153;178m-\u001b[38;2;205;214;244m [[Capistrano deploy через systemd]]\u001b[64X\r\n\u001b[0m \u001b[2m18 \u001b[0m \u001b[38;2;147;153;178m-\u001b[38;2;205;214;244m [[Rails credentials edit не открывает редактор]]\u001b[51X\r\n\r\n\u001b[39;2m─────────────────────────────────────────────────────────────────────────────────────────────────────────────\r\n\r\n• \u001b[0mЧерновые правки внесены. Дальше проверю YAML/ссылки на уровне файлов, перемещу источники в архив и обновлю\r\n \u001b[36mINDEX.md\u001b[0m по правилам vault.\r\n\r\n\u001b[32;1m•\u001b[0m \u001b[1mRan\u001b[0m \u001b[38;2;137;180;250mrtk\u001b[38;2;205;214;244m grep\u001b[38;2;147;153;178m -\u001b[38;2;235;160;172mn\u001b[38;2;205;214;244m \u001b[38;2;166;227;161m\"title:|source:|status:\"\u001b[38;2;205;214;244m \u001b[38;2;166;227;161m'90 Library/Programming/Ruby On Rails/Capistrano deploy через\r\n\u001b[39;2m │ \u001b[38;2;166;227;161;22msystemd.md'\u001b[38;2;205;214;244m \u001b[38;2;166;227;161m'90 Library/Math/Теория нечетких множеств/Нечеткие отношения.md'\u001b[38;2;205;214;244m \u001b[38;2;166;227;161m'90 Library/Math/Теория\r\n\u001b[39;2m │ \u001b[38;2;166;227;161;22mнечетких множеств/Нечеткий вывод.md'\u001b[38;2;205;214;244m \u001b[38;2;166;227;161m'90 Library/Math/Метод анализа иерархий.md'\r\n\u001b[39;2m └ 12 matches in 4F:\r\n\r\n … +18 lines (ctrl + t to view transcript)\r\n\u001b[32;22m•\u001b[0m \u001b[1mRan\u001b[0m \u001b[38;2;137;180;250mrtk\u001b[38;2;205;214;244m git diff\u001b[38;2;148;226;213m --\u001b[38;2;205;214;244m \u001b[38;2;166;227;161m'90 Library/Programming/Ruby On Rails/Ruby On Rails.md'\u001b[38;2;205;214;244m \u001b[38;2;166;227;161m'90 Library/Math/Теория\r\n\u001b[39;2m │ \u001b[38;2;166;227;161;22mнечетких множеств/Теория нечетких множеств.md'\u001b[38;2;205;214;244m \u001b[38;2;166;227;161m'90 Library/Math/Теория нечетких множеств/Функция\r\n\u001b[39;2m │ \u001b[38;2;166;227;161;22mпринадлежности.md'\r\n\u001b[39;2m └ .../Теория нечетких множеств.md | 6 ++++--\r\n\u001b[0m \u001b[2m .../Теория нечетких множеств/Функция принадлежности.md | 17 ++++++++++++++---\r\n … +82 lines (ctrl + t to view transcript)\r\n\r\n\u001b[0m \u001b[2m +3 -2\r\n\r\n\u001b[32;22m•\u001b[0m \u001b[1mRan\u001b[0m \u001b[38;2;137;180;250mrtk\u001b[38;2;205;214;244m git status\u001b[38;2;147;153;178m --\u001b[38;2;235;160;172mshort\r\n\u001b[39;2m └ M .obsidian/workspace.json\r\n\u001b[0m \u001b[2m M \"90 Library/Math/Теория нечетких множеств/Логические операции над нечеткими множествами.md\"\r\n … +6 lines (ctrl + t to view transcript)\r\n\u001b[0m \u001b[2m?? \"90 Library/Math/Теория нечетких множеств/Нечеткий вывод.md\"\r\n\u001b[0m \u001b[2m?? \"90 Library/Programming/Ruby On Rails/Capistrano deploy через systemd.md\"\r\n\r\n\u001b[31;22m•\u001b[0m \u001b[1mRan\u001b[0m \u001b[38;2;137;180;250mrtk\u001b[38;2;205;214;244m grep\u001b[38;2;147;153;178m -\u001b[38;2;235;160;172mn\u001b[38;2;205;214;244m \u001b[38;2;166;227;161m\"generated:|Vault Index|frontmatter|INDEX.md\"\u001b[38;2;147;153;178m -\u001b[38;2;235;160;172mg\u001b[38;2;205;214;244m \u001b[38;2;166;227;161m'*.rb'\u001b[38;2;147;153;178m -\u001b[38;2;235;160;172mg\u001b[38;2;205;214;244m \u001b[38;2;166;227;161m'*.py'\u001b[38;2;147;153;178m -\u001b[38;2;235;160;172mg\u001b[38;2;205;214;244m \u001b[38;2;166;227;161m'*.sh'\u001b[38;2;147;153;178m -\u001b[38;2;235;160;172mg\u001b[38;2;205;214;244m \u001b[38;2;166;227;161m'Makefile'\r\n\u001b[39;2m │ \u001b[38;2;147;153;178;22m-\u001b[38;2;235;160;172mg\u001b[38;2;205;214;244m \u001b[38;2;166;227;161m'justfile'\u001b[38;2;147;153;178m -\u001b[38;2;235;160;172mg\u001b[38;2;205;214;244m \u001b[38;2;166;227;161m'package.json'\u001b[38;2;205;214;244m .\r\n\r\n\u001b[39;2m•\u001b[0m \u001b[1mExplored\r\n\u001b[22;2m └ \u001b[36;22mRead\u001b[0m CLAUDE.md\u001b[2m, \u001b[0mCODEX.md\r\n\r\n\u001b[31;1m•\u001b[0m \u001b[1mRan\u001b[0m \u001b[38;2;137;180;250mrtk\u001b[38;2;205;214;244m find .\u001b[38;2;147;153;178m -\u001b[38;2;235;160;172mpath\u001b[38;2;205;214;244m \u001b[38;2;166;227;161m'./.git'\u001b[38;2;147;153;178m -\u001b[38;2;235;160;172mprune\u001b[38;2;147;153;178m -\u001b[38;2;235;160;172mo\u001b[38;2;147;153;178m -\u001b[38;2;235;160;172mpath\u001b[38;2;205;214;244m \u001b[38;2;166;227;161m'./.obsidian'\u001b[38;2;147;153;178m -\u001b[38;2;235;160;172mprune\u001b[38;2;147;153;178m -\u001b[38;2;235;160;172mo\u001b[38;2;147;153;178m -\u001b[38;2;235;160;172mpath\u001b[38;2;205;214;244m \u001b[38;2;166;227;161m'./.trash'\u001b[38;2;147;153;178m -\u001b[38;2;235;160;172mprune\u001b[38;2;147;153;178m -\u001b[38;2;235;160;172mo\u001b[38;2;147;153;178m -\u001b[38;2;235;160;172mtype\u001b[38;2;205;214;244m f\r\n\u001b[39;2m │ \u001b[38;2;245;194;231;22m\\(\u001b[38;2;147;153;178m -\u001b[38;2;235;160;172mname\u001b[38;2;205;214;244m \u001b[38;2;166;227;161m'*.py'\u001b[38;2;147;153;178m -\u001b[38;2;235;160;172mo\u001b[38;2;147;153;178m -\u001b[38;2;235;160;172mname\u001b[38;2;205;214;244m \u001b[38;2;166;227;161m'*.rb'\u001b[38;2;147;153;178m -\u001b[38;2;235;160;172mo\u001b[38;2;147;153;178m -\u001b[38;2;235;160;172mname\u001b[38;2;205;214;244m \u001b[38;2;166;227;161m'*.sh'\u001b[38;2;147;153;178m -\u001b[38;2;235;160;172mo\u001b[38;2;147;153;178m -\u001b[38;2;235;160;172mname\u001b[38;2;205;214;244m \u001b[38;2;166;227;161m'Makefile'\u001b[38;2;147;153;178m -\u001b[38;2;235;160;172mo\u001b[38;2;147;153;178m -\u001b[38;2;235;160;172mname\u001b[38;2;205;214;244m \u001b[38;2;166;227;161m'justfile'\u001b[38;2;147;153;178m -\u001b[38;2;235;160;172mo\u001b[38;2;147;153;178m -\u001b[38;2;235;160;172mname\r\n\u001b[39;2m │ \u001b[38;2;166;227;161;22m'package.json'\u001b[38;2;205;214;244m \u001b[38;2;245;194;231m\\)\u001b[38;2;147;153;178m -\u001b[38;2;235;160;172mprint\r\n\u001b[39;2m └ rtk: rtk find does not support compound predicates or actions (e.g. -not, -exec). Use `find` directly.\r\n\r\n\u001b[32;22m•\u001b[0m \u001b[1mRan\u001b[0m \u001b[38;2;137;180;250mrtk\u001b[38;2;205;214;244m git diff\u001b[38;2;148;226;213m --\u001b[38;2;205;214;244m \u001b[38;2;166;227;161m'90 Library/Math/Теория нечетких множеств/Логические операции над нечеткими\r\n\u001b[39;2m │ \u001b[38;2;166;227;161;22mмножествами.md'\u001b[38;2;205;214;244m \u001b[38;2;166;227;161m'90 Library/Math/Теория нечетких множеств/Определение нечеткого множества.md'\r\n\u001b[39;2m └ ...огические операции над нечеткими множествами.md | 61 ++++++++++++++++++++--\r\n\u001b[0m \u001b[2m .../Определение нечеткого множества.md | 10 +++-\r\n … +106 lines (ctrl + t to view transcript)\r\n\u001b[0m \u001b[2m 2) $U=\\{a,b,c,d,e\\};\\ A=\\{\\{a,0\\}, \\{b,0.1\\},\\{c,0.5\\},\\{d,0.9\\},\\{e,1\\}\\};$\r\n\u001b[0m \u001b[2m +8 -2\r\n\r\n\u001b[32;22m•\u001b[0m \u001b[1mRan\u001b[0m \u001b[38;2;137;180;250m/usr/bin/find\u001b[38;2;205;214;244m .\u001b[38;2;147;153;178m -\u001b[38;2;235;160;172mpath\u001b[38;2;205;214;244m \u001b[38;2;166;227;161m'./.git'\u001b[38;2;147;153;178m -\u001b[38;2;235;160;172mprune\u001b[38;2;147;153;178m -\u001b[38;2;235;160;172mo\u001b[38;2;147;153;178m -\u001b[38;2;235;160;172mpath\u001b[38;2;205;214;244m \u001b[38;2;166;227;161m'./.obsidian'\u001b[38;2;147;153;178m -\u001b[38;2;235;160;172mprune\u001b[38;2;147;153;178m -\u001b[38;2;235;160;172mo\u001b[38;2;147;153;178m -\u001b[38;2;235;160;172mpath\u001b[38;2;205;214;244m \u001b[38;2;166;227;161m'./.trash'\u001b[38;2;147;153;178m -\u001b[38;2;235;160;172mprune\u001b[38;2;147;153;178m -\u001b[38;2;235;160;172mo\u001b[38;2;147;153;178m -\u001b[38;2;235;160;172mtype\r\n\u001b[39;2m │ \u001b[38;2;205;214;244;22mf \u001b[38;2;245;194;231m\\(\u001b[38;2;147;153;178m -\u001b[38;2;235;160;172mname\u001b[38;2;205;214;244m \u001b[38;2;166;227;161m'*.py'\u001b[38;2;147;153;178m -\u001b[38;2;235;160;172mo\u001b[38;2;147;153;178m -\u001b[38;2;235;160;172mname\u001b[38;2;205;214;244m \u001b[38;2;166;227;161m'*.rb'\u001b[38;2;147;153;178m -\u001b[38;2;235;160;172mo\u001b[38;2;147;153;178m -\u001b[38;2;235;160;172mname\u001b[38;2;205;214;244m \u001b[38;2;166;227;161m'*.sh'\u001b[38;2;147;153;178m -\u001b[38;2;235;160;172mo\u001b[38;2;147;153;178m -\u001b[38;2;235;160;172mname\u001b[38;2;205;214;244m \u001b[38;2;166;227;161m'Makefile'\u001b[38;2;147;153;178m -\u001b[38;2;235;160;172mo\u001b[38;2;147;153;178m -\u001b[38;2;235;160;172mname\u001b[38;2;205;214;244m \u001b[38;2;166;227;161m'justfile'\u001b[38;2;147;153;178m -\u001b[38;2;235;160;172mo\u001b[38;2;147;153;178m -\u001b[38;2;235;160;172mname\r\n\u001b[39;2m │ \u001b[38;2;166;227;161;22m'package.json'\u001b[38;2;205;214;244m \u001b[38;2;245;194;231m\\)\u001b[38;2;147;153;178m -\u001b[38;2;235;160;172mprint\r\n\u001b[39;2m └ (no output)\r\n\r\n•\u001b[0m \u001b[1mExplored\r\n\u001b[22;2m └ \u001b[36;22mRead\u001b[0m Метод анализа иерархий.md\r\n\r\n\u001b[32;1m•\u001b[0m \u001b[1mRan\u001b[0m \u001b[38;2;137;180;250mrtk\u001b[38;2;205;214;244m ls\u001b[38;2;147;153;178m -\u001b[38;2;235;160;172mla\u001b[38;2;205;214;244m \u001b[38;2;166;227;161m'00 Inbox'\r\n\u001b[39;2m └ Команды для деплоя с помощью Capistrano.md 1.0K\r\n\u001b[0m \u001b[2mМИАД_Л1.pdf 1.4M\r\n\u001b[0m \u001b[2mМИАД_Л2.pdf 1.2M\r\n\u001b[0m \u001b[2mМИАД_Л3_нечеткий_вывод.pdf 1.6M\r\n\u001b[0m \u001b[2mМИАД_Л4_иерархии.pdf 1.8M\r\n\r\n\u001b[32;22m•\u001b[0m \u001b[1mRan\u001b[0m \u001b[38;2;137;180;250mrtk\u001b[38;2;205;214;244m ls\u001b[38;2;147;153;178m -\u001b[38;2;235;160;172mla\u001b[38;2;205;214;244m \u001b[38;2;166;227;161m'99 System/Archive'\r\n\u001b[39;2m └ Финансы/\r\n\u001b[0m \u001b[2m099dd81b-27a1-46e5-88fe-20276b442b78.pdf 2.3M\r\n … +74 lines (ctrl + t to view transcript)\r\n\u001b[0m \u001b[2mФункционирование сети Хопфилда.md 2.4K\r\n\u001b[0m \u001b[2mШаблонизатор Helm.md 2.9K\r\n\r\n\u001b[32;22m•\u001b[0m \u001b[1mRan\u001b[0m \u001b[38;2;137;180;250mrtk\u001b[38;2;205;214;244m read \u001b[38;2;166;227;161m'90 Library/Math/Метод анализа иерархий.md'\u001b[38;2;147;153;178m --\u001b[38;2;235;160;172mtail-lines\u001b[38;2;205;214;244m 40\r\n\u001b[39;2m └\r\n\u001b[0m \u001b[2m1. Описать проблему и цель.\r\n … +37 lines (ctrl + t to view transcript)\r\n\u001b[0m \u001b[2m## Связанные заметки\r\n\u001b[0m \u001b[2m- [[Функция принадлежности]]\r\n\r\n\u001b[32;22m•\u001b[0m \u001b[1mRan\u001b[0m \u001b[38;2;137;180;250mmv\u001b[38;2;205;214;244m \u001b[38;2;166;227;161m'00 Inbox/Команды для деплоя с помощью Capistrano.md'\u001b[38;2;205;214;244m \u001b[38;2;166;227;161m'00 Inbox/МИАД_Л1.pdf'\u001b[38;2;205;214;244m \u001b[38;2;166;227;161m'00 Inbox/МИАД_Л2.pdf'\r\n\u001b[39;2m │ \u001b[38;2;166;227;161;22m'00 Inbox/МИАД_Л3_нечеткий_вывод.pdf'\u001b[38;2;205;214;244m \u001b[38;2;166;227;161m'00 Inbox/МИАД_Л4_иерархии.pdf'\u001b[38;2;205;214;244m \u001b[38;2;166;227;161m'99 System/Archive/'\r\n\u001b[39;2m └ | `90 Library/Sport/L-карнитин.md` | L-карнитин | seed | concept | gym, БАД, sport, supplements |\r\n\u001b[0m \u001b[2m| `90 Library/Sport/Креатин.md` | Креатин | seed | concept | gym, БАД, sport |\r\n … +76 lines (ctrl + t to view transcript)\r\n\r\n\u001b[0m \u001b[2m| `GEMINI.md` | GEMINI | — | — | — |\r\n\r\n\u001b[32;22m•\u001b[0m \u001b[1mRan\u001b[0m \u001b[38;2;137;180;250m/usr/bin/find\u001b[38;2;205;214;244m .\u001b[38;2;147;153;178m -\u001b[38;2;235;160;172mmaxdepth\u001b[38;2;205;214;244m 1\u001b[38;2;147;153;178m -\u001b[38;2;235;160;172mtype\u001b[38;2;205;214;244m f\u001b[38;2;147;153;178m -\u001b[38;2;235;160;172mname\u001b[38;2;205;214;244m \u001b[38;2;166;227;161m'*.md'\u001b[38;2;147;153;178m -\u001b[38;2;235;160;172mprint\r\n\u001b[39;2m └ ./CODEX.md\r\n\u001b[0m \u001b[2m./CLAUDE.md\r\n\u001b[0m \u001b[2m./GEMINI.md\r\n\u001b[0m \u001b[2m./AGENTS.md\r\n\u001b[0m \u001b[2m./INDEX.md\r\n\r\n\u001b[32;22m•\u001b[0m \u001b[1mRan\u001b[0m \u001b[38;2;137;180;250mrtk\u001b[38;2;205;214;244m ls\u001b[38;2;147;153;178m -\u001b[38;2;235;160;172mla\u001b[38;2;205;214;244m \u001b[38;2;166;227;161m'00 Inbox'\r\n\u001b[39;2m └ (empty)\r\n\r\n\u001b[32;22m•\u001b[0m \u001b[1mRan\u001b[0m \u001b[38;2;137;180;250mpython\u001b[38;2;205;214;244m - \u001b[38;2;148;226;213m<<\u001b[38;2;166;227;161m'\u001b[38;2;203;166;247mPY\u001b[38;2;166;227;161m'\r\n\u001b[39;2m │ \u001b[38;2;166;227;161;22mfrom pathlib import Path\r\n\u001b[39;2m │ \u001b[38;2;166;227;161;22mfrom collections import defaultdict, Counter\r\n\u001b[39;2m │ … +108 lines\r\n └ (no output)\r\n\r\n•\u001b[0m \u001b[1mExplored\r\n\u001b[22;2m └ \u001b[36;22mRead\u001b[0m INDEX.md\r\n\r\n\u001b[32;1m•\u001b[0m \u001b[1mRan\u001b[0m \u001b[38;2;137;180;250mrtk\u001b[38;2;205;214;244m grep\u001b[38;2;147;153;178m -\u001b[38;2;235;160;172mn\u001b[38;2;205;214;244m \u001b[38;2;166;227;161m\"Capistrano deploy|Нечеткие отношения|Нечеткий вывод|Метод анализа иерархий|Команды для\r\n\u001b[39;2m │ \u001b[38;2;166;227;161;22mдеплоя|МИАД_Л\"\u001b[38;2;205;214;244m INDEX.md\r\n\u001b[39;2m └ 5 matches in 1F:\r\n\r\n … +5 lines (ctrl + t to view transcript)\r\n\u001b[0m \u001b[2m 463: | `99 System/Archive/Команды для деплоя с помощью Capistrano.md` | — | seed |...\r\n\r\n\r\n\u001b[32;22m•\u001b[0m \u001b[1mRan\u001b[0m \u001b[38;2;137;180;250mrtk\u001b[38;2;205;214;244m ls\u001b[38;2;147;153;178m -\u001b[38;2;235;160;172mla\u001b[38;2;205;214;244m \u001b[38;2;166;227;161m'99 System/Archive'\u001b[38;2;205;214;244m \u001b[38;2;148;226;213m|\u001b[38;2;205;214;244m \u001b[38;2;137;180;250mgrep\u001b[38;2;147;153;178m -\u001b[38;2;235;160;172mE\u001b[38;2;205;214;244m \u001b[38;2;166;227;161m'Команды для деплоя|МИАД_Л[1-4]'\r\n\u001b[39;2m └ Команды для деплоя с помощью Capistrano.md 1.0K\r\n\u001b[0m \u001b[2mМИАД_Л1.pdf 1.4M\r\n\u001b[0m \u001b[2mМИАД_Л2.pdf 1.2M\r\n\u001b[0m \u001b[2mМИАД_Л3_нечеткий_вывод.pdf 1.6M\r\n\u001b[0m \u001b[2mМИАД_Л4_иерархии.pdf 1.8M\r\n\r\n\u001b[32;22m•\u001b[0m \u001b[1mRan\u001b[0m \u001b[38;2;137;180;250mrtk\u001b[38;2;205;214;244m ls\u001b[38;2;147;153;178m -\u001b[38;2;235;160;172mla\u001b[38;2;205;214;244m \u001b[38;2;166;227;161m'00 Inbox'\r\n\u001b[39;2m └ (empty)\r\n\r\n\u001b[32;22m•\u001b[0m \u001b[1mRan\u001b[0m \u001b[38;2;137;180;250mrtk\u001b[38;2;205;214;244m git diff\u001b[38;2;147;153;178m --\u001b[38;2;235;160;172mstat\r\n\u001b[39;2m └ .obsidian/workspace.json | 21 +++----\r\n\u001b[0m \u001b[2m .../Команды для деплоя с помощью Capistrano.md | 18 ------\r\n … +9 lines (ctrl + t to view transcript)\r\n\u001b[0m \u001b[2m INDEX.md | 41 ++++++++------\r\n\u001b[0m \u001b[2m 12 files changed, 121 insertions(+), 58 deletions(-)\r\n\r\n\u001b[32;22m•\u001b[0m \u001b[1mRan\u001b[0m \u001b[38;2;137;180;250mrtk\u001b[38;2;205;214;244m grep\u001b[38;2;147;153;178m -\u001b[38;2;235;160;172mn\u001b[38;2;205;214;244m \u001b[38;2;166;227;161m\"### 90 Library|### 99 System|Метод анализа|Нечеткие отношения|Нечеткий вывод|Capistrano|\r\n\u001b[39;2m │ \u001b[38;2;166;227;161;22mКоманды для деплоя\"\u001b[38;2;205;214;244m INDEX.md\r\n\u001b[0m \u001b[2m 463: | `99 System/Archive/Команды для деплоя с помощью Capistrano.md` | — | seed |...\r\n\r\n\r\n\u001b[32;22m•\u001b[0m \u001b[1mRan\u001b[0m \u001b[38;2;137;180;250mrtk\u001b[38;2;205;214;244m git diff\u001b[38;2;148;226;213m --\u001b[38;2;205;214;244m INDEX.md \u001b[38;2;148;226;213m|\u001b[38;2;205;214;244m \u001b[38;2;137;180;250msed\u001b[38;2;147;153;178m -\u001b[38;2;235;160;172mn\u001b[38;2;205;214;244m \u001b[38;2;166;227;161m'1,220p'\r\n\u001b[39;2m └ INDEX.md | 41 +++++++++++++++++++++++------------------\r\n\u001b[0m \u001b[2m 1 file changed, 23 insertions(+), 18 deletions(-)\r\n … +102 lines (ctrl + t to view transcript)\r\n\u001b[0m \u001b[2m | `99 System/Archive/УИР.md` | УИР | seed | concept | — |\r\n\u001b[0m \u001b[2m +23 -18\r\n\r\n\u001b[32;22m•\u001b[0m \u001b[1mRan\u001b[0m \u001b[38;2;137;180;250mrtk\u001b[38;2;205;214;244m git status\u001b[38;2;147;153;178m --\u001b[38;2;235;160;172mshort\r\n\u001b[39;2m └ M .obsidian/workspace.json\r\n\u001b[0m \u001b[2m D \"00 Inbox/Команды для деплоя с помощью Capistrano.md\"\r\n … +17 lines (ctrl + t to view transcript)\r\n\u001b[0m \u001b[2m?? \"99 System/Archive/МИАД_Л3_нечеткий_вывод.pdf\"\r\n\u001b[0m \u001b[2m?? \"99 System/Archive/МИАД_Л4_иерархии.pdf\"\r\n\r\n─────────────────────────────────────────────────────────────────────────────────────────────────────────────\r\n\r\n• \u001b[0mИндекс обновлён: \u001b[36m00 Inbox/\u001b[0m пустой, источники лежат в \u001b[36m99 System/Archive/\u001b[0m, новые заметки попали в \u001b[36mINDEX.md\u001b[0m.\r\n Сейчас сделаю финальную проверку изменённых файлов и ссылок.\r\n\r\n\u001b[2m•\u001b[0m \u001b[1mExplored\r\n\u001b[22;2m └ \u001b[36;22mRead\u001b[0m Capistrano deploy через systemd.md\u001b[2m, \u001b[0mНечеткий вывод.md\r\n\r\n\u001b[32;1m•\u001b[0m \u001b[1mRan\u001b[0m \u001b[38;2;137;180;250mrtk\u001b[38;2;205;214;244m git diff\u001b[38;2;147;153;178m --\u001b[38;2;235;160;172mname-only\r\n\u001b[39;2m └ .obsidian/workspace.json\r\n\u001b[0m \u001b[2m00 Inbox/Команды для деплоя с помощью Capistrano.md\r\n … +11 lines (ctrl + t to view transcript)\r\n\u001b[0m \u001b[2m--- Changes ---\r\n\r\n\r\n\u001b[32;22m•\u001b[0m \u001b[1mRan\u001b[0m \u001b[38;2;137;180;250mrtk\u001b[38;2;205;214;244m grep\u001b[38;2;147;153;178m -\u001b[38;2;235;160;172mn\u001b[38;2;205;214;244m \u001b[38;2;166;227;161m\"\\[\\[(Capistrano deploy через systemd|Нечеткие отношения|Нечеткий вывод|Метод анализа\r\n\u001b[39;2m │ \u001b[38;2;166;227;161;22mиерархий|Ruby On Rails|Теория нечетких множеств|Функция принадлежности)\"\u001b[38;2;205;214;244m \u001b[38;2;166;227;161m'90 Library'\u001b[38;2;205;214;244m INDEX.md\r\n\u001b[39;2m └ 22 matches in 13F:\r\n\r\n … +46 lines (ctrl + t to view transcript)\r\n\u001b[0m \u001b[2m 17: - [[Capistrano deploy через systemd]]\r\n\r\n\r\n\u001b[32;22m•\u001b[0m \u001b[1mRan\u001b[0m \u001b[38;2;137;180;250mpython\u001b[38;2;205;214;244m - \u001b[38;2;148;226;213m<<\u001b[38;2;166;227;161m'\u001b[38;2;203;166;247mPY\u001b[38;2;166;227;161m'\r\n\u001b[39;2m │ \u001b[38;2;166;227;161;22mfrom pathlib import Path\r\n\u001b[39;2m │ \u001b[38;2;166;227;161;22merrors=[]\r\n\u001b[39;2m │ … +19 lines\r\n └ frontmatter ok\r\n\r\n\u001b[32;22m•\u001b[0m \u001b[1mRan\u001b[0m \u001b[38;2;137;180;250mrtk\u001b[38;2;205;214;244m grep\u001b[38;2;147;153;178m -\u001b[38;2;235;160;172mn\u001b[38;2;205;214;244m \u001b[38;2;166;227;161m\"total: 461|Capistrano deploy через systemd|Нечеткие отношения|Нечеткий вывод|Метод анализа\r\n\u001b[39;2m │ \u001b[38;2;166;227;161;22mиерархий|Команды для деплоя с помощью Capistrano\"\u001b[38;2;205;214;244m INDEX.md\r\n\u001b[39;2m └ 6 matches in 2F:\r\n\r\n … +8 lines (ctrl + t to view transcript)\r\n\u001b[0m \u001b[2m 463: | `99 System/Archive/Команды для деплоя с помощью Capistrano.md` | — | seed |...\r\n\r\n\r\n\u001b[32;22m•\u001b[0m \u001b[1mRan\u001b[0m \u001b[38;2;137;180;250mrtk\u001b[38;2;205;214;244m git status\u001b[38;2;147;153;178m --\u001b[38;2;235;160;172mshort\u001b[38;2;147;153;178m --\u001b[38;2;235;160;172muntracked-files\u001b[38;2;148;226;213m=\u001b[38;2;205;214;244mall\r\n\u001b[39;2m └ M .obsidian/workspace.json\r\n\u001b[0m \u001b[2m D \"00 Inbox/Команды для деплоя с помощью Capistrano.md\"\r\n … +17 lines (ctrl + t to view transcript)\r\n\u001b[0m \u001b[2m?? \"99 System/Archive/МИАД_Л3_нечеткий_вывод.pdf\"\r\n\u001b[0m \u001b[2m?? \"99 System/Archive/МИАД_Л4_иерархии.pdf\"\r\n\r\n─────────────────────────────────────────────────────────────────────────────────────────────────────────────\r\n\r\n• \u001b[0mГотово.\r\n\r\n Созданы заметки:\r\n\r\n - \u001b[36m90 Library/Programming/Ruby On Rails/Capistrano deploy через systemd.md\r\n\u001b[0m - \u001b[36m90 Library/Math/Теория нечетких множеств/Нечеткие отношения.md\r\n\u001b[0m - \u001b[36m90 Library/Math/Теория нечетких множеств/Нечеткий вывод.md\r\n\u001b[0m - \u001b[36m90 Library/Math/Метод анализа иерархий.md\r\n\r\n\u001b[0m Дополнены существующие заметки по Л1: \u001b[36mОпределение нечеткого множества\u001b[0m, \u001b[36mФункция принадлежности\u001b[0m, \u001b[36mЛогические\r\n\u001b[0m \u001b[36mоперации над нечеткими множествами\u001b[0m. Обновлены MOC: \u001b[36mТеория нечетких множеств\u001b[0m, \u001b[36mRuby On Rails\u001b[0m.\r\n\r\n Источники перенесены из \u001b[36m00 Inbox/\u001b[0m в \u001b[36m99 System/Archive/\u001b[0m; \u001b[36m00 Inbox/\u001b[0m теперь пустой. \u001b[36mINDEX.md\u001b[0m обновлён, total:\r\n \u001b[36m461\u001b[0m.\r\n\r\n Проверка: frontmatter у изменённых заметок валиден, новые записи есть в \u001b[36mINDEX.md\u001b[0m.\r\n\r\n Не добавлял отдельными заметками: \u001b[36mШкала Саати\u001b[0m, \u001b[36mАлгоритм Мамдани\u001b[0m, \u001b[36mАлгоритм Ларсена\u001b[0m, \u001b[36mЛогика Заде\u001b[0m — пока они\r\n оставлены как разделы внутри основных заметок. В рабочем дереве также есть изменение \u001b[36m.obsidian/\r\n\u001b[0m \u001b[36mworkspace.json\u001b[0m, я его не трогал.\r\n\r\n\u001b[2m─ Worked for 5m 16s ─────────────────────────────────────────────────────────────────────────────────────────\r\n\r\n\u001b[48;5;239;22m \u001b[108X\r\n\u001b[1m›\u001b[22m \u001b[2mFind and fix a bug in @filename\r\n\u001b[0m * Restored history at Fri May 29 2026 10:01:02 GMT+0300 (Москва, стандартное время)\u001b[48;5;239m\r\n\u001b[0m\u001b[2X\u001b[2C\u001b[38;2;246;226;183mgpt-5.5 high\u001b[39;2m · \u001b[38;2;171;223;167;22m~/Documents/Vaults/SecondBrain\u001b[62X\r\n\u001b[38;5;76m❯\u001b[0m \u001b[32mcodex\r\n\u001b[0m󰖟 Proxy enabled (127.0.0.1:2080)\r\n\u001b[2m╭───────────────────────────────────────────────────────────────╮\r\n│ \u001b[36;1;22m✨ Update available!\u001b[0m \u001b[1m0.133.0 -> 0.134.0\u001b[22;2m │\r\n│ \u001b[0mSee \u001b[36;4mhttps://github.com/openai/codex\u001b[0m for installation options.\u001b[2m │\r\n│ │\r\n\r\n│ │\r\n│ model: \u001b[0mgpt-5.5 high\u001b[2m \u001b[36;22m/model\u001b[39;2m to change │\r\n│ directory: \u001b[0m~/Documents/Vaults/SecondBrain\u001b[2m │\r\n╰────────────────────────────────────────────╯\r\n\r\n\u001b[33;22m⚠ MCP client for `codex_apps` failed to start: MCP startup failed: handshaking with MCP server failed: Send\r\n\u001b[0m \u001b[33mmessage error Transport\r\n\u001b[0m \u001b[33m[rmcp::transport::worker::WorkerTransport>] error: Client error: HTTP request\r\n\u001b[0m \u001b[33mfailed: http/request failed: error sending request for url (https://chatgpt.com/backend-api/wham/apps),\r\n\u001b[0m \u001b[33mwhen send initialize request\r\n\r\n⚠ MCP startup incomplete (failed: codex_apps)\r\n\u001b[39;48;5;239m Отправь в Inbox\u001b[91X\r\n\u001b[33;49m⚠ Falling back from WebSockets to HTTPS transport. stream disconnected before completion: tls handshake eof\u001b[2X\r\n\r\n\u001b[31m■ stream disconnected before completion: error sending request for url\r\n(https://chatgpt.com/backend-api/codex/responses)\r\n\r\n\u001b[39;48;5;239m\u001b[109X\r\n\r\n\u001b[0m\u001b[109X\r\n - Шаблон: \u001b[36mBase Note.md\r\n\u001b[0m - Frontmatter: \u001b[36mstatus: seed\u001b[0m, \u001b[36mtype: knowledge\u001b[0m, \u001b[36mtags: [math, fuzzy-logic]\r\n\u001b[0m - Разделы: определение, схема нечеткого вывода, Mamdani, Sugeno, основные формулы, дефаззификация, краткое\r\n сравнение.\r\n - Перед созданием прочитаю \u001b[36mINDEX.md\u001b[0m, чтобы не продублировать близкую заметку и добавить осмысленные\r\n \u001b[36m[[wikilinks]]\u001b[0m.\r\n - После создания обновлю \u001b[36mINDEX.md\u001b[0m.\r\n\r\n Подтверди, и я создам заметку в \u001b[36m00 Inbox/\u001b[0m.План: создам одну заметку в \u001b[36m00 Inbox/\u001b[0m по теме «Краткая теория с\r\n важными формулами по нечетким выводам», с frontmatter, краткой теорией, основными формулами Mamdani/Sugeno\r\n и осмысленными wikilinks после проверки \u001b[36mINDEX.md\u001b[0m. Дубль запроса игнорирую.\r\n\r\n Подтверди, и я создам файл в Inbox.\r\n\r\n\u001b[2m• \u001b[0mПодтверди создание заметки в \u001b[36m00 Inbox/\u001b[0m.\r\n\r\n\u001b[48;5;239m\u001b[109X\r\n\u001b[1;2m› \u001b[22;22mДавай\r\n\r\n\u001b[0m\u001b[109X\r\n\u001b[2m• \u001b[0mСмотрю \u001b[36mINDEX.md\u001b[0m и шаблон \u001b[36mBase Note.md\u001b[0m, чтобы не создать дубль и сохранить формат vault.\r\n\r\n\u001b[32;1m•\u001b[0m \u001b[1mRan\u001b[0m \u001b[38;2;137;180;250mrtk\u001b[38;2;205;214;244m ls\u001b[38;2;147;153;178m -\u001b[38;2;235;160;172mla\u001b[38;2;205;214;244m \u001b[38;2;166;227;161m'00 Inbox'\r\n\u001b[39;2m └ (empty)\r\n\r\n─────────────────────────────────────────────────────────────────────────────────────────────────────────────\r\n\r\n• \u001b[0mВ видимой части индекса есть раздел \u001b[36m90 Library/Math\u001b[0m; сейчас точечно проверю совпадения по нечеткой логике и\r\n затем запишу заметку в Inbox.\r\n\r\n\u001b[32;1m•\u001b[0m \u001b[1mRan\u001b[0m \u001b[38;2;137;180;250mrtk\u001b[38;2;205;214;244m grep\u001b[38;2;147;153;178m -\u001b[38;2;235;160;172mn\u001b[38;2;205;214;244m \u001b[38;2;166;227;161m\"Неч[её]тк|Fuzzy|fuzzy|вывод|Мамдани|Sugeno|Сугено\"\u001b[38;2;205;214;244m INDEX.md\r\n\u001b[39;2m └ 9 matches in 1F:\r\n\r\n … +9 lines (ctrl + t to view transcript)\r\n\u001b[0m \u001b[2m 472: | `99 System/Archive/Обратное распространение ошибки - вывод.md` | Обратное р...\r\n\r\n\r\n\u001b[32;1;22m•\u001b[0m \u001b[1mRan\u001b[0m \u001b[38;2;137;180;250mrtk\u001b[38;2;205;214;244m grep\u001b[38;2;147;153;178m -\u001b[38;2;235;160;172mn\u001b[38;2;205;214;244m \u001b[38;2;166;227;161m\"90 Library/Math\"\u001b[38;2;205;214;244m INDEX.md\r\n\u001b[39;2m └ 74 matches in 1F:\r\n\r\n … +27 lines (ctrl + t to view transcript)\r\n\r\n\u001b[0m \u001b[2m... +49\r\n\r\n•\u001b[0m \u001b[1mExplored\r\n\u001b[22;2m └ \u001b[36;22mRead\u001b[0m Нечеткий вывод.md\u001b[2m, \u001b[0mINDEX.md\u001b[2m, \u001b[0mТеория нечетких множеств.md\r\n\r\n\u001b[2m─────────────────────────────────────────────────────────────────────────────────────────────────────────────\r\n\r\n• \u001b[0mНашёл уже существующую заметку \u001b[36m[[Нечеткий вывод]]\u001b[0m; новую сделаю как краткую шпаргалку в \u001b[36m00 Inbox/\u001b[0m, со\r\n ссылками на существующий раздел. После этого точечно обновлю \u001b[36mINDEX.md\u001b[0m.\r\n\r\n\u001b[2m• \u001b[1;22mEdited\u001b[0m 2 files (\u001b[32m+200\u001b[0m \u001b[31m-3\u001b[0m)\r\n\u001b[2m └ \u001b[0m00 Inbox/Краткая теория с важными формулами по нечетким выводам.md (\u001b[32m+193\u001b[0m \u001b[31m-0\u001b[0m)\r\n\u001b[48;5;22m \u001b[2m 1 \u001b[32;22m+\u001b[38;2;147;153;178m---\u001b[97X\r\n\u001b[39m \u001b[2m 2 \u001b[32;22m+\u001b[38;2;205;214;244mstatus: seed\r\n\u001b[39m \u001b[2m 3 \u001b[32;22m+\u001b[38;2;205;214;244mtype: concept\r\n\u001b[39m \u001b[2m 4 \u001b[32;22m+\u001b[38;2;205;214;244mtags:\r\n\u001b[39m \u001b[2m 5 \u001b[32;22m+\u001b[38;2;205;214;244m \u001b[38;2;147;153;178m-\u001b[38;2;205;214;244m math\r\n\u001b[39m \u001b[2m 6 \u001b[32;22m+\u001b[38;2;205;214;244m \u001b[38;2;147;153;178m-\u001b[38;2;205;214;244m mephi\r\n\u001b[39m \u001b[2m 7 \u001b[32;22m+\u001b[38;2;205;214;244m \u001b[38;2;147;153;178m-\u001b[38;2;205;214;244m fuzzy-sets\r\n\u001b[39m \u001b[2m 8 \u001b[32;22m+\u001b[38;2;205;214;244mcreated: 2026-05-29\r\n\u001b[39m \u001b[2m 9 \u001b[32;22m+\u001b[38;2;205;214;244mupdated: 2026-05-29\r\n\u001b[39m \u001b[2m 10 \u001b[32;22m+\u001b[38;2;205;214;244mtitle: Краткая теория с важными формулами по нечетким выводам\r\n\u001b[39m \u001b[2m 11 \u001b[32;22m+\u001b[38;2;147;153;178m---\r\n\u001b[39m \u001b[2m 12 \u001b[32;22m+\r\n\u001b[39m \u001b[2m 13 \u001b[32;22m+\u001b[38;2;147;153;178m#\u001b[38;2;243;139;168m \u001b[38;2;148;226;213mКраткая теория с важными формулами по нечетким выводам\r\n\u001b[39m \u001b[2m 14 \u001b[32;22m+\r\n\u001b[39m \u001b[2m 15 \u001b[32;22m+\u001b[38;2;205;214;244mНечеткий вывод — способ получить заключение из правил вида «если ..., то ...», когда входы, условия\r\n\u001b[39m \u001b[2m \u001b[38;2;205;214;244;22mи выводы описаны через степени принадлежности, а не через строгие булевы значения.\r\n\u001b[39m \u001b[2m 16 \u001b[32;22m+\r\n\u001b[39m \u001b[2m 17 \u001b[32;22m+\u001b[38;2;205;214;244mБазовая идея: четкие входы переводятся в степени принадлежности, правила активируются с разной силой\r\n\u001b[39m \u001b[2m \u001b[38;2;205;214;244;22m, их выводы объединяются, а при необходимости результат переводится обратно в четкое число.\r\n\u001b[39m \u001b[2m 18 \u001b[32;22m+\r\n\u001b[39m \u001b[2m 19 \u001b[32;22m+\u001b[38;2;205;214;244mСвязано: [[Нечеткий вывод]], [[Теория нечетких множеств]], [[Функция принадлежности]], [[Нечеткие от\r\n\u001b[39m \u001b[2m \u001b[38;2;205;214;244;22mношения]], [[Логические операции над нечеткими множествами]].\r\n\u001b[39m \u001b[2m 20 \u001b[32;22m+\r\n\u001b[39m \u001b[2m 21 \u001b[32;22m+\u001b[38;2;147;153;178m##\u001b[38;2;250;179;135m \u001b[38;2;148;226;213mНечеткое множество\r\n\u001b[39m \u001b[2m 22 \u001b[32;22m+\r\n\u001b[39m \u001b[2m 23 \u001b[32;22m+\u001b[38;2;205;214;244mНечеткое множество $A$ на универсуме $X$ задается функцией принадлежности:\r\n\u001b[39m \u001b[2m 24 \u001b[32;22m+\r\n\u001b[39m \u001b[2m 25 \u001b[32;22m+\u001b[38;2;205;214;244m$$\r\n\u001b[39m \u001b[2m 26 \u001b[32;22m+\u001b[38;2;205;214;244m\\mu_A: X \\to [0, 1]\r\n\u001b[39m \u001b[2m 27 \u001b[32;22m+\u001b[38;2;205;214;244m$$\r\n\u001b[39m \u001b[2m 28 \u001b[32;22m+\r\n\u001b[39m \u001b[2m 29 \u001b[32;22m+\u001b[38;2;205;214;244mгде $\\mu_A(x)$ — степень принадлежности элемента $x$ множеству $A$.\r\n\u001b[39m \u001b[2m 30 \u001b[32;22m+\r\n\u001b[39m \u001b[2m 31 \u001b[32;22m+\u001b[38;2;205;214;244mКлассическая запись:\r\n\u001b[39m \u001b[2m 32 \u001b[32;22m+\r\n\u001b[39m \u001b[2m 33 \u001b[32;22m+\u001b[38;2;205;214;244m$$\r\n\u001b[39m \u001b[2m 34 \u001b[32;22m+\u001b[38;2;205;214;244mA = \u001b[38;2;245;194;231m\\{\u001b[38;2;205;214;244m(x, \\mu_A(x)) \\mid x \\in X\u001b[38;2;245;194;231m\\}\r\n\u001b[39m \u001b[2m 35 \u001b[32;22m+\u001b[38;2;205;214;244m$$\r\n\u001b[39m \u001b[2m 36 \u001b[32;22m+\r\n\u001b[39m \u001b[2m 37 \u001b[32;22m+\u001b[38;2;147;153;178m##\u001b[38;2;250;179;135m \u001b[38;2;148;226;213mПравило нечеткого вывода\r\n\u001b[39m \u001b[2m 38 \u001b[32;22m+\r\n\u001b[39m \u001b[2m 39 \u001b[32;22m+\u001b[38;2;205;214;244mТиповое правило:\r\n\u001b[39m \u001b[2m 40 \u001b[32;22m+\r\n\u001b[39m \u001b[2m 41 \u001b[32;22m+\u001b[38;2;205;214;244m$$\r\n\u001b[39m \u001b[2m 42 \u001b[32;22m+\u001b[38;2;205;214;244mR_i: \\text{если } x_1 \\text{ есть } A_{i1} \\land \\dots \\land x_n \\text{ есть } A_{in}, \\text{ то } y\r\n\u001b[39m \u001b[2m \u001b[38;2;205;214;244;22m \\text{ есть } B_i\r\n\u001b[39m \u001b[2m 43 \u001b[32;22m+\u001b[38;2;205;214;244m$$\r\n\u001b[39m \u001b[2m 44 \u001b[32;22m+\r\n\u001b[39m \u001b[2m 45 \u001b[32;22m+\u001b[38;2;205;214;244mДля четкого входа $x^* = (x_1^\u001b[38;2;147;153;178m*\u001b[38;2;243;139;168m, \\dots, x_n^\u001b[38;2;147;153;178m*\u001b[38;2;205;214;244m)$ сначала считаются степени выполнения условий:\r\n\u001b[39m \u001b[2m 46 \u001b[32;22m+\r\n\u001b[39m \u001b[2m 47 \u001b[32;22m+\u001b[38;2;205;214;244m$$\r\n\u001b[39m \u001b[2m 48 \u001b[32;22m+\u001b[38;2;205;214;244m\\mu_{A_{ij}}(x_j^\u001b[38;2;147;153;178m*\u001b[38;2;243;139;168m)\r\n\u001b[39m \u001b[2m 49 \u001b[32;22m+\u001b[38;2;243;139;168m$$\r\n\u001b[39m \u001b[2m 50 \u001b[32;22m+\r\n\u001b[39m \u001b[2m 51 \u001b[32;22m+\u001b[38;2;205;214;244mСила активации правила:\r\n\u001b[39m \u001b[2m 52 \u001b[32;22m+\r\n\u001b[39m \u001b[2m 53 \u001b[32;22m+\u001b[38;2;205;214;244m$$\r\n\u001b[39m \u001b[2m 54 \u001b[32;22m+\u001b[38;2;205;214;244m\\alpha_i = T(\\mu_{A_{i1}}(x_1^\u001b[38;2;147;153;178m*\u001b[38;2;243;139;168m), \\dots, \\mu_{A_{in}}(x_n^\u001b[38;2;147;153;178m*\u001b[38;2;205;214;244m))\r\n\u001b[39m \u001b[2m 55 \u001b[32;22m+\u001b[38;2;205;214;244m$$\r\n\u001b[39m \u001b[2m 56 \u001b[32;22m+\r\n\u001b[39m \u001b[2m 57 \u001b[32;22m+\u001b[38;2;205;214;244mгде $T$ — t-норма. Частые варианты:\r\n\u001b[39m \u001b[2m 58 \u001b[32;22m+\r\n\u001b[39m \u001b[2m 59 \u001b[32;22m+\u001b[38;2;205;214;244m$$\r\n\u001b[39m \u001b[2m 60 \u001b[32;22m+\u001b[38;2;205;214;244mT(a, b) = \\min(a, b)\r\n\u001b[39m \u001b[2m 61 \u001b[32;22m+\u001b[38;2;205;214;244m$$\r\n\u001b[39m \u001b[2m 62 \u001b[32;22m+\r\n\u001b[39m \u001b[2m 63 \u001b[32;22m+\u001b[38;2;205;214;244m$$\r\n\u001b[39m \u001b[2m 64 \u001b[32;22m+\u001b[38;2;205;214;244mT(a, b) = a \\cdot b\r\n\u001b[39m \u001b[2m 65 \u001b[32;22m+\u001b[38;2;205;214;244m$$\r\n\u001b[39m \u001b[2m 66 \u001b[32;22m+\r\n\u001b[39m \u001b[2m 67 \u001b[32;22m+\u001b[38;2;205;214;244mДля дизъюнкции часто используют s-норму:\r\n\u001b[39m \u001b[2m 68 \u001b[32;22m+\r\n\u001b[39m \u001b[2m 69 \u001b[32;22m+\u001b[38;2;205;214;244m$$\r\n\u001b[39m \u001b[2m 70 \u001b[32;22m+\u001b[38;2;205;214;244mS(a, b) = \\max(a, b)\r\n\u001b[39m \u001b[2m 71 \u001b[32;22m+\u001b[38;2;205;214;244m$$\r\n\u001b[39m \u001b[2m 72 \u001b[32;22m+\r\n\u001b[39m \u001b[2m 73 \u001b[32;22m+\u001b[38;2;205;214;244mили\r\n\u001b[39m \u001b[2m 74 \u001b[32;22m+\r\n\u001b[39m \u001b[2m 75 \u001b[32;22m+\u001b[38;2;205;214;244m$$\r\n\u001b[39m \u001b[2m 76 \u001b[32;22m+\u001b[38;2;205;214;244mS(a, b) = a + b - ab\r\n\u001b[39m \u001b[2m 77 \u001b[32;22m+\u001b[38;2;205;214;244m$$\r\n\u001b[39m \u001b[2m 78 \u001b[32;22m+\r\n\u001b[39m \u001b[2m 79 \u001b[32;22m+\u001b[38;2;147;153;178m##\u001b[38;2;250;179;135m \u001b[38;2;148;226;213mСхема нечеткого вывода\r\n\u001b[39m \u001b[2m 80 \u001b[32;22m+\r\n\u001b[39m \u001b[2m 81 \u001b[32;22m+\u001b[38;2;205;214;244m1\u001b[38;2;147;153;178m.\u001b[38;2;205;214;244m Фаззификация — вычислить степени принадлежности входов термам.\r\n\u001b[39m \u001b[2m 82 \u001b[32;22m+\u001b[38;2;205;214;244m2\u001b[38;2;147;153;178m.\u001b[38;2;205;214;244m Агрегация условий — получить силу активации каждого правила $\\alpha_i$.\r\n\u001b[39m \u001b[2m 83 \u001b[32;22m+\u001b[38;2;205;214;244m3\u001b[38;2;147;153;178m.\u001b[38;2;205;214;244m Импликация — применить $\\alpha_i$ к заключению правила.\r\n\u001b[39m \u001b[2m 84 \u001b[32;22m+\u001b[38;2;205;214;244m4\u001b[38;2;147;153;178m.\u001b[38;2;205;214;244m Аккумуляция — объединить результаты всех правил.\r\n\u001b[39m \u001b[2m 85 \u001b[32;22m+\u001b[38;2;205;214;244m5\u001b[38;2;147;153;178m.\u001b[38;2;205;214;244m Дефаззификация — получить четкое значение, если оно нужно.\r\n\u001b[39m \u001b[2m 86 \u001b[32;22m+\r\n\u001b[39m \u001b[2m 87 \u001b[32;22m+\u001b[38;2;147;153;178m##\u001b[38;2;250;179;135m \u001b[38;2;148;226;213mМамдани\r\n\u001b[39m \u001b[2m 88 \u001b[32;22m+\r\n\u001b[39m \u001b[2m 89 \u001b[32;22m+\u001b[38;2;205;214;244mВ выводе Мамдани заключение правила остается нечетким множеством.\r\n\u001b[39m \u001b[2m 90 \u001b[32;22m+\r\n\u001b[39m \u001b[2m 91 \u001b[32;22m+\u001b[38;2;205;214;244mИмпликация через минимум:\r\n\u001b[39m \u001b[2m 92 \u001b[32;22m+\r\n\u001b[39m \u001b[2m 93 \u001b[32;22m+\u001b[38;2;205;214;244m$$\r\n\u001b[39m \u001b[2m 94 \u001b[32;22m+\u001b[38;2;205;214;244m\\mu_{B_i'}(y) = \\min(\\alpha_i, \\mu_{B_i}(y))\r\n\u001b[39m \u001b[2m 95 \u001b[32;22m+\u001b[38;2;205;214;244m$$\r\n\u001b[39m \u001b[2m 96 \u001b[32;22m+\r\n\u001b[39m \u001b[2m 97 \u001b[32;22m+\u001b[38;2;205;214;244mОбъединение правил через максимум:\r\n\u001b[39m \u001b[2m 98 \u001b[32;22m+\r\n\u001b[39m \u001b[2m 99 \u001b[32;22m+\u001b[38;2;205;214;244m$$\r\n\u001b[39m \u001b[2m100 \u001b[32;22m+\u001b[38;2;205;214;244m\\mu_B(y) = \\max_i \\mu_{B_i'}(y)\r\n\u001b[39m \u001b[2m101 \u001b[32;22m+\u001b[38;2;205;214;244m$$\r\n\u001b[39m \u001b[2m102 \u001b[32;22m+\r\n\u001b[39m \u001b[2m103 \u001b[32;22m+\u001b[38;2;205;214;244mЦентроидная дефаззификация:\r\n\u001b[39m \u001b[2m104 \u001b[32;22m+\r\n\u001b[39m \u001b[2m105 \u001b[32;22m+\u001b[38;2;205;214;244m$$\r\n\u001b[39m \u001b[2m106 \u001b[32;22m+\u001b[38;2;205;214;244my^* = \\frac{\\int_Y y \\mu_B(y) dy}{\\int_Y \\mu_B(y) dy}\r\n\u001b[39m \u001b[2m107 \u001b[32;22m+\u001b[38;2;205;214;244m$$\r\n\u001b[39m \u001b[2m108 \u001b[32;22m+\r\n\u001b[39m \u001b[2m109 \u001b[32;22m+\u001b[38;2;205;214;244mДля дискретного универсума:\r\n\u001b[39m \u001b[2m110 \u001b[32;22m+\r\n\u001b[39m \u001b[2m111 \u001b[32;22m+\u001b[38;2;205;214;244m$$\r\n\u001b[39m \u001b[2m112 \u001b[32;22m+\u001b[38;2;205;214;244my^* = \\frac{\\sum_k y_k \\mu_B(y_k)}{\\sum_k \\mu_B(y_k)}\r\n\u001b[39m \u001b[2m113 \u001b[32;22m+\u001b[38;2;205;214;244m$$\r\n\u001b[39m \u001b[2m114 \u001b[32;22m+\r\n\u001b[39m \u001b[2m115 \u001b[32;22m+\u001b[38;2;205;214;244mМамдани удобен, когда важно получить интерпретируемые правила с лингвистическими заключениями.\r\n\u001b[39m \u001b[2m116 \u001b[32;22m+\r\n\u001b[39m \u001b[2m117 \u001b[32;22m+\u001b[38;2;147;153;178m##\u001b[38;2;250;179;135m \u001b[38;2;148;226;213mЛарсен\r\n\u001b[39m \u001b[2m118 \u001b[32;22m+\r\n\u001b[39m \u001b[2m119 \u001b[32;22m+\u001b[38;2;205;214;244mВ импликации Ларсена заключение не отсекается, а масштабируется:\r\n\u001b[39m \u001b[2m120 \u001b[32;22m+\r\n\u001b[39m \u001b[2m121 \u001b[32;22m+\u001b[38;2;205;214;244m$$\r\n\u001b[39m \u001b[2m122 \u001b[32;22m+\u001b[38;2;205;214;244m\\mu_{B_i'}(y) = \\alpha_i \\cdot \\mu_{B_i}(y)\r\n\u001b[39m \u001b[2m123 \u001b[32;22m+\u001b[38;2;205;214;244m$$\r\n\u001b[39m \u001b[2m124 \u001b[32;22m+\r\n\u001b[39m \u001b[2m125 \u001b[32;22m+\u001b[38;2;205;214;244mДальше результаты правил обычно объединяются максимумом:\r\n\u001b[39m \u001b[2m126 \u001b[32;22m+\r\n\u001b[39m \u001b[2m127 \u001b[32;22m+\u001b[38;2;205;214;244m$$\r\n\u001b[39m \u001b[2m128 \u001b[32;22m+\u001b[38;2;205;214;244m\\mu_B(y) = \\max_i \\mu_{B_i'}(y)\r\n\u001b[39m \u001b[2m129 \u001b[32;22m+\u001b[38;2;205;214;244m$$\r\n\u001b[39m \u001b[2m130 \u001b[32;22m+\r\n\u001b[39m \u001b[2m131 \u001b[32;22m+\u001b[38;2;147;153;178m##\u001b[38;2;250;179;135m \u001b[38;2;148;226;213mСугено\r\n\u001b[39m \u001b[2m132 \u001b[32;22m+\r\n\u001b[39m \u001b[2m133 \u001b[32;22m+\u001b[38;2;205;214;244mВ выводе Сугено заключение правила — четкая функция входов:\r\n\u001b[39m \u001b[2m134 \u001b[32;22m+\r\n\u001b[39m \u001b[2m135 \u001b[32;22m+\u001b[38;2;205;214;244m$$\r\n\u001b[39m \u001b[2m136 \u001b[32;22m+\u001b[38;2;205;214;244mR_i: \\text{если } x \\text{ есть } A_i, \\text{ то } z_i = f_i(x)\r\n\u001b[39m \u001b[2m137 \u001b[32;22m+\u001b[38;2;205;214;244m$$\r\n\u001b[39m \u001b[2m138 \u001b[32;22m+\r\n\u001b[39m \u001b[2m139 \u001b[32;22m+\u001b[38;2;205;214;244mЧастый вариант первого порядка:\r\n\u001b[39m \u001b[2m140 \u001b[32;22m+\r\n\u001b[39m \u001b[2m141 \u001b[32;22m+\u001b[38;2;205;214;244m$$\r\n\u001b[39m \u001b[2m142 \u001b[32;22m+\u001b[38;2;205;214;244mz_i = p_{i0} + p_{i1}x_1 + \\dots + p_{in}x_n\r\n\u001b[39m \u001b[2m143 \u001b[32;22m+\u001b[38;2;205;214;244m$$\r\n\u001b[39m \u001b[2m144 \u001b[32;22m+\r\n\u001b[39m \u001b[2m145 \u001b[32;22m+\u001b[38;2;205;214;244mИтог:\r\n\u001b[39m \u001b[2m146 \u001b[32;22m+\r\n\u001b[39m \u001b[2m147 \u001b[32;22m+\u001b[38;2;205;214;244m$$\r\n\u001b[39m \u001b[2m148 \u001b[32;22m+\u001b[38;2;205;214;244mz^* = \\frac{\\sum_i \\alpha_i z_i}{\\sum_i \\alpha_i}\r\n\u001b[39m \u001b[2m149 \u001b[32;22m+\u001b[38;2;205;214;244m$$\r\n\u001b[39m \u001b[2m150 \u001b[32;22m+\r\n\u001b[39m \u001b[2m151 \u001b[32;22m+\u001b[38;2;205;214;244mЕсли $z_i$ — константа, получается Сугено нулевого порядка.\r\n\u001b[39m \u001b[2m152 \u001b[32;22m+\r\n\u001b[39m \u001b[2m153 \u001b[32;22m+\u001b[38;2;147;153;178m##\u001b[38;2;250;179;135m \u001b[38;2;148;226;213mЦукамото\r\n\u001b[39m \u001b[2m154 \u001b[32;22m+\r\n\u001b[39m \u001b[2m155 \u001b[32;22m+\u001b[38;2;205;214;244mВ методе Цукамото заключения правил должны иметь монотонные функции принадлежности. Для каждого прав\r\n\u001b[39m \u001b[2m \u001b[38;2;205;214;244;22mила находится четкое значение $z_i$ из условия:\r\n\u001b[39m \u001b[2m156 \u001b[32;22m+\r\n\u001b[39m \u001b[2m157 \u001b[32;22m+\u001b[38;2;205;214;244m$$\r\n\u001b[39m \u001b[2m158 \u001b[32;22m+\u001b[38;2;205;214;244m\\mu_{B_i}(z_i) = \\alpha_i\r\n\u001b[39m \u001b[2m159 \u001b[32;22m+\u001b[38;2;205;214;244m$$\r\n\u001b[39m \u001b[2m160 \u001b[32;22m+\r\n\u001b[39m \u001b[2m161 \u001b[32;22m+\u001b[38;2;205;214;244mИтоговое значение:\r\n\u001b[39m \u001b[2m162 \u001b[32;22m+\r\n\u001b[39m \u001b[2m163 \u001b[32;22m+\u001b[38;2;205;214;244m$$\r\n\u001b[39m \u001b[2m164 \u001b[32;22m+\u001b[38;2;205;214;244mz^* = \\frac{\\sum_i \\alpha_i z_i}{\\sum_i \\alpha_i}\r\n\u001b[39m \u001b[2m165 \u001b[32;22m+\u001b[38;2;205;214;244m$$\r\n\u001b[39m \u001b[2m166 \u001b[32;22m+\r\n\u001b[39m \u001b[2m167 \u001b[32;22m+\u001b[38;2;147;153;178m##\u001b[38;2;250;179;135m \u001b[38;2;148;226;213mКомпозиционное правило вывода\r\n\u001b[39m \u001b[2m168 \u001b[32;22m+\r\n\u001b[39m \u001b[2m169 \u001b[32;22m+\u001b[38;2;205;214;244mЕсли $A$ — нечеткое множество на $X$, а $R$ — нечеткое отношение на $X \\times Y$, то вывод:\r\n\u001b[39m \u001b[2m170 \u001b[32;22m+\r\n\u001b[39m \u001b[2m171 \u001b[32;22m+\u001b[38;2;205;214;244m$$\r\n\u001b[39m \u001b[2m172 \u001b[32;22m+\u001b[38;2;205;214;244mB = A \\circ R\r\n\u001b[39m \u001b[2m173 \u001b[32;22m+\u001b[38;2;205;214;244m$$\r\n\u001b[39m \u001b[2m174 \u001b[32;22m+\r\n\u001b[39m \u001b[2m175 \u001b[32;22m+\u001b[38;2;205;214;244mМаксиминная композиция:\r\n\u001b[39m \u001b[2m176 \u001b[32;22m+\r\n\u001b[39m \u001b[2m177 \u001b[32;22m+\u001b[38;2;205;214;244m$$\r\n\u001b[39m \u001b[2m178 \u001b[32;22m+\u001b[38;2;205;214;244m\\mu_B(y) = \\max_{x \\in X} \\min(\\mu_A(x), \\mu_R(x, y))\r\n\u001b[39m \u001b[2m179 \u001b[32;22m+\u001b[38;2;205;214;244m$$\r\n\u001b[39m \u001b[2m180 \u001b[32;22m+\r\n\u001b[39m \u001b[2m181 \u001b[32;22m+\u001b[38;2;205;214;244mМакс-произведение:\r\n\u001b[39m \u001b[2m182 \u001b[32;22m+\r\n\u001b[39m \u001b[2m183 \u001b[32;22m+\u001b[38;2;205;214;244m$$\r\n\u001b[39m \u001b[2m184 \u001b[32;22m+\u001b[38;2;205;214;244m\\mu_B(y) = \\max_{x \\in X} \\mu_A(x) \\cdot \\mu_R(x, y)\r\n\u001b[39m \u001b[2m185 \u001b[32;22m+\u001b[38;2;205;214;244m$$\r\n\u001b[39m \u001b[2m186 \u001b[32;22m+\r\n\u001b[39m \u001b[2m187 \u001b[32;22m+\u001b[38;2;147;153;178m##\u001b[38;2;250;179;135m \u001b[38;2;148;226;213mЧто запомнить\r\n\u001b[39m \u001b[2m188 \u001b[32;22m+\r\n\u001b[39m \u001b[2m189 \u001b[32;22m+\u001b[38;2;147;153;178m-\u001b[38;2;205;214;244m Мамдани: нечеткое заключение, минимум для импликации, максимум для объединения, затем дефаззификац\r\n\u001b[39m \u001b[2m \u001b[38;2;205;214;244;22mия.\r\n\u001b[39m \u001b[2m190 \u001b[32;22m+\u001b[38;2;147;153;178m-\u001b[38;2;205;214;244m Ларсен: заключение масштабируется произведением.\r\n\u001b[39m \u001b[2m191 \u001b[32;22m+\u001b[38;2;147;153;178m-\u001b[38;2;205;214;244m Сугено: заключение — формула или константа, итог — взвешенное среднее.\r\n\u001b[39m \u001b[2m192 \u001b[32;22m+\u001b[38;2;147;153;178m-\u001b[38;2;205;214;244m Цукамото: монотонные заключения, каждое правило дает четкий результат.\r\n\u001b[39m \u001b[2m193 \u001b[32;22m+\u001b[38;2;147;153;178m-\u001b[38;2;205;214;244m Главная формула силы правила: $\\alpha_i = T(\\mu_{A_{i1}}(x_1^\u001b[38;2;147;153;178m*\u001b[38;2;243;139;168m), \\dots, \\mu_{A_{in}}(x_n^\u001b[38;2;147;153;178m*\u001b[38;2;205;214;244m))$.\r\n\u001b[0m\u001b[109X\r\n\u001b[2m └ \u001b[0mINDEX.md (\u001b[32m+7\u001b[0m \u001b[31m-3\u001b[0m)\r\n \u001b[2m 2 \u001b[0m \u001b[38;2;205;214;244mgenerated: 2026-05-29\r\n\u001b[0m \u001b[2m ⋮\r\n\u001b[0m \u001b[2m13 \u001b[0m \u001b[38;2;147;153;178m|\u001b[38;2;205;214;244m----------\u001b[38;2;147;153;178m|\u001b[38;2;205;214;244m----------\u001b[38;2;147;153;178m|\r\n\u001b[39;48;5;52m \u001b[2m14 \u001b[31;22m-\u001b[38;2;147;153;178;2m|\u001b[38;2;205;214;244m Всего заметок \u001b[38;2;147;153;178m|\u001b[38;2;205;214;244m 461 \u001b[38;2;147;153;178m|\u001b[78X\r\n\u001b[39;48;5;22;22m \u001b[2m14 \u001b[32;22m+\u001b[38;2;147;153;178m|\u001b[38;2;205;214;244m Всего заметок \u001b[38;2;147;153;178m|\u001b[38;2;205;214;244m 462 \u001b[38;2;147;153;178m|\u001b[78X\r\n\u001b[0m \u001b[2m15 \u001b[0m \u001b[38;2;147;153;178m|\u001b[38;2;205;214;244m status: processing \u001b[38;2;147;153;178m|\u001b[38;2;205;214;244m 39 \u001b[38;2;147;153;178m|\u001b[74X\r\n\u001b[39;48;5;52m \u001b[2m16 \u001b[31;22m-\u001b[38;2;147;153;178;2m|\u001b[38;2;205;214;244m status: seed \u001b[38;2;147;153;178m|\u001b[38;2;205;214;244m 220 \u001b[38;2;147;153;178m|\u001b[79X\r\n\u001b[39;48;5;22;22m \u001b[2m16 \u001b[32;22m+\u001b[38;2;147;153;178m|\u001b[38;2;205;214;244m status: seed \u001b[38;2;147;153;178m|\u001b[38;2;205;214;244m 221 \u001b[38;2;147;153;178m|\u001b[79X\r\n\u001b[0m \u001b[2m17 \u001b[0m \u001b[38;2;147;153;178m|\u001b[38;2;205;214;244m status: stable \u001b[38;2;147;153;178m|\u001b[38;2;205;214;244m 109 \u001b[38;2;147;153;178m|\u001b[77X\r\n\u001b[0m \u001b[2m ⋮\r\n\u001b[0m \u001b[2m23\r\n\u001b[48;5;22;22m \u001b[2m24 \u001b[32;22m+\u001b[38;2;147;153;178m###\u001b[38;2;249;226;175m \u001b[38;2;148;226;213m00 Inbox (1)\u001b[85X\r\n\u001b[39m \u001b[2m25 \u001b[32;22m+\r\n\u001b[39m \u001b[2m26 \u001b[32;22m+\u001b[38;2;147;153;178m|\u001b[38;2;205;214;244m \u001b[38;2;147;153;178m`\u001b[38;2;205;214;244m00 Inbox/Краткая теория с важными формулами по нечетким выводам.md\u001b[38;2;147;153;178m`\u001b[38;2;205;214;244m \u001b[38;2;147;153;178m|\u001b[38;2;205;214;244m Краткая теория с важными фор\r\n\u001b[39m \u001b[2m \u001b[38;2;205;214;244;22mмулами по нечетким выводам \u001b[38;2;147;153;178m|\u001b[38;2;205;214;244m seed \u001b[38;2;147;153;178m|\u001b[38;2;205;214;244m concept \u001b[38;2;147;153;178m|\u001b[38;2;205;214;244m math, mephi, fuzzy-sets \u001b[38;2;147;153;178m|\r\n\u001b[39m \u001b[2m27 \u001b[32;22m+\r\n\u001b[0m \u001b[2m28 \u001b[0m \u001b[38;2;147;153;178m###\u001b[38;2;249;226;175m \u001b[38;2;148;226;213m01 Ideas (1)\u001b[85X\r\n\r\n\u001b[39;2m─────────────────────────────────────────────────────────────────────────────────────────────────────────────\r\n\r\n• \u001b[0mЗаметка создана. Проверяю frontmatter, индекс и diff, чтобы не оставить техническую ошибку в YAML или\r\n счётчиках.\r\n\r\n\u001b[2m•\u001b[0m \u001b[1mExplored\r\n\u001b[32m•\u001b[0m \u001b[1mRan\u001b[0m \u001b[38;2;137;180;250mrtk\u001b[38;2;205;214;244m git diff\u001b[38;2;148;226;213m --\u001b[38;2;205;214;244m \u001b[38;2;166;227;161m'00 Inbox/Краткая теория с важными формулами по нечетким выводам.md'\u001b[38;2;205;214;244m INDEX.md\r\n\u001b[39;2m └ INDEX.md | 10 +++++++---\r\n\u001b[0m \u001b[2m 1 file changed, 7 insertions(+), 3 deletions(-)\r\n … +27 lines (ctrl + t to view transcript)\r\n\u001b[0m \u001b[2midea, audio, content, security-awareness |\r\n\u001b[32;1;22m•\u001b[0m \u001b[1mRan\u001b[0m \u001b[38;2;137;180;250mrtk\u001b[38;2;205;214;244m git status\u001b[38;2;147;153;178m --\u001b[38;2;235;160;172mshort\u001b[38;2;148;226;213m --\u001b[38;2;205;214;244m \u001b[38;2;166;227;161m'00 Inbox/Краткая теория с важными формулами по нечетким выводам.md'\u001b[38;2;205;214;244m INDEX.md\r\n\u001b[39;2m └ M INDEX.md\r\n\r\n• \u001b[0mГотово.\r\n\r\n Создал заметку: \u001b[36m00 Inbox/Краткая теория с важными формулами по нечетким выводам.md\r\n\r\n\u001b[0m Обновил \u001b[36mINDEX.md\u001b[0m: добавил \u001b[36m00 Inbox\u001b[0m, увеличил \u001b[36mtotal\u001b[0m и \u001b[36mseed\u001b[0m.\r\n\r\n\u001b[2m─ Worked for 1m 42s ─────────────────────────────────────────────────────────────────────────────────────────\r\n\r\n\u001b[48;5;239;22m\u001b[109X\r\n\u001b[1;2m› \u001b[22;22mАлгоритм Ларсена\r\n\r\n\u001b[0m\u001b[109X\r\n\u001b[2m• \u001b[0mУточни: создать отдельную заметку \u001b[36mАлгоритм Ларсена\u001b[0m в \u001b[36m00 Inbox/\u001b[0m или дописать раздел в уже созданную заметку\r\n про нечеткие выводы?\r\n\r\n\u001b[48;5;239m\u001b[109X\r\n\u001b[1;2m› \u001b[22;22mдостать\r\n\r\n\u001b[0m\u001b[109X\r\n\u001b[2m• \u001b[0mДостану из существующих заметок только часть про алгоритм Ларсена и сверю с краткой шпаргалкой в Inbox.\r\n\r\n\u001b[2m•\u001b[0m \u001b[1mExplored\r\n\u001b[22;2m └ \u001b[36;22mRead\u001b[0m Нечеткий вывод.md\u001b[2m, \u001b[0mКраткая теория с важными формулами по нечетким выводам.md\r\n\r\n\u001b[32;1m•\u001b[0m \u001b[1mRan\u001b[0m \u001b[38;2;137;180;250mrtk\u001b[38;2;205;214;244m grep\u001b[38;2;147;153;178m -\u001b[38;2;235;160;172mn\u001b[38;2;205;214;244m \u001b[38;2;166;227;161m\"Ларсен|Larsen|произвед\"\u001b[38;2;205;214;244m \u001b[38;2;166;227;161m'00 Inbox'\u001b[38;2;205;214;244m \u001b[38;2;166;227;161m'90 Library/Math/Теория нечетких множеств'\u001b[38;2;205;214;244m INDEX.md\r\n\u001b[39;2m └ 10 matches in 4F:\r\n\r\n … +16 lines (ctrl + t to view transcript)\r\n\u001b[0m \u001b[2m 61: **Ларсен:** заключение масштабируется произведением, композиция может выполня...\r\n\r\n\r\n─────────────────────────────────────────────────────────────────────────────────────────────────────────────\r\n\r\n• \u001b[0mПрочитано: \u001b[36m[[Нечеткий вывод]]\u001b[0m и заметка в \u001b[36m00 Inbox\u001b[0m.\r\n\r\n \u001b[1mАлгоритм Ларсена\u001b[0m — вариант нечеткого вывода, где заключение правила не отсекается минимумом, как у Мамдани,\r\n а масштабируется произведением.\r\n\r\n Для правила $i$:\r\n\r\n $$\r\n \\alpha_i = T(\\mu_{A_{i1}}(x_1^\u001b[3m), \\dots, \\mu_{A_{in}}(x_n^\u001b[0m))\r\n $$\r\n\r\n где $\\alpha_i$ — сила активации правила.\r\n\r\n Импликация Ларсена:\r\n\r\n $$\r\n \\mu_{B_i'}(y) = \\alpha_i \\cdot \\mu_{B_i}(y)\r\n $$\r\n\r\n То есть функция принадлежности заключения умножается на степень истинности условия.\r\n\r\n Объединение правил обычно через максимум:\r\n\r\n $$\r\n \\mu_B(y) = \\max_i \\mu_{B_i'}(y)\r\n $$\r\n\r\n Коротко: \u001b[1mМамдани режет заключение минимумом, Ларсен масштабирует заключение произведением\u001b[0m.\r\n\r\n\u001b[2m─────────────────────────────────────────────────────────────────────────────────────────────────────────────\r\n\r\n\u001b[48;5;239;22m \u001b[108X\r\n\u001b[1m›\u001b[22m Свойство\u001b[1Cполностью\u001b[1Cтранзитивной\r\n \r\n\u001b[0m\u001b[2X\u001b[2C\u001b[38;2;246;226;183mgpt-5.5 high\u001b[39;2m · \u001b[38;2;171;223;167;22m~/Documents/Vaults/SecondBrain\u001b[62X\u001b[2A\u001b[13D\u001b[0m", + "data": "\u001b[48;5;22m \u001b[2m67 \u001b[32;22m+\u001b[38;2;205;214;244mНа практике экспертные суждения обычно не полностью согласованы, поэтому считают индекс согласованнос\r\n\u001b[39m \u001b[2m \u001b[38;2;205;214;244;22mти:\u001b[98X\r\n\u001b[39m \u001b[2m68 \u001b[32;22m+\u001b[101X\r\n\u001b[39m \u001b[2m69 \u001b[32;22m+\u001b[38;2;205;214;244m$$CI = \\frac{\\lambda_{max} - n}{n - 1}$$\u001b[61X\r\n\u001b[39m \u001b[2m70 \u001b[32;22m+\u001b[101X\r\n\u001b[39m \u001b[2m71 \u001b[32;22m+\u001b[38;2;205;214;244mИ отношение согласованности:\u001b[73X\r\n\u001b[39m \u001b[2m72 \u001b[32;22m+\u001b[101X\r\n\u001b[39m \u001b[2m73 \u001b[32;22m+\u001b[38;2;205;214;244m$$CR = \\frac{CI}{RI}$$\u001b[79X\r\n\u001b[39m \u001b[2m74 \u001b[32;22m+\u001b[101X\r\n\u001b[39m \u001b[2m75 \u001b[32;22m+\u001b[38;2;205;214;244mОбычно приемлемым считают $CR \\le 10\\%$.\u001b[61X\r\n\u001b[39m \u001b[2m76 \u001b[32;22m+\u001b[101X\r\n\u001b[39m \u001b[2m77 \u001b[32;22m+\u001b[38;2;147;153;178m##\u001b[38;2;250;179;135m \u001b[38;2;148;226;213mРезультат\u001b[89X\r\n\u001b[39m \u001b[2m78 \u001b[32;22m+\u001b[101X\r\n\u001b[39m \u001b[2m79 \u001b[32;22m+\u001b[38;2;205;214;244mИтог МАИ — глобальные приоритеты альтернатив. Чем выше приоритет, тем предпочтительнее альтернатива в\r\n\u001b[39m \u001b[2m \u001b[38;2;205;214;244;22m рамках построенной иерархической модели.\u001b[60X\r\n\u001b[39m \u001b[2m80 \u001b[32;22m+\u001b[101X\r\n\u001b[39m \u001b[2m81 \u001b[32;22m+\u001b[38;2;147;153;178m##\u001b[38;2;250;179;135m \u001b[38;2;148;226;213mСвязанные заметки\u001b[81X\r\n\u001b[39m \u001b[2m82 \u001b[32;22m+\u001b[38;2;147;153;178m-\u001b[38;2;205;214;244m [[Функция принадлежности]]\u001b[73X\r\n\u001b[0m\r\n\u001b[2m └ \u001b[0m90 Library/Math/Теория нечетких множеств/Логические операции над нечеткими множествами.md (\u001b[32m+58\u001b[0m \u001b[31m-3\u001b[0m)\r\n \u001b[2m 1 \u001b[0m \u001b[38;2;147;153;178m---\r\n\u001b[39;48;5;52m \u001b[2m 2 \u001b[31;22m-\u001b[38;2;205;214;244;2mstatus: seed\u001b[89X\r\n\u001b[39;48;5;22;22m \u001b[2m 2 \u001b[32;22m+\u001b[38;2;205;214;244mstatus: processing\u001b[83X\r\n\u001b[0m \u001b[2m 3 \u001b[0m \u001b[38;2;205;214;244mtype: concept\r\n\u001b[0m \u001b[2m ⋮\r\n\u001b[0m \u001b[2m 5 \u001b[0m \u001b[38;2;205;214;244m \u001b[38;2;147;153;178m-\u001b[38;2;205;214;244m math\r\n\u001b[39;48;5;22m \u001b[2m 6 \u001b[32;22m+\u001b[38;2;205;214;244m \u001b[38;2;147;153;178m-\u001b[38;2;205;214;244m mephi\u001b[92X\r\n\u001b[0m \u001b[2m 7 \u001b[0m \u001b[38;2;205;214;244m \u001b[38;2;147;153;178m-\u001b[38;2;205;214;244m fuzzy-sets\r\n\u001b[0m \u001b[2m 8 \u001b[0m \u001b[38;2;205;214;244mcreated: 2025-12-17\r\n\u001b[39;48;5;52m \u001b[2m 8 \u001b[31;22m-\u001b[38;2;205;214;244;2mupdated: 2026-05-07\u001b[82X\r\n\u001b[39;48;5;22;22m \u001b[2m 9 \u001b[32;22m+\u001b[38;2;205;214;244mupdated: 2026-05-29\u001b[82X\r\n\u001b[0m \u001b[2m10 \u001b[0m \u001b[38;2;205;214;244mtitle: Логические операции над нечеткими множествами\r\n\u001b[39;48;5;22m \u001b[2m11 \u001b[32;22m+\u001b[38;2;205;214;244msource: \"[[МИАД_Л1.pdf]]\"\u001b[76X\r\n\u001b[0m \u001b[2m12 \u001b[0m \u001b[38;2;147;153;178m---\u001b[98X\r\n\u001b[0m \u001b[2m ⋮\r\n\u001b[0m \u001b[2m41\r\n\u001b[48;5;22;22m \u001b[2m42 \u001b[32;22m+\u001b[38;2;147;153;178m##\u001b[38;2;250;179;135m \u001b[38;2;148;226;213mДизъюнктивная сумма\u001b[79X\r\n\u001b[39m \u001b[2m43 \u001b[32;22m+\r\n\u001b[39m \u001b[2m44 \u001b[32;22m+\u001b[38;2;205;214;244mДизъюнктивная сумма:\r\n\u001b[39m \u001b[2m45 \u001b[32;22m+\r\n\u001b[39m \u001b[2m46 \u001b[32;22m+\u001b[38;2;205;214;244m$$A \\oplus B = (A \\cap \\overline{B}) \\cup (\\overline{A} \\cap B)$$\r\n\u001b[39m \u001b[2m47 \u001b[32;22m+\r\n\u001b[39m \u001b[2m48 \u001b[32;22m+\u001b[38;2;205;214;244m$$\\mu_{A \\oplus B}(u) = \\max(\\min(\\mu_A(u), 1 - \\mu_B(u)), \\min(1 - \\mu_A(u), \\mu_B(u)))$$\r\n\u001b[39m \u001b[2m49 \u001b[32;22m+\r\n\u001b[39m \u001b[2m50 \u001b[32;22m+\u001b[38;2;147;153;178m##\u001b[38;2;250;179;135m \u001b[38;2;148;226;213mСвойства\r\n\u001b[39m \u001b[2m51 \u001b[32;22m+\r\n\u001b[39m \u001b[2m52 \u001b[32;22m+\u001b[38;2;205;214;244mДля конъюнкции и дизъюнкции выполняются:\r\n\u001b[39m \u001b[2m53 \u001b[32;22m+\u001b[38;2;147;153;178m-\u001b[38;2;205;214;244m коммутативность;\r\n\u001b[39m \u001b[2m54 \u001b[32;22m+\u001b[38;2;147;153;178m-\u001b[38;2;205;214;244m ассоциативность;\r\n\u001b[39m \u001b[2m55 \u001b[32;22m+\u001b[38;2;147;153;178m-\u001b[38;2;205;214;244m идемпотентность;\r\n\u001b[39m \u001b[2m56 \u001b[32;22m+\u001b[38;2;147;153;178m-\u001b[38;2;205;214;244m дистрибутивность;\r\n\u001b[39m \u001b[2m57 \u001b[32;22m+\u001b[38;2;147;153;178m-\u001b[38;2;205;214;244m инволюция;\r\n\u001b[39m \u001b[2m58 \u001b[32;22m+\u001b[38;2;147;153;178m-\u001b[38;2;205;214;244m законы де Моргана.\r\n\u001b[39m \u001b[2m59 \u001b[32;22m+\r\n\u001b[39m \u001b[2m60 \u001b[32;22m+\u001b[38;2;205;214;244mНе выполняются классические свойства дополнения:\r\n\u001b[39m \u001b[2m61 \u001b[32;22m+\r\n\u001b[39m \u001b[2m62 \u001b[32;22m+\u001b[38;2;205;214;244m$$A \\cup \\overline{A} \\ne U$$\r\n\u001b[39m \u001b[2m63 \u001b[32;22m+\r\n\u001b[39m \u001b[2m64 \u001b[32;22m+\u001b[38;2;205;214;244m$$A \\cap \\overline{A} \\ne \\varnothing$$\r\n\u001b[39m \u001b[2m65 \u001b[32;22m+\r\n\u001b[39m \u001b[2m66 \u001b[32;22m+\u001b[38;2;147;153;178m##\u001b[38;2;250;179;135m \u001b[38;2;148;226;213mАлгебраические операции\r\n\u001b[39m \u001b[2m67 \u001b[32;22m+\r\n\u001b[39m \u001b[2m68 \u001b[32;22m+\u001b[38;2;205;214;244mАлгебраическое произведение:\r\n\u001b[39m \u001b[2m69 \u001b[32;22m+\r\n\u001b[39m \u001b[2m70 \u001b[32;22m+\u001b[38;2;205;214;244m$$\\mu_{A \\cdot B}(u) = \\mu_A(u)\\mu_B(u)$$\r\n\u001b[39m \u001b[2m71 \u001b[32;22m+\r\n\u001b[39m \u001b[2m72 \u001b[32;22m+\u001b[38;2;205;214;244mАлгебраическая сумма:\r\n\u001b[39m \u001b[2m73 \u001b[32;22m+\r\n\u001b[39m \u001b[2m74 \u001b[32;22m+\u001b[38;2;205;214;244m$$\\mu_{A + B}(u) = \\mu_A(u) + \\mu_B(u) - \\mu_A(u)\\mu_B(u)$$\r\n\u001b[39m \u001b[2m75 \u001b[32;22m+\r\n\u001b[39m \u001b[2m76 \u001b[32;22m+\u001b[38;2;205;214;244mСтепень нечеткого множества:\r\n\u001b[39m \u001b[2m77 \u001b[32;22m+\r\n\u001b[39m \u001b[2m78 \u001b[32;22m+\u001b[38;2;205;214;244m$$\\mu_{A^\\alpha}(u) = \\mu_A^\\alpha(u)$$\r\n\u001b[39m \u001b[2m79 \u001b[32;22m+\r\n\u001b[39m \u001b[2m80 \u001b[32;22m+\u001b[38;2;205;214;244mПри $\\alpha = 2$ получается концентрирование, при $\\alpha = 0.5$ — растяжение.\r\n\u001b[39m \u001b[2m81 \u001b[32;22m+\r\n\u001b[39m \u001b[2m82 \u001b[32;22m+\u001b[38;2;147;153;178m##\u001b[38;2;250;179;135m \u001b[38;2;148;226;213mНечеткие операторы\r\n\u001b[39m \u001b[2m83 \u001b[32;22m+\r\n\u001b[39m \u001b[2m84 \u001b[32;22m+\u001b[38;2;205;214;244mОперации объединения, пересечения и отрицания можно обобщать разными способами.\r\n\u001b[39m \u001b[2m85 \u001b[32;22m+\r\n\u001b[39m \u001b[2m86 \u001b[32;22m+\u001b[38;2;205;214;244mТреугольная норма — обобщение конъюнкции. Примеры: минимум, алгебраическое произведение, t-норма Лука\r\n\u001b[39m \u001b[2m \u001b[38;2;205;214;244;22mсевича.\r\n\u001b[39m \u001b[2m87 \u001b[32;22m+\r\n\u001b[39m \u001b[2m88 \u001b[32;22m+\u001b[38;2;205;214;244mТреугольная конорма — обобщение дизъюнкции. Примеры: максимум, алгебраическая сумма, t-конорма Лукасе\r\n\u001b[39m \u001b[2m \u001b[38;2;205;214;244;22mвича.\r\n\u001b[39m \u001b[2m89 \u001b[32;22m+\r\n\u001b[39m \u001b[2m90 \u001b[32;22m+\u001b[38;2;205;214;244mОсновные пары операций:\r\n\u001b[39m \u001b[2m91 \u001b[32;22m+\u001b[38;2;147;153;178m-\u001b[38;2;205;214;244m логика Заде — \u001b[38;2;147;153;178m`\u001b[38;2;205;214;244mmin\u001b[38;2;147;153;178m`\u001b[38;2;205;214;244m и \u001b[38;2;147;153;178m`\u001b[38;2;205;214;244mmax\u001b[38;2;147;153;178m`\u001b[38;2;205;214;244m;\r\n\u001b[39m \u001b[2m92 \u001b[32;22m+\u001b[38;2;147;153;178m-\u001b[38;2;205;214;244m вероятностная логика — алгебраическое произведение и алгебраическая сумма;\r\n\u001b[39m \u001b[2m93 \u001b[32;22m+\u001b[38;2;147;153;178m-\u001b[38;2;205;214;244m логика Лукасевича — t-норма и t-конорма Лукасевича.\r\n\u001b[39m \u001b[2m94 \u001b[32;22m+\r\n\u001b[0m \u001b[2m95 \u001b[0m \u001b[38;2;147;153;178m##\u001b[38;2;250;179;135m \u001b[38;2;148;226;213mСвязанные заметки\u001b[81X\r\n\u001b[0m \u001b[2m ⋮\r\n\u001b[0m \u001b[2m97 \u001b[0m \u001b[38;2;147;153;178m-\u001b[38;2;205;214;244m [[Функция принадлежности]] — операции определены через μ\r\n\u001b[39;48;5;52m \u001b[2m43 \u001b[31;22m-\u001b[101X\r\n\u001b[39;48;5;22m \u001b[2m98 \u001b[32;22m+\u001b[38;2;147;153;178m-\u001b[38;2;205;214;244m [[Нечеткий вывод]] — разные импликации используют разные операции над функциями принадлежности\u001b[5X\r\n\u001b[0m\u001b[109X\r\n\u001b[2m └ \u001b[0m90 Library/Math/Теория нечетких множеств/Нечеткие отношения.md (\u001b[32m+61\u001b[0m \u001b[31m-0\u001b[0m)\r\n\u001b[48;5;22m \u001b[2m 1 \u001b[32;22m+\u001b[38;2;147;153;178m---\u001b[98X\r\n\u001b[39m \u001b[2m 2 \u001b[32;22m+\u001b[38;2;205;214;244mstatus: seed\r\n\u001b[39m \u001b[2m 3 \u001b[32;22m+\u001b[38;2;205;214;244mtype: concept\r\n\u001b[39m \u001b[2m 4 \u001b[32;22m+\u001b[38;2;205;214;244mtags:\r\n\u001b[39m \u001b[2m 5 \u001b[32;22m+\u001b[38;2;205;214;244m \u001b[38;2;147;153;178m-\u001b[38;2;205;214;244m math\r\n\u001b[39m \u001b[2m 6 \u001b[32;22m+\u001b[38;2;205;214;244m \u001b[38;2;147;153;178m-\u001b[38;2;205;214;244m mephi\r\n\u001b[39m \u001b[2m 7 \u001b[32;22m+\u001b[38;2;205;214;244m \u001b[38;2;147;153;178m-\u001b[38;2;205;214;244m fuzzy-sets\r\n\u001b[39m \u001b[2m 8 \u001b[32;22m+\u001b[38;2;205;214;244mcreated: 2026-05-29\r\n\u001b[39m \u001b[2m 9 \u001b[32;22m+\u001b[38;2;205;214;244mupdated: 2026-05-29\r\n\u001b[39m \u001b[2m10 \u001b[32;22m+\u001b[38;2;205;214;244mtitle: Нечеткие отношения\r\n\u001b[39m \u001b[2m11 \u001b[32;22m+\u001b[38;2;205;214;244msource: \"[[МИАД_Л2.pdf]]\"\r\n\u001b[39m \u001b[2m12 \u001b[32;22m+\u001b[38;2;147;153;178m---\r\n\u001b[39m \u001b[2m13 \u001b[32;22m+\r\n\u001b[39m \u001b[2m14 \u001b[32;22m+\u001b[38;2;147;153;178m#\u001b[38;2;243;139;168m \u001b[38;2;148;226;213mНечеткие отношения\r\n\u001b[39m \u001b[2m15 \u001b[32;22m+\r\n\u001b[39m \u001b[2m16 \u001b[32;22m+\u001b[38;2;205;214;244mНечеткое отношение $R$ на универсальном множестве $U = U_1 \\times U_2$ — это нечеткое подмножество де\r\n\u001b[39m \u001b[2m \u001b[38;2;205;214;244;22mкартова произведения с функцией принадлежности:\r\n\u001b[39m \u001b[2m17 \u001b[32;22m+\r\n\u001b[39m \u001b[2m18 \u001b[32;22m+\u001b[38;2;205;214;244m$$\\mu_R(x, y): U_1 \\times U_2 \\to [0, 1]$$\r\n\u001b[39m \u001b[2m19 \u001b[32;22m+\r\n\u001b[39m \u001b[2m20 \u001b[32;22m+\u001b[38;2;205;214;244mЗначение $\\mu_R(x, y)$ трактуется как субъективная мера выполнения отношения $xRy$.\r\n\u001b[39m \u001b[2m21 \u001b[32;22m+\r\n\u001b[39m \u001b[2m22 \u001b[32;22m+\u001b[38;2;147;153;178m##\u001b[38;2;250;179;135m \u001b[38;2;148;226;213mОтличие от четкого отношения\r\n\u001b[39m \u001b[2m23 \u001b[32;22m+\r\n\u001b[39m \u001b[2m24 \u001b[32;22m+\u001b[38;2;205;214;244mЧеткое бинарное отношение отвечает на вопрос «связаны элементы или нет». Нечеткое отношение показывае\r\n\u001b[39m \u001b[2m \u001b[38;2;205;214;244;22mт силу связи: например, вес дуги во взвешенном графе.\r\n\u001b[39m \u001b[2m25 \u001b[32;22m+\r\n\u001b[39m \u001b[2m26 \u001b[32;22m+\u001b[38;2;205;214;244mПримеры:\r\n\u001b[39m \u001b[2m27 \u001b[32;22m+\u001b[38;2;147;153;178m-\u001b[38;2;205;214;244m «$x$ и $y$ близкие числа»;\r\n\u001b[39m \u001b[2m28 \u001b[32;22m+\u001b[38;2;147;153;178m-\u001b[38;2;205;214;244m «$x$ намного больше $y$»;\r\n\u001b[39m \u001b[2m29 \u001b[32;22m+\u001b[38;2;147;153;178m-\u001b[38;2;205;214;244m качественные связи между объектами системы, где простое да/нет теряет информацию.\r\n\u001b[39m \u001b[2m30 \u001b[32;22m+\r\n\u001b[39m \u001b[2m31 \u001b[32;22m+\u001b[38;2;147;153;178m##\u001b[38;2;250;179;135m \u001b[38;2;148;226;213mСпособы задания\r\n\u001b[39m \u001b[2m32 \u001b[32;22m+\r\n\u001b[39m \u001b[2m33 \u001b[32;22m+\u001b[38;2;205;214;244mДля конечных универсумов отношение удобно задавать матрицей: строки соответствуют элементам $U_1$, ст\r\n\u001b[39m \u001b[2m \u001b[38;2;205;214;244;22mолбцы — элементам $U_2$, значения ячеек — степеням принадлежности.\r\n\u001b[39m \u001b[2m34 \u001b[32;22m+\r\n\u001b[39m \u001b[2m35 \u001b[32;22m+\u001b[38;2;205;214;244mДля счетных или конечных множеств отношение также можно интерпретировать как взвешенный граф.\r\n\u001b[39m \u001b[2m36 \u001b[32;22m+\r\n\u001b[39m \u001b[2m37 \u001b[32;22m+\u001b[38;2;147;153;178m##\u001b[38;2;250;179;135m \u001b[38;2;148;226;213mОперации\r\n\u001b[39m \u001b[2m38 \u001b[32;22m+\r\n\u001b[39m \u001b[2m39 \u001b[32;22m+\u001b[38;2;205;214;244mНа нечеткие отношения переносятся операции для [[Логические операции над нечеткими множествами|нечетк\r\n\u001b[39m \u001b[2m \u001b[38;2;205;214;244;22mих множеств]]:\r\n\u001b[39m \u001b[2m40 \u001b[32;22m+\u001b[38;2;147;153;178m-\u001b[38;2;205;214;244m носитель: пары, для которых $\\mu_R(x, y) > 0$;\r\n\u001b[39m \u001b[2m41 \u001b[32;22m+\u001b[38;2;147;153;178m-\u001b[38;2;205;214;244m объединение;\r\n\u001b[39m \u001b[2m42 \u001b[32;22m+\u001b[38;2;147;153;178m-\u001b[38;2;205;214;244m пересечение;\r\n\u001b[39m \u001b[2m43 \u001b[32;22m+\u001b[38;2;147;153;178m-\u001b[38;2;205;214;244m отрицание;\r\n\u001b[39m \u001b[2m44 \u001b[32;22m+\u001b[38;2;147;153;178m-\u001b[38;2;205;214;244m отношение уровня $\\alpha$: пары, для которых $\\mu_R(x, y) \\ge \\alpha$.\r\n\u001b[39m \u001b[2m45 \u001b[32;22m+\r\n\u001b[39m \u001b[2m46 \u001b[32;22m+\u001b[38;2;147;153;178m##\u001b[38;2;250;179;135m \u001b[38;2;148;226;213mКомпозиции отношений\r\n\u001b[39m \u001b[2m47 \u001b[32;22m+\r\n\u001b[39m \u001b[2m48 \u001b[32;22m+\u001b[38;2;205;214;244mОсновные композиции:\r\n\u001b[39m \u001b[2m49 \u001b[32;22m+\r\n\u001b[39m \u001b[2m50 \u001b[32;22m+\u001b[38;2;205;214;244m$$\\mu_{AB}(x, z) = \\max_y \\min(\\mu_A(x, y), \\mu_B(y, z))$$\r\n\u001b[39m \u001b[2m51 \u001b[32;22m+\r\n\u001b[39m \u001b[2m52 \u001b[32;22m+\u001b[38;2;205;214;244m$$\\mu_{A \\circ B}(x, z) = \\min_y \\max(\\mu_A(x, y), \\mu_B(y, z))$$\r\n\u001b[39m \u001b[2m53 \u001b[32;22m+\r\n\u001b[39m \u001b[2m54 \u001b[32;22m+\u001b[38;2;205;214;244m$$\\mu_{A * B}(x, z) = \\sup_y \\mu_A(x, y)\\mu_B(y, z)$$\r\n\u001b[39m \u001b[2m55 \u001b[32;22m+\r\n\u001b[39m \u001b[2m56 \u001b[32;22m+\u001b[38;2;205;214;244mМаксиминная композиция особенно важна для [[Нечеткий вывод|нечеткого вывода]].\r\n\u001b[39m \u001b[2m57 \u001b[32;22m+\r\n\u001b[39m \u001b[2m58 \u001b[32;22m+\u001b[38;2;147;153;178m##\u001b[38;2;250;179;135m \u001b[38;2;148;226;213mСвязанные заметки\r\n\u001b[39m \u001b[2m59 \u001b[32;22m+\u001b[38;2;147;153;178m-\u001b[38;2;205;214;244m [[Теория нечетких множеств]]\r\n\u001b[39m \u001b[2m60 \u001b[32;22m+\u001b[38;2;147;153;178m-\u001b[38;2;205;214;244m [[Функция принадлежности]]\r\n\u001b[39m \u001b[2m61 \u001b[32;22m+\u001b[38;2;147;153;178m-\u001b[38;2;205;214;244m [[Нечеткий вывод]]\r\n\u001b[0m\u001b[109X\r\n\u001b[2m └ \u001b[0m90 Library/Math/Теория нечетких множеств/Нечеткий вывод.md (\u001b[32m+69\u001b[0m \u001b[31m-0\u001b[0m)\r\n\u001b[48;5;22m \u001b[2m 1 \u001b[32;22m+\u001b[38;2;147;153;178m---\u001b[98X\r\n\u001b[39m \u001b[2m 2 \u001b[32;22m+\u001b[38;2;205;214;244mstatus: seed\r\n\u001b[39m \u001b[2m 3 \u001b[32;22m+\u001b[38;2;205;214;244mtype: concept\r\n\u001b[39m \u001b[2m 4 \u001b[32;22m+\u001b[38;2;205;214;244mtags:\r\n\u001b[39m \u001b[2m 5 \u001b[32;22m+\u001b[38;2;205;214;244m \u001b[38;2;147;153;178m-\u001b[38;2;205;214;244m math\r\n\u001b[39m \u001b[2m 6 \u001b[32;22m+\u001b[38;2;205;214;244m \u001b[38;2;147;153;178m-\u001b[38;2;205;214;244m mephi\r\n\u001b[39m \u001b[2m 7 \u001b[32;22m+\u001b[38;2;205;214;244m \u001b[38;2;147;153;178m-\u001b[38;2;205;214;244m fuzzy-sets\r\n\u001b[39m \u001b[2m 8 \u001b[32;22m+\u001b[38;2;205;214;244mcreated: 2026-05-29\r\n\u001b[39m \u001b[2m 9 \u001b[32;22m+\u001b[38;2;205;214;244mupdated: 2026-05-29\r\n\u001b[39m \u001b[2m10 \u001b[32;22m+\u001b[38;2;205;214;244mtitle: Нечеткий вывод\r\n\u001b[39m \u001b[2m11 \u001b[32;22m+\u001b[38;2;205;214;244msource: \"[[МИАД_Л3_нечеткий_вывод.pdf]]\"\r\n\u001b[39m \u001b[2m12 \u001b[32;22m+\u001b[38;2;147;153;178m---\r\n\u001b[39m \u001b[2m13 \u001b[32;22m+\r\n\u001b[39m \u001b[2m14 \u001b[32;22m+\u001b[38;2;147;153;178m#\u001b[38;2;243;139;168m \u001b[38;2;148;226;213mНечеткий вывод\r\n\u001b[39m \u001b[2m15 \u001b[32;22m+\r\n\u001b[39m \u001b[2m16 \u001b[32;22m+\u001b[38;2;205;214;244mНечеткий логический вывод — это аппроксимация зависимости выходной лингвистической переменной от вход\r\n\u001b[39m \u001b[2m \u001b[38;2;205;214;244;22mных переменных через базу знаний и операции над нечеткими множествами.\r\n\u001b[39m \u001b[2m17 \u001b[32;22m+\r\n\u001b[39m \u001b[2m18 \u001b[32;22m+\u001b[38;2;147;153;178m##\u001b[38;2;250;179;135m \u001b[38;2;148;226;213mНечеткая и лингвистическая переменная\r\n\u001b[39m \u001b[2m19 \u001b[32;22m+\r\n\u001b[39m \u001b[2m20 \u001b[32;22m+\u001b[38;2;205;214;244mНечеткая переменная задаётся кортежем $\\langle X, U, \\tilde{X} \\rangle$, где:\r\n\u001b[39m \u001b[2m21 \u001b[32;22m+\u001b[38;2;147;153;178m-\u001b[38;2;205;214;244m $X$ — имя переменной;\r\n\u001b[39m \u001b[2m22 \u001b[32;22m+\u001b[38;2;147;153;178m-\u001b[38;2;205;214;244m $U$ — универсум;\r\n\u001b[39m \u001b[2m23 \u001b[32;22m+\u001b[38;2;147;153;178m-\u001b[38;2;205;214;244m $\\tilde{X}$ — нечеткое множество, ограничивающее значения переменной.\r\n\u001b[39m \u001b[2m24 \u001b[32;22m+\r\n\u001b[39m \u001b[2m25 \u001b[32;22m+\u001b[38;2;205;214;244mЛингвистическая переменная задаётся кортежем $\\langle \\beta, T, U, G, M \\rangle$, где:\r\n\u001b[39m \u001b[2m26 \u001b[32;22m+\u001b[38;2;147;153;178m-\u001b[38;2;205;214;244m $\\beta$ — имя переменной;\r\n\u001b[39m \u001b[2m27 \u001b[32;22m+\u001b[38;2;147;153;178m-\u001b[38;2;205;214;244m $T$ — терм-множество;\r\n\u001b[39m \u001b[2m28 \u001b[32;22m+\u001b[38;2;147;153;178m-\u001b[38;2;205;214;244m $U$ — универсум;\r\n\u001b[39m \u001b[2m29 \u001b[32;22m+\u001b[38;2;147;153;178m-\u001b[38;2;205;214;244m $G$ — синтаксическая процедура образования новых значений;\r\n\u001b[39m \u001b[2m30 \u001b[32;22m+\u001b[38;2;147;153;178m-\u001b[38;2;205;214;244m $M$ — семантическая процедура, сопоставляющая значениям нечеткие переменные.\r\n\u001b[39m \u001b[2m31 \u001b[32;22m+\r\n\u001b[39m \u001b[2m32 \u001b[32;22m+\u001b[38;2;205;214;244mНапример, значения лингвистической переменной «возраст»: «молодой», «среднего возраста», «пожилой».\r\n\u001b[39m \u001b[2m33 \u001b[32;22m+\r\n\u001b[39m \u001b[2m34 \u001b[32;22m+\u001b[38;2;147;153;178m##\u001b[38;2;250;179;135m \u001b[38;2;148;226;213mИмпликация\r\n\u001b[39m \u001b[2m35 \u001b[32;22m+\r\n\u001b[39m \u001b[2m36 \u001b[32;22m+\u001b[38;2;205;214;244mВ нечеткой логике импликация может задаваться разными способами. В лекции используются:\r\n\u001b[39m \u001b[2m37 \u001b[32;22m+\u001b[38;2;147;153;178m-\u001b[38;2;205;214;244m импликация Мамдани — минимум функций принадлежности;\r\n\u001b[39m \u001b[2m38 \u001b[32;22m+\u001b[38;2;147;153;178m-\u001b[38;2;205;214;244m импликация Ларсена — произведение функций принадлежности.\r\n\u001b[39m \u001b[2m39 \u001b[32;22m+\r\n\u001b[39m \u001b[2m40 \u001b[32;22m+\u001b[38;2;147;153;178m##\u001b[38;2;250;179;135m \u001b[38;2;148;226;213mКомпозиционное правило вывода\r\n\u001b[39m \u001b[2m41 \u001b[32;22m+\r\n\u001b[39m \u001b[2m42 \u001b[32;22m+\u001b[38;2;205;214;244mЕсли $A$ — нечеткое подмножество универсума $U$, а $F$ — нечеткое подмножество $U \\times V$, то резул\r\n\u001b[39m \u001b[2m \u001b[38;2;205;214;244;22mьтат вывода:\r\n\u001b[39m \u001b[2m43 \u001b[32;22m+\r\n\u001b[39m \u001b[2m44 \u001b[32;22m+\u001b[38;2;205;214;244m$$B = A \\circ F$$\r\n\u001b[39m \u001b[2m45 \u001b[32;22m+\r\n\u001b[39m \u001b[2m46 \u001b[32;22m+\u001b[38;2;205;214;244mПри импликации Мамдани обычно используется максиминная композиция:\r\n\u001b[39m \u001b[2m47 \u001b[32;22m+\r\n\u001b[39m \u001b[2m48 \u001b[32;22m+\u001b[38;2;205;214;244m$$\\mu_B(v) = \\max_u \\min(\\mu_A(u), \\mu_F(u, v))$$\r\n\u001b[39m \u001b[2m49 \u001b[32;22m+\r\n\u001b[39m \u001b[2m50 \u001b[32;22m+\u001b[38;2;147;153;178m##\u001b[38;2;250;179;135m \u001b[38;2;148;226;213mЭтапы нечеткого вывода\r\n\u001b[39m \u001b[2m51 \u001b[32;22m+\r\n\u001b[39m \u001b[2m52 \u001b[32;22m+\u001b[38;2;205;214;244m1\u001b[38;2;147;153;178m.\u001b[38;2;205;214;244m Фаззификация — вычисление степени истинности предпосылок правил для конкретных входных значений.\r\n\u001b[39m \u001b[2m53 \u001b[32;22m+\u001b[38;2;205;214;244m2\u001b[38;2;147;153;178m.\u001b[38;2;205;214;244m Импликация — применение степени истинности предпосылки к заключению правила.\r\n\u001b[39m \u001b[2m54 \u001b[32;22m+\u001b[38;2;205;214;244m3\u001b[38;2;147;153;178m.\u001b[38;2;205;214;244m Композиция — объединение результатов правил в одно нечеткое множество для выходной переменной.\r\n\u001b[39m \u001b[2m55 \u001b[32;22m+\u001b[38;2;205;214;244m4\u001b[38;2;147;153;178m.\u001b[38;2;205;214;244m Дефаззификация — необязательное преобразование нечеткого результата в четкое значение.\r\n\u001b[39m \u001b[2m56 \u001b[32;22m+\r\n\u001b[39m \u001b[2m57 \u001b[32;22m+\u001b[38;2;147;153;178m##\u001b[38;2;250;179;135m \u001b[38;2;148;226;213mАлгоритмы\r\n\u001b[39m \u001b[2m58 \u001b[32;22m+\r\n\u001b[39m \u001b[2m59 \u001b[32;22m+\u001b[38;2;147;153;178m**\u001b[38;2;243;139;168;1mМамдани:\u001b[38;2;147;153;178;22m**\u001b[38;2;205;214;244m заключение правила отсекается минимумом, результаты правил объединяются максимумом.\r\n\u001b[39m \u001b[2m60 \u001b[32;22m+\r\n\u001b[39m \u001b[2m61 \u001b[32;22m+\u001b[38;2;147;153;178m**\u001b[38;2;243;139;168;1mЛарсен:\u001b[38;2;147;153;178;22m**\u001b[38;2;205;214;244m заключение масштабируется произведением, композиция может выполняться максимумом или сумм\r\n\u001b[39m \u001b[2m \u001b[38;2;205;214;244;22mированием.\r\n\u001b[39m \u001b[2m62 \u001b[32;22m+\r\n\u001b[39m \u001b[2m63 \u001b[32;22m+\u001b[38;2;147;153;178m**\u001b[38;2;243;139;168;1mЦукамото:\u001b[38;2;147;153;178;22m**\u001b[38;2;205;214;244m заключения должны иметь монотонные функции принадлежности; для каждого правила получает\r\n\u001b[39m \u001b[2m \u001b[38;2;205;214;244;22mся четкое значение, итог считается как взвешенное среднее.\r\n\u001b[39m \u001b[2m64 \u001b[32;22m+\r\n\u001b[39m \u001b[2m65 \u001b[32;22m+\u001b[38;2;147;153;178m##\u001b[38;2;250;179;135m \u001b[38;2;148;226;213mСвязанные заметки\r\n\u001b[39m \u001b[2m66 \u001b[32;22m+\u001b[38;2;147;153;178m-\u001b[38;2;205;214;244m [[Теория нечетких множеств]]\r\n\u001b[39m \u001b[2m67 \u001b[32;22m+\u001b[38;2;147;153;178m-\u001b[38;2;205;214;244m [[Нечеткие отношения]]\r\n\u001b[39m \u001b[2m68 \u001b[32;22m+\u001b[38;2;147;153;178m-\u001b[38;2;205;214;244m [[Функция принадлежности]]\r\n\u001b[39m \u001b[2m69 \u001b[32;22m+\u001b[38;2;147;153;178m-\u001b[38;2;205;214;244m [[Логические операции над нечеткими множествами]]\r\n\u001b[0m\u001b[109X\r\n\u001b[2m └ \u001b[0m90 Library/Math/Теория нечетких множеств/Определение нечеткого множества.md (\u001b[32m+8\u001b[0m \u001b[31m-2\u001b[0m)\r\n \u001b[2m 1 \u001b[0m \u001b[38;2;147;153;178m---\r\n\u001b[39;48;5;52m \u001b[2m 2 \u001b[31;22m-\u001b[38;2;205;214;244;2mstatus: seed\u001b[89X\r\n\u001b[39;48;5;22;22m \u001b[2m 2 \u001b[32;22m+\u001b[38;2;205;214;244mstatus: processing\u001b[83X\r\n\u001b[0m \u001b[2m 3 \u001b[0m \u001b[38;2;205;214;244mtype: concept\u001b[88X\r\n\u001b[0m \u001b[2m ⋮\r\n\u001b[0m \u001b[2m 5 \u001b[0m \u001b[38;2;205;214;244m \u001b[38;2;147;153;178m-\u001b[38;2;205;214;244m math\r\n\u001b[39;48;5;22m \u001b[2m 6 \u001b[32;22m+\u001b[38;2;205;214;244m \u001b[38;2;147;153;178m-\u001b[38;2;205;214;244m mephi\u001b[92X\r\n\u001b[0m \u001b[2m 7 \u001b[0m \u001b[38;2;205;214;244m \u001b[38;2;147;153;178m-\u001b[38;2;205;214;244m fuzzy-sets\u001b[87X\r\n\u001b[0m \u001b[2m 8 \u001b[0m \u001b[38;2;205;214;244mcreated: 2026-02-17\r\n\u001b[39;48;5;52m \u001b[2m 8 \u001b[31;22m-\u001b[38;2;205;214;244;2mupdated: 2026-05-07\u001b[82X\r\n\u001b[39;48;5;22;22m \u001b[2m 9 \u001b[32;22m+\u001b[38;2;205;214;244mupdated: 2026-05-29\u001b[82X\r\n\u001b[0m \u001b[2m10 \u001b[0m \u001b[38;2;205;214;244mtitle: Определение Нечеткого Множества\u001b[63X\r\n\u001b[39;48;5;22m \u001b[2m11 \u001b[32;22m+\u001b[38;2;205;214;244msource: \"[[МИАД_Л1.pdf]]\"\u001b[76X\r\n\u001b[0m \u001b[2m12 \u001b[0m \u001b[38;2;147;153;178m---\u001b[98X\r\n\u001b[0m \u001b[2m ⋮\r\n\u001b[0m \u001b[2m25\r\n\u001b[48;5;22;22m \u001b[2m26 \u001b[32;22m+\u001b[38;2;205;214;244mНечеткая логика удобна, когда нужно формализовать качественные понятия естественного языка: «большой»\r\n\u001b[39m \u001b[2m \u001b[38;2;205;214;244;22m, «молодой», «популярный». Такое понятие сначала задаётся функцией принадлежности, а затем использует\r\n\u001b[39m \u001b[2m \u001b[38;2;205;214;244;22mся как математический объект.\r\n\u001b[39m \u001b[2m27 \u001b[32;22m+\r\n\u001b[39m \u001b[2m28 \u001b[32;22m+\u001b[38;2;205;214;244mПлюс подхода — описание задачи языком, близким к естественному. Минус — зависимость модели от ЛПР или\r\n\u001b[39m \u001b[2m \u001b[38;2;205;214;244;22m экспертов: вид и параметры функции принадлежности выбираются субъективно.\r\n\u001b[39m \u001b[2m29 \u001b[32;22m+\r\n\u001b[0m \u001b[2m30 \u001b[0m \u001b[38;2;205;214;244mПримеры:\u001b[93X\r\n\r\n\u001b[39;2m └ \u001b[0m90 Library/Math/Теория нечетких множеств/Теория нечетких множеств.md (\u001b[32m+4\u001b[0m \u001b[31m-2\u001b[0m)\r\n \u001b[2m 1 \u001b[0m \u001b[38;2;147;153;178m---\r\n\u001b[39;48;5;52m \u001b[2m 2 \u001b[31;22m-\u001b[38;2;205;214;244;2mstatus: stable\u001b[87X\r\n\u001b[39;48;5;22;22m \u001b[2m 2 \u001b[32;22m+\u001b[38;2;205;214;244mstatus: processing\u001b[83X\r\n\u001b[0m \u001b[2m 3 \u001b[0m \u001b[38;2;205;214;244mtype: moc\u001b[92X\r\n\u001b[0m \u001b[2m ⋮\r\n\u001b[0m \u001b[2m 8 \u001b[0m \u001b[38;2;205;214;244mcreated: 2026-05-02\r\n\u001b[39;48;5;52m \u001b[2m 9 \u001b[31;22m-\u001b[38;2;205;214;244;2mupdated: 2026-05-07\u001b[82X\r\n\u001b[39;48;5;22;22m \u001b[2m 9 \u001b[32;22m+\u001b[38;2;205;214;244mupdated: 2026-05-29\u001b[82X\r\n\u001b[0m \u001b[2m10 \u001b[0m \u001b[38;2;205;214;244mtitle: Теория Нечетких Множеств\u001b[70X\r\n\u001b[0m \u001b[2m ⋮\r\n\u001b[0m \u001b[2m18 \u001b[0m \u001b[38;2;147;153;178m-\u001b[38;2;205;214;244m [[Логические операции над нечеткими множествами]]\r\n\u001b[39;48;5;22m \u001b[2m19 \u001b[32;22m+\u001b[38;2;147;153;178m-\u001b[38;2;205;214;244m [[Нечеткие отношения]]\u001b[77X\r\n\u001b[39m \u001b[2m20 \u001b[32;22m+\u001b[38;2;147;153;178m-\u001b[38;2;205;214;244m [[Нечеткий вывод]]\r\n\u001b[0m \u001b[2m21 \u001b[0m \u001b[38;2;147;153;178m-\u001b[38;2;205;214;244m [[Определение нечеткого множества]]\u001b[64X\r\n\r\n\u001b[39;2m └ \u001b[0m90 Library/Math/Теория нечетких множеств/Функция принадлежности.md (\u001b[32m+14\u001b[0m \u001b[31m-3\u001b[0m)\r\n \u001b[2m 1 \u001b[0m \u001b[38;2;147;153;178m---\r\n\u001b[39;48;5;52m \u001b[2m 2 \u001b[31;22m-\u001b[38;2;205;214;244;2mstatus: stable\u001b[87X\r\n\u001b[39;48;5;22;22m \u001b[2m 2 \u001b[32;22m+\u001b[38;2;205;214;244mstatus: processing\u001b[83X\r\n\u001b[0m \u001b[2m 3 \u001b[0m \u001b[38;2;205;214;244mtype: concept\u001b[88X\r\n\u001b[0m \u001b[2m ⋮\r\n\u001b[0m \u001b[2m 8 \u001b[0m \u001b[38;2;205;214;244mcreated: 2026-02-17\r\n\u001b[39;48;5;52m \u001b[2m 9 \u001b[31;22m-\u001b[38;2;205;214;244;2mupdated: 2026-05-07\u001b[82X\r\n\u001b[39;48;5;22;22m \u001b[2m 9 \u001b[32;22m+\u001b[38;2;205;214;244mupdated: 2026-05-29\u001b[82X\r\n\u001b[0m \u001b[2m10 \u001b[0m \u001b[38;2;205;214;244mtitle: Функция принадлежности\u001b[72X\r\n\u001b[39;48;5;22m \u001b[2m11 \u001b[32;22m+\u001b[38;2;205;214;244msource:\u001b[94X\r\n\u001b[39m \u001b[2m12 \u001b[32;22m+\u001b[38;2;205;214;244m \u001b[38;2;147;153;178m-\u001b[38;2;205;214;244m \"[[МИАД_Л1.pdf]]\"\r\n\u001b[39m \u001b[2m13 \u001b[32;22m+\u001b[38;2;205;214;244m \u001b[38;2;147;153;178m-\u001b[38;2;205;214;244m \"[[МИАД_Л2.pdf]]\"\r\n\u001b[0m \u001b[2m14 \u001b[0m \u001b[38;2;147;153;178m---\u001b[98X\r\n\u001b[0m \u001b[2m ⋮\r\n\u001b[0m \u001b[2m22\r\n\u001b[48;5;22;22m \u001b[2m23 \u001b[32;22m+\u001b[38;2;205;214;244mПеред построением функции принадлежности важно понять шкалу измерения признака:\u001b[22X\r\n\u001b[39m \u001b[2m24 \u001b[32;22m+\u001b[38;2;147;153;178m-\u001b[38;2;205;214;244m номинальная — категории без порядка;\r\n\u001b[39m \u001b[2m25 \u001b[32;22m+\u001b[38;2;147;153;178m-\u001b[38;2;205;214;244m порядковая — категории упорядочены, но расстояния между ними не интерпретируются;\r\n\u001b[39m \u001b[2m26 \u001b[32;22m+\u001b[38;2;147;153;178m-\u001b[38;2;205;214;244m интервальная — имеют смысл разности значений;\r\n\u001b[39m \u001b[2m27 \u001b[32;22m+\u001b[38;2;147;153;178m-\u001b[38;2;205;214;244m относительная — имеют смысл и разности, и отношения;\r\n\u001b[39m \u001b[2m28 \u001b[32;22m+\u001b[38;2;147;153;178m-\u001b[38;2;205;214;244m дихотомическая — частный случай номинальной шкалы с двумя значениями.\r\n\u001b[39m \u001b[2m29 \u001b[32;22m+\r\n\u001b[39m \u001b[2m30 \u001b[32;22m+\u001b[38;2;205;214;244mПрямые методы обычно применяются для признаков в относительной шкале. Косвенные методы применяются, к\r\n\u001b[39m \u001b[2m \u001b[38;2;205;214;244;22mогда данные качественные или категориальные; распространённый вариант — парные сравнения по шкале Саа\r\n\u001b[39m \u001b[2m \u001b[38;2;205;214;244;22mти.\r\n\u001b[39m \u001b[2m31 \u001b[32;22m+\r\n\u001b[0m \u001b[2m32 \u001b[0m \u001b[38;2;147;153;178m##\u001b[38;2;250;179;135m \u001b[38;2;148;226;213mТиповые формы кривых\u001b[78X\r\n\u001b[0m \u001b[2m ⋮\r\n\u001b[0m \u001b[2m56 \u001b[0m \u001b[38;2;147;153;178m-\u001b[38;2;205;214;244m [[Линейные модели]] — сигмоидальная функция принадлежности = та же сигмоида в логистической регресс\r\n\u001b[0m \u001b[2m \u001b[38;2;205;214;244;22mии\r\n\u001b[39;48;5;52m \u001b[2m45 \u001b[31;22m-\u001b[101X\r\n\u001b[0m\u001b[109X\r\n\u001b[2m └ \u001b[0m90 Library/Programming/Ruby On Rails/Capistrano deploy через systemd.md (\u001b[32m+42\u001b[0m \u001b[31m-0\u001b[0m)\r\n\u001b[48;5;22m \u001b[2m 1 \u001b[32;22m+\u001b[38;2;147;153;178m---\u001b[98X\r\n\u001b[39m \u001b[2m 2 \u001b[32;22m+\u001b[38;2;205;214;244mstatus: seed\r\n\u001b[39m \u001b[2m 3 \u001b[32;22m+\u001b[38;2;205;214;244mtype: guide\r\n\u001b[39m \u001b[2m 4 \u001b[32;22m+\u001b[38;2;205;214;244mtags:\r\n\u001b[39m \u001b[2m 5 \u001b[32;22m+\u001b[38;2;205;214;244m \u001b[38;2;147;153;178m-\u001b[38;2;205;214;244m programming\r\n\u001b[39m \u001b[2m 6 \u001b[32;22m+\u001b[38;2;205;214;244m \u001b[38;2;147;153;178m-\u001b[38;2;205;214;244m ruby-on-rails\r\n\u001b[39m \u001b[2m 7 \u001b[32;22m+\u001b[38;2;205;214;244m \u001b[38;2;147;153;178m-\u001b[38;2;205;214;244m deploy\r\n\u001b[39m \u001b[2m 8 \u001b[32;22m+\u001b[38;2;205;214;244mcreated: 2026-05-29\r\n\u001b[39m \u001b[2m 9 \u001b[32;22m+\u001b[38;2;205;214;244mupdated: 2026-05-29\r\n\u001b[39m \u001b[2m10 \u001b[32;22m+\u001b[38;2;205;214;244mtitle: Capistrano deploy через systemd\r\n\u001b[39m \u001b[2m11 \u001b[32;22m+\u001b[38;2;205;214;244msource: \"[[Команды для деплоя с помощью Capistrano]]\"\r\n\u001b[39m \u001b[2m12 \u001b[32;22m+\u001b[38;2;147;153;178m---\r\n\u001b[39m \u001b[2m13 \u001b[32;22m+\r\n\u001b[39m \u001b[2m14 \u001b[32;22m+\u001b[38;2;147;153;178m#\u001b[38;2;243;139;168m \u001b[38;2;148;226;213mCapistrano deploy через systemd\r\n\u001b[39m \u001b[2m15 \u001b[32;22m+\r\n\u001b[39m \u001b[2m16 \u001b[32;22m+\u001b[38;2;205;214;244mЗаметка про выдачу минимальных \u001b[38;2;147;153;178m`\u001b[38;2;205;214;244msudo\u001b[38;2;147;153;178m`\u001b[38;2;205;214;244m-прав для деплоя Rails-приложения через Capistrano, когда сервис\r\n\u001b[39m \u001b[2m \u001b[38;2;205;214;244;22mы управляются через \u001b[38;2;147;153;178m`\u001b[38;2;205;214;244msystemd\u001b[38;2;147;153;178m`\u001b[38;2;205;214;244m.\r\n\u001b[39m \u001b[2m17 \u001b[32;22m+\r\n\u001b[39m \u001b[2m18 \u001b[32;22m+\u001b[38;2;147;153;178m##\u001b[38;2;250;179;135m \u001b[38;2;148;226;213mSudoers\r\n\u001b[39m \u001b[2m19 \u001b[32;22m+\r\n\u001b[39m \u001b[2m20 \u001b[32;22m+\u001b[38;2;205;214;244mВ \u001b[38;2;147;153;178m`\u001b[38;2;205;214;244m/etc/sudoers\u001b[38;2;147;153;178m`\u001b[38;2;205;214;244m задаётся alias для команд, которые Capistrano может выполнять без пароля:\r\n\u001b[39m \u001b[2m21 \u001b[32;22m+\r\n\u001b[39m \u001b[2m22 \u001b[32;22m+\u001b[38;2;147;153;178m```\u001b[38;2;205;214;244msudoers\r\n\u001b[39m \u001b[2m23 \u001b[32;22m+\u001b[38;2;205;214;244mCmnd_Alias PUMA_CONTROL = /usr/bin/mv /tmp/navigation_backend_puma_production.service /etc/systemd/sy\r\n\u001b[39m \u001b[2m \u001b[38;2;205;214;244;22mstem/, /usr/bin/mv /tmp/navigation_backend_puma_production.socket /etc/systemd/system/, /bin/systemct\r\n\u001b[39m \u001b[2m \u001b[38;2;205;214;244;22ml daemon-reload, /bin/systemctl enable navigation_backend_puma_production, /bin/systemctl start navig\r\n\u001b[39m \u001b[2m \u001b[38;2;205;214;244;22mation_backend_puma_production, /bin/systemctl stop navigation_backend_puma_production, /bin/systemctl\r\n\u001b[39m \u001b[2m \u001b[38;2;205;214;244;22m restart navigation_backend_puma_production, /bin/systemctl enable navigation_backend_puma_production\r\n\u001b[39m \u001b[2m \u001b[38;2;205;214;244;22m.socket, /bin/systemctl restart navigation_backend_sidekiq_production.service, /bin/systemctl restart\r\n\u001b[39m \u001b[2m \u001b[38;2;205;214;244;22m navigation_backend_solid_queue_production.service, /bin/systemctl restart solid_queue\r\n\u001b[39m \u001b[2m24 \u001b[32;22m+\u001b[38;2;205;214;244mdeploy ALL = NOPASSWD: PUMA_CONTROL\r\n\u001b[39m \u001b[2m25 \u001b[32;22m+\u001b[38;2;147;153;178m```\r\n\u001b[39m \u001b[2m26 \u001b[32;22m+\r\n\u001b[39m \u001b[2m27 \u001b[32;22m+\u001b[38;2;205;214;244mГде:\r\n\u001b[39m \u001b[2m28 \u001b[32;22m+\u001b[38;2;147;153;178m-\u001b[38;2;205;214;244m \u001b[38;2;147;153;178m`\u001b[38;2;205;214;244mdeploy\u001b[38;2;147;153;178m`\u001b[38;2;205;214;244m — пользователь, от имени которого выполняется деплой;\r\n\u001b[39m \u001b[2m29 \u001b[32;22m+\u001b[38;2;147;153;178m-\u001b[38;2;205;214;244m \u001b[38;2;147;153;178m`\u001b[38;2;205;214;244mnavigation_backend\u001b[38;2;147;153;178m`\u001b[38;2;205;214;244m — имя приложения в service/socket unit-файлах.\r\n\u001b[39m \u001b[2m30 \u001b[32;22m+\r\n\u001b[39m \u001b[2m31 \u001b[32;22m+\u001b[38;2;147;153;178m##\u001b[38;2;250;179;135m \u001b[38;2;148;226;213mКоманды деплоя\r\n\u001b[39m \u001b[2m32 \u001b[32;22m+\r\n\u001b[39m \u001b[2m33 \u001b[32;22m+\u001b[38;2;147;153;178m```\u001b[38;2;205;214;244mbash\r\n\u001b[39m \u001b[2m34 \u001b[32;22m+\u001b[38;2;137;180;250mcap\u001b[38;2;205;214;244m production puma:install\r\n\u001b[39m \u001b[2m35 \u001b[32;22m+\u001b[38;2;137;180;250mcap\u001b[38;2;205;214;244m production deploy\r\n\u001b[39m \u001b[2m36 \u001b[32;22m+\u001b[38;2;147;153;178m```\r\n\u001b[39m \u001b[2m37 \u001b[32;22m+\r\n\u001b[39m \u001b[2m38 \u001b[32;22m+\u001b[38;2;147;153;178m`\u001b[38;2;205;214;244mpuma:install\u001b[38;2;147;153;178m`\u001b[38;2;205;214;244m кладёт \u001b[38;2;147;153;178m`\u001b[38;2;205;214;244msystemd\u001b[38;2;147;153;178m`\u001b[38;2;205;214;244m unit-файлы, после чего \u001b[38;2;147;153;178m`\u001b[38;2;205;214;244mdeploy\u001b[38;2;147;153;178m`\u001b[38;2;205;214;244m перезапускает Puma и фоновые сервисы\r\n\u001b[39m \u001b[2m \u001b[38;2;205;214;244;22mбез интерактивного ввода пароля.\r\n\u001b[39m \u001b[2m39 \u001b[32;22m+\r\n\u001b[39m \u001b[2m40 \u001b[32;22m+\u001b[38;2;147;153;178m##\u001b[38;2;250;179;135m \u001b[38;2;148;226;213mСвязанные заметки\r\n\u001b[39m \u001b[2m41 \u001b[32;22m+\u001b[38;2;147;153;178m-\u001b[38;2;205;214;244m [[Ruby On Rails]]\r\n\u001b[39m \u001b[2m42 \u001b[32;22m+\u001b[38;2;147;153;178m-\u001b[38;2;205;214;244m [[Sidekiq - основа работы]]\r\n\u001b[0m\u001b[109X\r\n\u001b[2m └ \u001b[0m90 Library/Programming/Ruby On Rails/Ruby On Rails.md (\u001b[32m+3\u001b[0m \u001b[31m-2\u001b[0m)\r\n \u001b[2m 1 \u001b[0m \u001b[38;2;147;153;178m---\r\n\u001b[39;48;5;52m \u001b[2m 2 \u001b[31;22m-\u001b[38;2;205;214;244;2mstatus: stable\u001b[87X\r\n\u001b[39;48;5;22;22m \u001b[2m 2 \u001b[32;22m+\u001b[38;2;205;214;244mstatus: processing\u001b[83X\r\n\u001b[0m \u001b[2m 3 \u001b[0m \u001b[38;2;205;214;244mtype: moc\u001b[92X\r\n\u001b[0m \u001b[2m ⋮\r\n\u001b[0m \u001b[2m 7 \u001b[0m \u001b[38;2;205;214;244mcreated: 2025-12-17\r\n\u001b[39;48;5;52m \u001b[2m 8 \u001b[31;22m-\u001b[38;2;205;214;244;2mupdated: 2026-05-07\u001b[82X\r\n\u001b[39;48;5;22;22m \u001b[2m 8 \u001b[32;22m+\u001b[38;2;205;214;244mupdated: 2026-05-29\u001b[82X\r\n\u001b[0m \u001b[2m 9 \u001b[0m \u001b[38;2;205;214;244mtitle: Ruby On Rails\u001b[81X\r\n\u001b[0m \u001b[2m ⋮\r\n\u001b[0m \u001b[2m16 \u001b[0m \u001b[38;2;147;153;178m-\u001b[38;2;205;214;244m [[API импорт в Rails через runner]]\r\n\u001b[39;48;5;22m \u001b[2m17 \u001b[32;22m+\u001b[38;2;147;153;178m-\u001b[38;2;205;214;244m [[Capistrano deploy через systemd]]\u001b[64X\r\n\u001b[0m \u001b[2m18 \u001b[0m \u001b[38;2;147;153;178m-\u001b[38;2;205;214;244m [[Rails credentials edit не открывает редактор]]\u001b[51X\r\n\r\n\u001b[39;2m─────────────────────────────────────────────────────────────────────────────────────────────────────────────\r\n\r\n• \u001b[0mЧерновые правки внесены. Дальше проверю YAML/ссылки на уровне файлов, перемещу источники в архив и обновлю\r\n \u001b[36mINDEX.md\u001b[0m по правилам vault.\r\n\r\n\u001b[32;1m•\u001b[0m \u001b[1mRan\u001b[0m \u001b[38;2;137;180;250mrtk\u001b[38;2;205;214;244m grep\u001b[38;2;147;153;178m -\u001b[38;2;235;160;172mn\u001b[38;2;205;214;244m \u001b[38;2;166;227;161m\"title:|source:|status:\"\u001b[38;2;205;214;244m \u001b[38;2;166;227;161m'90 Library/Programming/Ruby On Rails/Capistrano deploy через\r\n\u001b[39;2m │ \u001b[38;2;166;227;161;22msystemd.md'\u001b[38;2;205;214;244m \u001b[38;2;166;227;161m'90 Library/Math/Теория нечетких множеств/Нечеткие отношения.md'\u001b[38;2;205;214;244m \u001b[38;2;166;227;161m'90 Library/Math/Теория\r\n\u001b[39;2m │ \u001b[38;2;166;227;161;22mнечетких множеств/Нечеткий вывод.md'\u001b[38;2;205;214;244m \u001b[38;2;166;227;161m'90 Library/Math/Метод анализа иерархий.md'\r\n\u001b[39;2m └ 12 matches in 4F:\r\n\r\n … +18 lines (ctrl + t to view transcript)\r\n\u001b[32;22m•\u001b[0m \u001b[1mRan\u001b[0m \u001b[38;2;137;180;250mrtk\u001b[38;2;205;214;244m git diff\u001b[38;2;148;226;213m --\u001b[38;2;205;214;244m \u001b[38;2;166;227;161m'90 Library/Programming/Ruby On Rails/Ruby On Rails.md'\u001b[38;2;205;214;244m \u001b[38;2;166;227;161m'90 Library/Math/Теория\r\n\u001b[39;2m │ \u001b[38;2;166;227;161;22mнечетких множеств/Теория нечетких множеств.md'\u001b[38;2;205;214;244m \u001b[38;2;166;227;161m'90 Library/Math/Теория нечетких множеств/Функция\r\n\u001b[39;2m │ \u001b[38;2;166;227;161;22mпринадлежности.md'\r\n\u001b[39;2m └ .../Теория нечетких множеств.md | 6 ++++--\r\n\u001b[0m \u001b[2m .../Теория нечетких множеств/Функция принадлежности.md | 17 ++++++++++++++---\r\n … +82 lines (ctrl + t to view transcript)\r\n\r\n\u001b[0m \u001b[2m +3 -2\r\n\r\n\u001b[32;22m•\u001b[0m \u001b[1mRan\u001b[0m \u001b[38;2;137;180;250mrtk\u001b[38;2;205;214;244m git status\u001b[38;2;147;153;178m --\u001b[38;2;235;160;172mshort\r\n\u001b[39;2m └ M .obsidian/workspace.json\r\n\u001b[0m \u001b[2m M \"90 Library/Math/Теория нечетких множеств/Логические операции над нечеткими множествами.md\"\r\n … +6 lines (ctrl + t to view transcript)\r\n\u001b[0m \u001b[2m?? \"90 Library/Math/Теория нечетких множеств/Нечеткий вывод.md\"\r\n\u001b[0m \u001b[2m?? \"90 Library/Programming/Ruby On Rails/Capistrano deploy через systemd.md\"\r\n\r\n\u001b[31;22m•\u001b[0m \u001b[1mRan\u001b[0m \u001b[38;2;137;180;250mrtk\u001b[38;2;205;214;244m grep\u001b[38;2;147;153;178m -\u001b[38;2;235;160;172mn\u001b[38;2;205;214;244m \u001b[38;2;166;227;161m\"generated:|Vault Index|frontmatter|INDEX.md\"\u001b[38;2;147;153;178m -\u001b[38;2;235;160;172mg\u001b[38;2;205;214;244m \u001b[38;2;166;227;161m'*.rb'\u001b[38;2;147;153;178m -\u001b[38;2;235;160;172mg\u001b[38;2;205;214;244m \u001b[38;2;166;227;161m'*.py'\u001b[38;2;147;153;178m -\u001b[38;2;235;160;172mg\u001b[38;2;205;214;244m \u001b[38;2;166;227;161m'*.sh'\u001b[38;2;147;153;178m -\u001b[38;2;235;160;172mg\u001b[38;2;205;214;244m \u001b[38;2;166;227;161m'Makefile'\r\n\u001b[39;2m │ \u001b[38;2;147;153;178;22m-\u001b[38;2;235;160;172mg\u001b[38;2;205;214;244m \u001b[38;2;166;227;161m'justfile'\u001b[38;2;147;153;178m -\u001b[38;2;235;160;172mg\u001b[38;2;205;214;244m \u001b[38;2;166;227;161m'package.json'\u001b[38;2;205;214;244m .\r\n\r\n\u001b[39;2m•\u001b[0m \u001b[1mExplored\r\n\u001b[22;2m └ \u001b[36;22mRead\u001b[0m CLAUDE.md\u001b[2m, \u001b[0mCODEX.md\r\n\r\n\u001b[31;1m•\u001b[0m \u001b[1mRan\u001b[0m \u001b[38;2;137;180;250mrtk\u001b[38;2;205;214;244m find .\u001b[38;2;147;153;178m -\u001b[38;2;235;160;172mpath\u001b[38;2;205;214;244m \u001b[38;2;166;227;161m'./.git'\u001b[38;2;147;153;178m -\u001b[38;2;235;160;172mprune\u001b[38;2;147;153;178m -\u001b[38;2;235;160;172mo\u001b[38;2;147;153;178m -\u001b[38;2;235;160;172mpath\u001b[38;2;205;214;244m \u001b[38;2;166;227;161m'./.obsidian'\u001b[38;2;147;153;178m -\u001b[38;2;235;160;172mprune\u001b[38;2;147;153;178m -\u001b[38;2;235;160;172mo\u001b[38;2;147;153;178m -\u001b[38;2;235;160;172mpath\u001b[38;2;205;214;244m \u001b[38;2;166;227;161m'./.trash'\u001b[38;2;147;153;178m -\u001b[38;2;235;160;172mprune\u001b[38;2;147;153;178m -\u001b[38;2;235;160;172mo\u001b[38;2;147;153;178m -\u001b[38;2;235;160;172mtype\u001b[38;2;205;214;244m f\r\n\u001b[39;2m │ \u001b[38;2;245;194;231;22m\\(\u001b[38;2;147;153;178m -\u001b[38;2;235;160;172mname\u001b[38;2;205;214;244m \u001b[38;2;166;227;161m'*.py'\u001b[38;2;147;153;178m -\u001b[38;2;235;160;172mo\u001b[38;2;147;153;178m -\u001b[38;2;235;160;172mname\u001b[38;2;205;214;244m \u001b[38;2;166;227;161m'*.rb'\u001b[38;2;147;153;178m -\u001b[38;2;235;160;172mo\u001b[38;2;147;153;178m -\u001b[38;2;235;160;172mname\u001b[38;2;205;214;244m \u001b[38;2;166;227;161m'*.sh'\u001b[38;2;147;153;178m -\u001b[38;2;235;160;172mo\u001b[38;2;147;153;178m -\u001b[38;2;235;160;172mname\u001b[38;2;205;214;244m \u001b[38;2;166;227;161m'Makefile'\u001b[38;2;147;153;178m -\u001b[38;2;235;160;172mo\u001b[38;2;147;153;178m -\u001b[38;2;235;160;172mname\u001b[38;2;205;214;244m \u001b[38;2;166;227;161m'justfile'\u001b[38;2;147;153;178m -\u001b[38;2;235;160;172mo\u001b[38;2;147;153;178m -\u001b[38;2;235;160;172mname\r\n\u001b[39;2m │ \u001b[38;2;166;227;161;22m'package.json'\u001b[38;2;205;214;244m \u001b[38;2;245;194;231m\\)\u001b[38;2;147;153;178m -\u001b[38;2;235;160;172mprint\r\n\u001b[39;2m └ rtk: rtk find does not support compound predicates or actions (e.g. -not, -exec). Use `find` directly.\r\n\r\n\u001b[32;22m•\u001b[0m \u001b[1mRan\u001b[0m \u001b[38;2;137;180;250mrtk\u001b[38;2;205;214;244m git diff\u001b[38;2;148;226;213m --\u001b[38;2;205;214;244m \u001b[38;2;166;227;161m'90 Library/Math/Теория нечетких множеств/Логические операции над нечеткими\r\n\u001b[39;2m │ \u001b[38;2;166;227;161;22mмножествами.md'\u001b[38;2;205;214;244m \u001b[38;2;166;227;161m'90 Library/Math/Теория нечетких множеств/Определение нечеткого множества.md'\r\n\u001b[39;2m └ ...огические операции над нечеткими множествами.md | 61 ++++++++++++++++++++--\r\n\u001b[0m \u001b[2m .../Определение нечеткого множества.md | 10 +++-\r\n … +106 lines (ctrl + t to view transcript)\r\n\u001b[0m \u001b[2m 2) $U=\\{a,b,c,d,e\\};\\ A=\\{\\{a,0\\}, \\{b,0.1\\},\\{c,0.5\\},\\{d,0.9\\},\\{e,1\\}\\};$\r\n\u001b[0m \u001b[2m +8 -2\r\n\r\n\u001b[32;22m•\u001b[0m \u001b[1mRan\u001b[0m \u001b[38;2;137;180;250m/usr/bin/find\u001b[38;2;205;214;244m .\u001b[38;2;147;153;178m -\u001b[38;2;235;160;172mpath\u001b[38;2;205;214;244m \u001b[38;2;166;227;161m'./.git'\u001b[38;2;147;153;178m -\u001b[38;2;235;160;172mprune\u001b[38;2;147;153;178m -\u001b[38;2;235;160;172mo\u001b[38;2;147;153;178m -\u001b[38;2;235;160;172mpath\u001b[38;2;205;214;244m \u001b[38;2;166;227;161m'./.obsidian'\u001b[38;2;147;153;178m -\u001b[38;2;235;160;172mprune\u001b[38;2;147;153;178m -\u001b[38;2;235;160;172mo\u001b[38;2;147;153;178m -\u001b[38;2;235;160;172mpath\u001b[38;2;205;214;244m \u001b[38;2;166;227;161m'./.trash'\u001b[38;2;147;153;178m -\u001b[38;2;235;160;172mprune\u001b[38;2;147;153;178m -\u001b[38;2;235;160;172mo\u001b[38;2;147;153;178m -\u001b[38;2;235;160;172mtype\r\n\u001b[39;2m │ \u001b[38;2;205;214;244;22mf \u001b[38;2;245;194;231m\\(\u001b[38;2;147;153;178m -\u001b[38;2;235;160;172mname\u001b[38;2;205;214;244m \u001b[38;2;166;227;161m'*.py'\u001b[38;2;147;153;178m -\u001b[38;2;235;160;172mo\u001b[38;2;147;153;178m -\u001b[38;2;235;160;172mname\u001b[38;2;205;214;244m \u001b[38;2;166;227;161m'*.rb'\u001b[38;2;147;153;178m -\u001b[38;2;235;160;172mo\u001b[38;2;147;153;178m -\u001b[38;2;235;160;172mname\u001b[38;2;205;214;244m \u001b[38;2;166;227;161m'*.sh'\u001b[38;2;147;153;178m -\u001b[38;2;235;160;172mo\u001b[38;2;147;153;178m -\u001b[38;2;235;160;172mname\u001b[38;2;205;214;244m \u001b[38;2;166;227;161m'Makefile'\u001b[38;2;147;153;178m -\u001b[38;2;235;160;172mo\u001b[38;2;147;153;178m -\u001b[38;2;235;160;172mname\u001b[38;2;205;214;244m \u001b[38;2;166;227;161m'justfile'\u001b[38;2;147;153;178m -\u001b[38;2;235;160;172mo\u001b[38;2;147;153;178m -\u001b[38;2;235;160;172mname\r\n\u001b[39;2m │ \u001b[38;2;166;227;161;22m'package.json'\u001b[38;2;205;214;244m \u001b[38;2;245;194;231m\\)\u001b[38;2;147;153;178m -\u001b[38;2;235;160;172mprint\r\n\u001b[39;2m └ (no output)\r\n\r\n•\u001b[0m \u001b[1mExplored\r\n\u001b[22;2m └ \u001b[36;22mRead\u001b[0m Метод анализа иерархий.md\r\n\r\n\u001b[32;1m•\u001b[0m \u001b[1mRan\u001b[0m \u001b[38;2;137;180;250mrtk\u001b[38;2;205;214;244m ls\u001b[38;2;147;153;178m -\u001b[38;2;235;160;172mla\u001b[38;2;205;214;244m \u001b[38;2;166;227;161m'00 Inbox'\r\n\u001b[39;2m └ Команды для деплоя с помощью Capistrano.md 1.0K\r\n\u001b[0m \u001b[2mМИАД_Л1.pdf 1.4M\r\n\u001b[0m \u001b[2mМИАД_Л2.pdf 1.2M\r\n\u001b[0m \u001b[2mМИАД_Л3_нечеткий_вывод.pdf 1.6M\r\n\u001b[0m \u001b[2mМИАД_Л4_иерархии.pdf 1.8M\r\n\r\n\u001b[32;22m•\u001b[0m \u001b[1mRan\u001b[0m \u001b[38;2;137;180;250mrtk\u001b[38;2;205;214;244m ls\u001b[38;2;147;153;178m -\u001b[38;2;235;160;172mla\u001b[38;2;205;214;244m \u001b[38;2;166;227;161m'99 System/Archive'\r\n\u001b[39;2m └ Финансы/\r\n\u001b[0m \u001b[2m099dd81b-27a1-46e5-88fe-20276b442b78.pdf 2.3M\r\n … +74 lines (ctrl + t to view transcript)\r\n\u001b[0m \u001b[2mФункционирование сети Хопфилда.md 2.4K\r\n\u001b[0m \u001b[2mШаблонизатор Helm.md 2.9K\r\n\r\n\u001b[32;22m•\u001b[0m \u001b[1mRan\u001b[0m \u001b[38;2;137;180;250mrtk\u001b[38;2;205;214;244m read \u001b[38;2;166;227;161m'90 Library/Math/Метод анализа иерархий.md'\u001b[38;2;147;153;178m --\u001b[38;2;235;160;172mtail-lines\u001b[38;2;205;214;244m 40\r\n\u001b[39;2m └\r\n\u001b[0m \u001b[2m1. Описать проблему и цель.\r\n … +37 lines (ctrl + t to view transcript)\r\n\u001b[0m \u001b[2m## Связанные заметки\r\n\u001b[0m \u001b[2m- [[Функция принадлежности]]\r\n\r\n\u001b[32;22m•\u001b[0m \u001b[1mRan\u001b[0m \u001b[38;2;137;180;250mmv\u001b[38;2;205;214;244m \u001b[38;2;166;227;161m'00 Inbox/Команды для деплоя с помощью Capistrano.md'\u001b[38;2;205;214;244m \u001b[38;2;166;227;161m'00 Inbox/МИАД_Л1.pdf'\u001b[38;2;205;214;244m \u001b[38;2;166;227;161m'00 Inbox/МИАД_Л2.pdf'\r\n\u001b[39;2m │ \u001b[38;2;166;227;161;22m'00 Inbox/МИАД_Л3_нечеткий_вывод.pdf'\u001b[38;2;205;214;244m \u001b[38;2;166;227;161m'00 Inbox/МИАД_Л4_иерархии.pdf'\u001b[38;2;205;214;244m \u001b[38;2;166;227;161m'99 System/Archive/'\r\n\u001b[39;2m └ | `90 Library/Sport/L-карнитин.md` | L-карнитин | seed | concept | gym, БАД, sport, supplements |\r\n\u001b[0m \u001b[2m| `90 Library/Sport/Креатин.md` | Креатин | seed | concept | gym, БАД, sport |\r\n … +76 lines (ctrl + t to view transcript)\r\n\r\n\u001b[0m \u001b[2m| `GEMINI.md` | GEMINI | — | — | — |\r\n\r\n\u001b[32;22m•\u001b[0m \u001b[1mRan\u001b[0m \u001b[38;2;137;180;250m/usr/bin/find\u001b[38;2;205;214;244m .\u001b[38;2;147;153;178m -\u001b[38;2;235;160;172mmaxdepth\u001b[38;2;205;214;244m 1\u001b[38;2;147;153;178m -\u001b[38;2;235;160;172mtype\u001b[38;2;205;214;244m f\u001b[38;2;147;153;178m -\u001b[38;2;235;160;172mname\u001b[38;2;205;214;244m \u001b[38;2;166;227;161m'*.md'\u001b[38;2;147;153;178m -\u001b[38;2;235;160;172mprint\r\n\u001b[39;2m └ ./CODEX.md\r\n\u001b[0m \u001b[2m./CLAUDE.md\r\n\u001b[0m \u001b[2m./GEMINI.md\r\n\u001b[0m \u001b[2m./AGENTS.md\r\n\u001b[0m \u001b[2m./INDEX.md\r\n\r\n\u001b[32;22m•\u001b[0m \u001b[1mRan\u001b[0m \u001b[38;2;137;180;250mrtk\u001b[38;2;205;214;244m ls\u001b[38;2;147;153;178m -\u001b[38;2;235;160;172mla\u001b[38;2;205;214;244m \u001b[38;2;166;227;161m'00 Inbox'\r\n\u001b[39;2m └ (empty)\r\n\r\n\u001b[32;22m•\u001b[0m \u001b[1mRan\u001b[0m \u001b[38;2;137;180;250mpython\u001b[38;2;205;214;244m - \u001b[38;2;148;226;213m<<\u001b[38;2;166;227;161m'\u001b[38;2;203;166;247mPY\u001b[38;2;166;227;161m'\r\n\u001b[39;2m │ \u001b[38;2;166;227;161;22mfrom pathlib import Path\r\n\u001b[39;2m │ \u001b[38;2;166;227;161;22mfrom collections import defaultdict, Counter\r\n\u001b[39;2m │ … +108 lines\r\n └ (no output)\r\n\r\n•\u001b[0m \u001b[1mExplored\r\n\u001b[22;2m └ \u001b[36;22mRead\u001b[0m INDEX.md\r\n\r\n\u001b[32;1m•\u001b[0m \u001b[1mRan\u001b[0m \u001b[38;2;137;180;250mrtk\u001b[38;2;205;214;244m grep\u001b[38;2;147;153;178m -\u001b[38;2;235;160;172mn\u001b[38;2;205;214;244m \u001b[38;2;166;227;161m\"Capistrano deploy|Нечеткие отношения|Нечеткий вывод|Метод анализа иерархий|Команды для\r\n\u001b[39;2m │ \u001b[38;2;166;227;161;22mдеплоя|МИАД_Л\"\u001b[38;2;205;214;244m INDEX.md\r\n\u001b[39;2m └ 5 matches in 1F:\r\n\r\n … +5 lines (ctrl + t to view transcript)\r\n\u001b[0m \u001b[2m 463: | `99 System/Archive/Команды для деплоя с помощью Capistrano.md` | — | seed |...\r\n\r\n\r\n\u001b[32;22m•\u001b[0m \u001b[1mRan\u001b[0m \u001b[38;2;137;180;250mrtk\u001b[38;2;205;214;244m ls\u001b[38;2;147;153;178m -\u001b[38;2;235;160;172mla\u001b[38;2;205;214;244m \u001b[38;2;166;227;161m'99 System/Archive'\u001b[38;2;205;214;244m \u001b[38;2;148;226;213m|\u001b[38;2;205;214;244m \u001b[38;2;137;180;250mgrep\u001b[38;2;147;153;178m -\u001b[38;2;235;160;172mE\u001b[38;2;205;214;244m \u001b[38;2;166;227;161m'Команды для деплоя|МИАД_Л[1-4]'\r\n\u001b[39;2m └ Команды для деплоя с помощью Capistrano.md 1.0K\r\n\u001b[0m \u001b[2mМИАД_Л1.pdf 1.4M\r\n\u001b[0m \u001b[2mМИАД_Л2.pdf 1.2M\r\n\u001b[0m \u001b[2mМИАД_Л3_нечеткий_вывод.pdf 1.6M\r\n\u001b[0m \u001b[2mМИАД_Л4_иерархии.pdf 1.8M\r\n\r\n\u001b[32;22m•\u001b[0m \u001b[1mRan\u001b[0m \u001b[38;2;137;180;250mrtk\u001b[38;2;205;214;244m ls\u001b[38;2;147;153;178m -\u001b[38;2;235;160;172mla\u001b[38;2;205;214;244m \u001b[38;2;166;227;161m'00 Inbox'\r\n\u001b[39;2m └ (empty)\r\n\r\n\u001b[32;22m•\u001b[0m \u001b[1mRan\u001b[0m \u001b[38;2;137;180;250mrtk\u001b[38;2;205;214;244m git diff\u001b[38;2;147;153;178m --\u001b[38;2;235;160;172mstat\r\n\u001b[39;2m └ .obsidian/workspace.json | 21 +++----\r\n\u001b[0m \u001b[2m .../Команды для деплоя с помощью Capistrano.md | 18 ------\r\n … +9 lines (ctrl + t to view transcript)\r\n\u001b[0m \u001b[2m INDEX.md | 41 ++++++++------\r\n\u001b[0m \u001b[2m 12 files changed, 121 insertions(+), 58 deletions(-)\r\n\r\n\u001b[32;22m•\u001b[0m \u001b[1mRan\u001b[0m \u001b[38;2;137;180;250mrtk\u001b[38;2;205;214;244m grep\u001b[38;2;147;153;178m -\u001b[38;2;235;160;172mn\u001b[38;2;205;214;244m \u001b[38;2;166;227;161m\"### 90 Library|### 99 System|Метод анализа|Нечеткие отношения|Нечеткий вывод|Capistrano|\r\n\u001b[39;2m │ \u001b[38;2;166;227;161;22mКоманды для деплоя\"\u001b[38;2;205;214;244m INDEX.md\r\n\u001b[0m \u001b[2m 463: | `99 System/Archive/Команды для деплоя с помощью Capistrano.md` | — | seed |...\r\n\r\n\r\n\u001b[32;22m•\u001b[0m \u001b[1mRan\u001b[0m \u001b[38;2;137;180;250mrtk\u001b[38;2;205;214;244m git diff\u001b[38;2;148;226;213m --\u001b[38;2;205;214;244m INDEX.md \u001b[38;2;148;226;213m|\u001b[38;2;205;214;244m \u001b[38;2;137;180;250msed\u001b[38;2;147;153;178m -\u001b[38;2;235;160;172mn\u001b[38;2;205;214;244m \u001b[38;2;166;227;161m'1,220p'\r\n\u001b[39;2m └ INDEX.md | 41 +++++++++++++++++++++++------------------\r\n\u001b[0m \u001b[2m 1 file changed, 23 insertions(+), 18 deletions(-)\r\n … +102 lines (ctrl + t to view transcript)\r\n\u001b[0m \u001b[2m | `99 System/Archive/УИР.md` | УИР | seed | concept | — |\r\n\u001b[0m \u001b[2m +23 -18\r\n\r\n\u001b[32;22m•\u001b[0m \u001b[1mRan\u001b[0m \u001b[38;2;137;180;250mrtk\u001b[38;2;205;214;244m git status\u001b[38;2;147;153;178m --\u001b[38;2;235;160;172mshort\r\n\u001b[39;2m └ M .obsidian/workspace.json\r\n\u001b[0m \u001b[2m D \"00 Inbox/Команды для деплоя с помощью Capistrano.md\"\r\n … +17 lines (ctrl + t to view transcript)\r\n\u001b[0m \u001b[2m?? \"99 System/Archive/МИАД_Л3_нечеткий_вывод.pdf\"\r\n\u001b[0m \u001b[2m?? \"99 System/Archive/МИАД_Л4_иерархии.pdf\"\r\n\r\n─────────────────────────────────────────────────────────────────────────────────────────────────────────────\r\n\r\n• \u001b[0mИндекс обновлён: \u001b[36m00 Inbox/\u001b[0m пустой, источники лежат в \u001b[36m99 System/Archive/\u001b[0m, новые заметки попали в \u001b[36mINDEX.md\u001b[0m.\r\n Сейчас сделаю финальную проверку изменённых файлов и ссылок.\r\n\r\n\u001b[2m•\u001b[0m \u001b[1mExplored\r\n\u001b[22;2m └ \u001b[36;22mRead\u001b[0m Capistrano deploy через systemd.md\u001b[2m, \u001b[0mНечеткий вывод.md\r\n\r\n\u001b[32;1m•\u001b[0m \u001b[1mRan\u001b[0m \u001b[38;2;137;180;250mrtk\u001b[38;2;205;214;244m git diff\u001b[38;2;147;153;178m --\u001b[38;2;235;160;172mname-only\r\n\u001b[39;2m └ .obsidian/workspace.json\r\n\u001b[0m \u001b[2m00 Inbox/Команды для деплоя с помощью Capistrano.md\r\n … +11 lines (ctrl + t to view transcript)\r\n\u001b[0m \u001b[2m--- Changes ---\r\n\r\n\r\n\u001b[32;22m•\u001b[0m \u001b[1mRan\u001b[0m \u001b[38;2;137;180;250mrtk\u001b[38;2;205;214;244m grep\u001b[38;2;147;153;178m -\u001b[38;2;235;160;172mn\u001b[38;2;205;214;244m \u001b[38;2;166;227;161m\"\\[\\[(Capistrano deploy через systemd|Нечеткие отношения|Нечеткий вывод|Метод анализа\r\n\u001b[39;2m │ \u001b[38;2;166;227;161;22mиерархий|Ruby On Rails|Теория нечетких множеств|Функция принадлежности)\"\u001b[38;2;205;214;244m \u001b[38;2;166;227;161m'90 Library'\u001b[38;2;205;214;244m INDEX.md\r\n\u001b[39;2m └ 22 matches in 13F:\r\n\r\n … +46 lines (ctrl + t to view transcript)\r\n\u001b[0m \u001b[2m 17: - [[Capistrano deploy через systemd]]\r\n\r\n\r\n\u001b[32;22m•\u001b[0m \u001b[1mRan\u001b[0m \u001b[38;2;137;180;250mpython\u001b[38;2;205;214;244m - \u001b[38;2;148;226;213m<<\u001b[38;2;166;227;161m'\u001b[38;2;203;166;247mPY\u001b[38;2;166;227;161m'\r\n\u001b[39;2m │ \u001b[38;2;166;227;161;22mfrom pathlib import Path\r\n\u001b[39;2m │ \u001b[38;2;166;227;161;22merrors=[]\r\n\u001b[39;2m │ … +19 lines\r\n └ frontmatter ok\r\n\r\n\u001b[32;22m•\u001b[0m \u001b[1mRan\u001b[0m \u001b[38;2;137;180;250mrtk\u001b[38;2;205;214;244m grep\u001b[38;2;147;153;178m -\u001b[38;2;235;160;172mn\u001b[38;2;205;214;244m \u001b[38;2;166;227;161m\"total: 461|Capistrano deploy через systemd|Нечеткие отношения|Нечеткий вывод|Метод анализа\r\n\u001b[39;2m │ \u001b[38;2;166;227;161;22mиерархий|Команды для деплоя с помощью Capistrano\"\u001b[38;2;205;214;244m INDEX.md\r\n\u001b[39;2m └ 6 matches in 2F:\r\n\r\n … +8 lines (ctrl + t to view transcript)\r\n\u001b[0m \u001b[2m 463: | `99 System/Archive/Команды для деплоя с помощью Capistrano.md` | — | seed |...\r\n\r\n\r\n\u001b[32;22m•\u001b[0m \u001b[1mRan\u001b[0m \u001b[38;2;137;180;250mrtk\u001b[38;2;205;214;244m git status\u001b[38;2;147;153;178m --\u001b[38;2;235;160;172mshort\u001b[38;2;147;153;178m --\u001b[38;2;235;160;172muntracked-files\u001b[38;2;148;226;213m=\u001b[38;2;205;214;244mall\r\n\u001b[39;2m └ M .obsidian/workspace.json\r\n\u001b[0m \u001b[2m D \"00 Inbox/Команды для деплоя с помощью Capistrano.md\"\r\n … +17 lines (ctrl + t to view transcript)\r\n\u001b[0m \u001b[2m?? \"99 System/Archive/МИАД_Л3_нечеткий_вывод.pdf\"\r\n\u001b[0m \u001b[2m?? \"99 System/Archive/МИАД_Л4_иерархии.pdf\"\r\n\r\n─────────────────────────────────────────────────────────────────────────────────────────────────────────────\r\n\r\n• \u001b[0mГотово.\r\n\r\n Созданы заметки:\r\n\r\n - \u001b[36m90 Library/Programming/Ruby On Rails/Capistrano deploy через systemd.md\r\n\u001b[0m - \u001b[36m90 Library/Math/Теория нечетких множеств/Нечеткие отношения.md\r\n\u001b[0m - \u001b[36m90 Library/Math/Теория нечетких множеств/Нечеткий вывод.md\r\n\u001b[0m - \u001b[36m90 Library/Math/Метод анализа иерархий.md\r\n\r\n\u001b[0m Дополнены существующие заметки по Л1: \u001b[36mОпределение нечеткого множества\u001b[0m, \u001b[36mФункция принадлежности\u001b[0m, \u001b[36mЛогические\r\n\u001b[0m \u001b[36mоперации над нечеткими множествами\u001b[0m. Обновлены MOC: \u001b[36mТеория нечетких множеств\u001b[0m, \u001b[36mRuby On Rails\u001b[0m.\r\n\r\n Источники перенесены из \u001b[36m00 Inbox/\u001b[0m в \u001b[36m99 System/Archive/\u001b[0m; \u001b[36m00 Inbox/\u001b[0m теперь пустой. \u001b[36mINDEX.md\u001b[0m обновлён, total:\r\n \u001b[36m461\u001b[0m.\r\n\r\n Проверка: frontmatter у изменённых заметок валиден, новые записи есть в \u001b[36mINDEX.md\u001b[0m.\r\n\r\n Не добавлял отдельными заметками: \u001b[36mШкала Саати\u001b[0m, \u001b[36mАлгоритм Мамдани\u001b[0m, \u001b[36mАлгоритм Ларсена\u001b[0m, \u001b[36mЛогика Заде\u001b[0m — пока они\r\n оставлены как разделы внутри основных заметок. В рабочем дереве также есть изменение \u001b[36m.obsidian/\r\n\u001b[0m \u001b[36mworkspace.json\u001b[0m, я его не трогал.\r\n\r\n\u001b[2m─ Worked for 5m 16s ─────────────────────────────────────────────────────────────────────────────────────────\r\n\r\n\u001b[48;5;239;22m \u001b[108X\r\n\u001b[1m›\u001b[22m \u001b[2mFind and fix a bug in @filename\r\n\u001b[0m * Restored history at Fri May 29 2026 10:01:02 GMT+0300 (Москва, стандартное время)\u001b[48;5;239m\r\n\u001b[0m\u001b[2X\u001b[2C\u001b[38;2;246;226;183mgpt-5.5 high\u001b[39;2m · \u001b[38;2;171;223;167;22m~/Documents/Vaults/SecondBrain\u001b[62X\r\n\u001b[38;5;76m❯\u001b[0m \u001b[32mcodex\r\n\u001b[0m󰖟 Proxy enabled (127.0.0.1:2080)\r\n\u001b[2m╭───────────────────────────────────────────────────────────────╮\r\n│ \u001b[36;22m✨ Update available!\u001b[0m \u001b[1m0.133.0 -> 0.134.0\u001b[22;2m │\r\n│ \u001b[0mSee \u001b[36;4mhttps://github.com/openai/codex\u001b[0m for installation options.\u001b[2m │\r\n│ │\r\n\r\n│ │\r\n│ model: \u001b[0mgpt-5.5 high\u001b[2m \u001b[36;22m/model\u001b[39;2m to change │\r\n│ directory: \u001b[0m~/Documents/Vaults/SecondBrain\u001b[2m │\r\n╰────────────────────────────────────────────╯\r\n\r\n\u001b[33;22m⚠ MCP client for `codex_apps` failed to start: MCP startup failed: handshaking with MCP server failed: Send\r\n\u001b[0m \u001b[33mmessage error Transport\r\n\u001b[0m \u001b[33m[rmcp::transport::worker::WorkerTransport>] error: Client error: HTTP request\r\n\u001b[0m \u001b[33mfailed: http/request failed: error sending request for url (https://chatgpt.com/backend-api/wham/apps),\r\n\u001b[0m \u001b[33mwhen send initialize request\r\n\r\n⚠ MCP startup incomplete (failed: codex_apps)\r\n\u001b[39;48;5;239m Отправь в Inbox\u001b[91X\r\n\u001b[33;49m⚠ Falling back from WebSockets to HTTPS transport. stream disconnected before completion: tls handshake eof\u001b[2X\r\n\r\n\u001b[31m■ stream disconnected before completion: error sending request for url\r\n(https://chatgpt.com/backend-api/codex/responses)\r\n\r\n\u001b[39;48;5;239m\u001b[109X\r\n\r\n\u001b[0m\u001b[109X\r\n - Шаблон: \u001b[36mBase Note.md\r\n\u001b[0m - Frontmatter: \u001b[36mstatus: seed\u001b[0m, \u001b[36mtype: knowledge\u001b[0m, \u001b[36mtags: [math, fuzzy-logic]\r\n\u001b[0m - Разделы: определение, схема нечеткого вывода, Mamdani, Sugeno, основные формулы, дефаззификация, краткое\r\n сравнение.\r\n - Перед созданием прочитаю \u001b[36mINDEX.md\u001b[0m, чтобы не продублировать близкую заметку и добавить осмысленные\r\n \u001b[36m[[wikilinks]]\u001b[0m.\r\n - После создания обновлю \u001b[36mINDEX.md\u001b[0m.\r\n\r\n Подтверди, и я создам заметку в \u001b[36m00 Inbox/\u001b[0m.План: создам одну заметку в \u001b[36m00 Inbox/\u001b[0m по теме «Краткая теория с\r\n важными формулами по нечетким выводам», с frontmatter, краткой теорией, основными формулами Mamdani/Sugeno\r\n и осмысленными wikilinks после проверки \u001b[36mINDEX.md\u001b[0m. Дубль запроса игнорирую.\r\n\r\n Подтверди, и я создам файл в Inbox.\r\n\r\n\u001b[2m• \u001b[0mПодтверди создание заметки в \u001b[36m00 Inbox/\u001b[0m.\r\n\r\n\u001b[48;5;239m\u001b[109X\r\n\u001b[1;2m› \u001b[22;22mДавай\r\n\r\n\u001b[0m\u001b[109X\r\n\u001b[2m• \u001b[0mСмотрю \u001b[36mINDEX.md\u001b[0m и шаблон \u001b[36mBase Note.md\u001b[0m, чтобы не создать дубль и сохранить формат vault.\r\n\r\n\u001b[32;1m•\u001b[0m \u001b[1mRan\u001b[0m \u001b[38;2;137;180;250mrtk\u001b[38;2;205;214;244m ls\u001b[38;2;147;153;178m -\u001b[38;2;235;160;172mla\u001b[38;2;205;214;244m \u001b[38;2;166;227;161m'00 Inbox'\r\n\u001b[39;2m └ (empty)\r\n\r\n─────────────────────────────────────────────────────────────────────────────────────────────────────────────\r\n\r\n• \u001b[0mВ видимой части индекса есть раздел \u001b[36m90 Library/Math\u001b[0m; сейчас точечно проверю совпадения по нечеткой логике и\r\n затем запишу заметку в Inbox.\r\n\r\n\u001b[32;1m•\u001b[0m \u001b[1mRan\u001b[0m \u001b[38;2;137;180;250mrtk\u001b[38;2;205;214;244m grep\u001b[38;2;147;153;178m -\u001b[38;2;235;160;172mn\u001b[38;2;205;214;244m \u001b[38;2;166;227;161m\"Неч[её]тк|Fuzzy|fuzzy|вывод|Мамдани|Sugeno|Сугено\"\u001b[38;2;205;214;244m INDEX.md\r\n\u001b[39;2m └ 9 matches in 1F:\r\n\r\n … +9 lines (ctrl + t to view transcript)\r\n\u001b[0m \u001b[2m 472: | `99 System/Archive/Обратное распространение ошибки - вывод.md` | Обратное р...\r\n\r\n\r\n\u001b[32;22m•\u001b[0m \u001b[1mRan\u001b[0m \u001b[38;2;137;180;250mrtk\u001b[38;2;205;214;244m grep\u001b[38;2;147;153;178m -\u001b[38;2;235;160;172mn\u001b[38;2;205;214;244m \u001b[38;2;166;227;161m\"90 Library/Math\"\u001b[38;2;205;214;244m INDEX.md\r\n\u001b[39;2m └ 74 matches in 1F:\r\n\r\n … +27 lines (ctrl + t to view transcript)\r\n\r\n\u001b[0m \u001b[2m... +49\r\n\r\n•\u001b[0m \u001b[1mExplored\r\n\u001b[22;2m └ \u001b[36;22mRead\u001b[0m Нечеткий вывод.md\u001b[2m, \u001b[0mINDEX.md\u001b[2m, \u001b[0mТеория нечетких множеств.md\r\n\r\n\u001b[2m─────────────────────────────────────────────────────────────────────────────────────────────────────────────\r\n\r\n• \u001b[0mНашёл уже существующую заметку \u001b[36m[[Нечеткий вывод]]\u001b[0m; новую сделаю как краткую шпаргалку в \u001b[36m00 Inbox/\u001b[0m, со\r\n ссылками на существующий раздел. После этого точечно обновлю \u001b[36mINDEX.md\u001b[0m.\r\n\r\n\u001b[2m• \u001b[0mEdited 2 files (\u001b[32m+200\u001b[0m \u001b[31m-3\u001b[0m)\r\n\u001b[2m └ \u001b[0m00 Inbox/Краткая теория с важными формулами по нечетким выводам.md (\u001b[32m+193\u001b[0m \u001b[31m-0\u001b[0m)\r\n\u001b[48;5;22m \u001b[2m 1 \u001b[32;22m+\u001b[38;2;147;153;178m---\u001b[97X\r\n\u001b[39m \u001b[2m 2 \u001b[32;22m+\u001b[38;2;205;214;244mstatus: seed\r\n\u001b[39m \u001b[2m 3 \u001b[32;22m+\u001b[38;2;205;214;244mtype: concept\r\n\u001b[39m \u001b[2m 4 \u001b[32;22m+\u001b[38;2;205;214;244mtags:\r\n\u001b[39m \u001b[2m 5 \u001b[32;22m+\u001b[38;2;205;214;244m \u001b[38;2;147;153;178m-\u001b[38;2;205;214;244m math\r\n\u001b[39m \u001b[2m 6 \u001b[32;22m+\u001b[38;2;205;214;244m \u001b[38;2;147;153;178m-\u001b[38;2;205;214;244m mephi\r\n\u001b[39m \u001b[2m 7 \u001b[32;22m+\u001b[38;2;205;214;244m \u001b[38;2;147;153;178m-\u001b[38;2;205;214;244m fuzzy-sets\r\n\u001b[39m \u001b[2m 8 \u001b[32;22m+\u001b[38;2;205;214;244mcreated: 2026-05-29\r\n\u001b[39m \u001b[2m 9 \u001b[32;22m+\u001b[38;2;205;214;244mupdated: 2026-05-29\r\n\u001b[39m \u001b[2m 10 \u001b[32;22m+\u001b[38;2;205;214;244mtitle: Краткая теория с важными формулами по нечетким выводам\r\n\u001b[39m \u001b[2m 11 \u001b[32;22m+\u001b[38;2;147;153;178m---\r\n\u001b[39m \u001b[2m 12 \u001b[32;22m+\r\n\u001b[39m \u001b[2m 13 \u001b[32;22m+\u001b[38;2;147;153;178m#\u001b[38;2;243;139;168m \u001b[38;2;148;226;213mКраткая теория с важными формулами по нечетким выводам\r\n\u001b[39m \u001b[2m 14 \u001b[32;22m+\r\n\u001b[39m \u001b[2m 15 \u001b[32;22m+\u001b[38;2;205;214;244mНечеткий вывод — способ получить заключение из правил вида «если ..., то ...», когда входы, условия\r\n\u001b[39m \u001b[2m \u001b[38;2;205;214;244;22mи выводы описаны через степени принадлежности, а не через строгие булевы значения.\r\n\u001b[39m \u001b[2m 16 \u001b[32;22m+\r\n\u001b[39m \u001b[2m 17 \u001b[32;22m+\u001b[38;2;205;214;244mБазовая идея: четкие входы переводятся в степени принадлежности, правила активируются с разной силой\r\n\u001b[39m \u001b[2m \u001b[38;2;205;214;244;22m, их выводы объединяются, а при необходимости результат переводится обратно в четкое число.\r\n\u001b[39m \u001b[2m 18 \u001b[32;22m+\r\n\u001b[39m \u001b[2m 19 \u001b[32;22m+\u001b[38;2;205;214;244mСвязано: [[Нечеткий вывод]], [[Теория нечетких множеств]], [[Функция принадлежности]], [[Нечеткие от\r\n\u001b[39m \u001b[2m \u001b[38;2;205;214;244;22mношения]], [[Логические операции над нечеткими множествами]].\r\n\u001b[39m \u001b[2m 20 \u001b[32;22m+\r\n\u001b[39m \u001b[2m 21 \u001b[32;22m+\u001b[38;2;147;153;178m##\u001b[38;2;250;179;135m \u001b[38;2;148;226;213mНечеткое множество\r\n\u001b[39m \u001b[2m 22 \u001b[32;22m+\r\n\u001b[39m \u001b[2m 23 \u001b[32;22m+\u001b[38;2;205;214;244mНечеткое множество $A$ на универсуме $X$ задается функцией принадлежности:\r\n\u001b[39m \u001b[2m 24 \u001b[32;22m+\r\n\u001b[39m \u001b[2m 25 \u001b[32;22m+\u001b[38;2;205;214;244m$$\r\n\u001b[39m \u001b[2m 26 \u001b[32;22m+\u001b[38;2;205;214;244m\\mu_A: X \\to [0, 1]\r\n\u001b[39m \u001b[2m 27 \u001b[32;22m+\u001b[38;2;205;214;244m$$\r\n\u001b[39m \u001b[2m 28 \u001b[32;22m+\r\n\u001b[39m \u001b[2m 29 \u001b[32;22m+\u001b[38;2;205;214;244mгде $\\mu_A(x)$ — степень принадлежности элемента $x$ множеству $A$.\r\n\u001b[39m \u001b[2m 30 \u001b[32;22m+\r\n\u001b[39m \u001b[2m 31 \u001b[32;22m+\u001b[38;2;205;214;244mКлассическая запись:\r\n\u001b[39m \u001b[2m 32 \u001b[32;22m+\r\n\u001b[39m \u001b[2m 33 \u001b[32;22m+\u001b[38;2;205;214;244m$$\r\n\u001b[39m \u001b[2m 34 \u001b[32;22m+\u001b[38;2;205;214;244mA = \u001b[38;2;245;194;231m\\{\u001b[38;2;205;214;244m(x, \\mu_A(x)) \\mid x \\in X\u001b[38;2;245;194;231m\\}\r\n\u001b[39m \u001b[2m 35 \u001b[32;22m+\u001b[38;2;205;214;244m$$\r\n\u001b[39m \u001b[2m 36 \u001b[32;22m+\r\n\u001b[39m \u001b[2m 37 \u001b[32;22m+\u001b[38;2;147;153;178m##\u001b[38;2;250;179;135m \u001b[38;2;148;226;213mПравило нечеткого вывода\r\n\u001b[39m \u001b[2m 38 \u001b[32;22m+\r\n\u001b[39m \u001b[2m 39 \u001b[32;22m+\u001b[38;2;205;214;244mТиповое правило:\r\n\u001b[39m \u001b[2m 40 \u001b[32;22m+\r\n\u001b[39m \u001b[2m 41 \u001b[32;22m+\u001b[38;2;205;214;244m$$\r\n\u001b[39m \u001b[2m 42 \u001b[32;22m+\u001b[38;2;205;214;244mR_i: \\text{если } x_1 \\text{ есть } A_{i1} \\land \\dots \\land x_n \\text{ есть } A_{in}, \\text{ то } y\r\n\u001b[39m \u001b[2m \u001b[38;2;205;214;244;22m \\text{ есть } B_i\r\n\u001b[39m \u001b[2m 43 \u001b[32;22m+\u001b[38;2;205;214;244m$$\r\n\u001b[39m \u001b[2m 44 \u001b[32;22m+\r\n\u001b[39m \u001b[2m 45 \u001b[32;22m+\u001b[38;2;205;214;244mДля четкого входа $x^* = (x_1^\u001b[38;2;147;153;178m*\u001b[38;2;243;139;168m, \\dots, x_n^\u001b[38;2;147;153;178m*\u001b[38;2;205;214;244m)$ сначала считаются степени выполнения условий:\r\n\u001b[39m \u001b[2m 46 \u001b[32;22m+\r\n\u001b[39m \u001b[2m 47 \u001b[32;22m+\u001b[38;2;205;214;244m$$\r\n\u001b[39m \u001b[2m 48 \u001b[32;22m+\u001b[38;2;205;214;244m\\mu_{A_{ij}}(x_j^\u001b[38;2;147;153;178m*\u001b[38;2;243;139;168m)\r\n\u001b[39m \u001b[2m 49 \u001b[32;22m+\u001b[38;2;243;139;168m$$\r\n\u001b[39m \u001b[2m 50 \u001b[32;22m+\r\n\u001b[39m \u001b[2m 51 \u001b[32;22m+\u001b[38;2;205;214;244mСила активации правила:\r\n\u001b[39m \u001b[2m 52 \u001b[32;22m+\r\n\u001b[39m \u001b[2m 53 \u001b[32;22m+\u001b[38;2;205;214;244m$$\r\n\u001b[39m \u001b[2m 54 \u001b[32;22m+\u001b[38;2;205;214;244m\\alpha_i = T(\\mu_{A_{i1}}(x_1^\u001b[38;2;147;153;178m*\u001b[38;2;243;139;168m), \\dots, \\mu_{A_{in}}(x_n^\u001b[38;2;147;153;178m*\u001b[38;2;205;214;244m))\r\n\u001b[39m \u001b[2m 55 \u001b[32;22m+\u001b[38;2;205;214;244m$$\r\n\u001b[39m \u001b[2m 56 \u001b[32;22m+\r\n\u001b[39m \u001b[2m 57 \u001b[32;22m+\u001b[38;2;205;214;244mгде $T$ — t-норма. Частые варианты:\r\n\u001b[39m \u001b[2m 58 \u001b[32;22m+\r\n\u001b[39m \u001b[2m 59 \u001b[32;22m+\u001b[38;2;205;214;244m$$\r\n\u001b[39m \u001b[2m 60 \u001b[32;22m+\u001b[38;2;205;214;244mT(a, b) = \\min(a, b)\r\n\u001b[39m \u001b[2m 61 \u001b[32;22m+\u001b[38;2;205;214;244m$$\r\n\u001b[39m \u001b[2m 62 \u001b[32;22m+\r\n\u001b[39m \u001b[2m 63 \u001b[32;22m+\u001b[38;2;205;214;244m$$\r\n\u001b[39m \u001b[2m 64 \u001b[32;22m+\u001b[38;2;205;214;244mT(a, b) = a \\cdot b\r\n\u001b[39m \u001b[2m 65 \u001b[32;22m+\u001b[38;2;205;214;244m$$\r\n\u001b[39m \u001b[2m 66 \u001b[32;22m+\r\n\u001b[39m \u001b[2m 67 \u001b[32;22m+\u001b[38;2;205;214;244mДля дизъюнкции часто используют s-норму:\r\n\u001b[39m \u001b[2m 68 \u001b[32;22m+\r\n\u001b[39m \u001b[2m 69 \u001b[32;22m+\u001b[38;2;205;214;244m$$\r\n\u001b[39m \u001b[2m 70 \u001b[32;22m+\u001b[38;2;205;214;244mS(a, b) = \\max(a, b)\r\n\u001b[39m \u001b[2m 71 \u001b[32;22m+\u001b[38;2;205;214;244m$$\r\n\u001b[39m \u001b[2m 72 \u001b[32;22m+\r\n\u001b[39m \u001b[2m 73 \u001b[32;22m+\u001b[38;2;205;214;244mили\r\n\u001b[39m \u001b[2m 74 \u001b[32;22m+\r\n\u001b[39m \u001b[2m 75 \u001b[32;22m+\u001b[38;2;205;214;244m$$\r\n\u001b[39m \u001b[2m 76 \u001b[32;22m+\u001b[38;2;205;214;244mS(a, b) = a + b - ab\r\n\u001b[39m \u001b[2m 77 \u001b[32;22m+\u001b[38;2;205;214;244m$$\r\n\u001b[39m \u001b[2m 78 \u001b[32;22m+\r\n\u001b[39m \u001b[2m 79 \u001b[32;22m+\u001b[38;2;147;153;178m##\u001b[38;2;250;179;135m \u001b[38;2;148;226;213mСхема нечеткого вывода\r\n\u001b[39m \u001b[2m 80 \u001b[32;22m+\r\n\u001b[39m \u001b[2m 81 \u001b[32;22m+\u001b[38;2;205;214;244m1\u001b[38;2;147;153;178m.\u001b[38;2;205;214;244m Фаззификация — вычислить степени принадлежности входов термам.\r\n\u001b[39m \u001b[2m 82 \u001b[32;22m+\u001b[38;2;205;214;244m2\u001b[38;2;147;153;178m.\u001b[38;2;205;214;244m Агрегация условий — получить силу активации каждого правила $\\alpha_i$.\r\n\u001b[39m \u001b[2m 83 \u001b[32;22m+\u001b[38;2;205;214;244m3\u001b[38;2;147;153;178m.\u001b[38;2;205;214;244m Импликация — применить $\\alpha_i$ к заключению правила.\r\n\u001b[39m \u001b[2m 84 \u001b[32;22m+\u001b[38;2;205;214;244m4\u001b[38;2;147;153;178m.\u001b[38;2;205;214;244m Аккумуляция — объединить результаты всех правил.\r\n\u001b[39m \u001b[2m 85 \u001b[32;22m+\u001b[38;2;205;214;244m5\u001b[38;2;147;153;178m.\u001b[38;2;205;214;244m Дефаззификация — получить четкое значение, если оно нужно.\r\n\u001b[39m \u001b[2m 86 \u001b[32;22m+\r\n\u001b[39m \u001b[2m 87 \u001b[32;22m+\u001b[38;2;147;153;178m##\u001b[38;2;250;179;135m \u001b[38;2;148;226;213mМамдани\r\n\u001b[39m \u001b[2m 88 \u001b[32;22m+\r\n\u001b[39m \u001b[2m 89 \u001b[32;22m+\u001b[38;2;205;214;244mВ выводе Мамдани заключение правила остается нечетким множеством.\r\n\u001b[39m \u001b[2m 90 \u001b[32;22m+\r\n\u001b[39m \u001b[2m 91 \u001b[32;22m+\u001b[38;2;205;214;244mИмпликация через минимум:\r\n\u001b[39m \u001b[2m 92 \u001b[32;22m+\r\n\u001b[39m \u001b[2m 93 \u001b[32;22m+\u001b[38;2;205;214;244m$$\r\n\u001b[39m \u001b[2m 94 \u001b[32;22m+\u001b[38;2;205;214;244m\\mu_{B_i'}(y) = \\min(\\alpha_i, \\mu_{B_i}(y))\r\n\u001b[39m \u001b[2m 95 \u001b[32;22m+\u001b[38;2;205;214;244m$$\r\n\u001b[39m \u001b[2m 96 \u001b[32;22m+\r\n\u001b[39m \u001b[2m 97 \u001b[32;22m+\u001b[38;2;205;214;244mОбъединение правил через максимум:\r\n\u001b[39m \u001b[2m 98 \u001b[32;22m+\r\n\u001b[39m \u001b[2m 99 \u001b[32;22m+\u001b[38;2;205;214;244m$$\r\n\u001b[39m \u001b[2m100 \u001b[32;22m+\u001b[38;2;205;214;244m\\mu_B(y) = \\max_i \\mu_{B_i'}(y)\r\n\u001b[39m \u001b[2m101 \u001b[32;22m+\u001b[38;2;205;214;244m$$\r\n\u001b[39m \u001b[2m102 \u001b[32;22m+\r\n\u001b[39m \u001b[2m103 \u001b[32;22m+\u001b[38;2;205;214;244mЦентроидная дефаззификация:\r\n\u001b[39m \u001b[2m104 \u001b[32;22m+\r\n\u001b[39m \u001b[2m105 \u001b[32;22m+\u001b[38;2;205;214;244m$$\r\n\u001b[39m \u001b[2m106 \u001b[32;22m+\u001b[38;2;205;214;244my^* = \\frac{\\int_Y y \\mu_B(y) dy}{\\int_Y \\mu_B(y) dy}\r\n\u001b[39m \u001b[2m107 \u001b[32;22m+\u001b[38;2;205;214;244m$$\r\n\u001b[39m \u001b[2m108 \u001b[32;22m+\r\n\u001b[39m \u001b[2m109 \u001b[32;22m+\u001b[38;2;205;214;244mДля дискретного универсума:\r\n\u001b[39m \u001b[2m110 \u001b[32;22m+\r\n\u001b[39m \u001b[2m111 \u001b[32;22m+\u001b[38;2;205;214;244m$$\r\n\u001b[39m \u001b[2m112 \u001b[32;22m+\u001b[38;2;205;214;244my^* = \\frac{\\sum_k y_k \\mu_B(y_k)}{\\sum_k \\mu_B(y_k)}\r\n\u001b[39m \u001b[2m113 \u001b[32;22m+\u001b[38;2;205;214;244m$$\r\n\u001b[39m \u001b[2m114 \u001b[32;22m+\r\n\u001b[39m \u001b[2m115 \u001b[32;22m+\u001b[38;2;205;214;244mМамдани удобен, когда важно получить интерпретируемые правила с лингвистическими заключениями.\r\n\u001b[39m \u001b[2m116 \u001b[32;22m+\r\n\u001b[39m \u001b[2m117 \u001b[32;22m+\u001b[38;2;147;153;178m##\u001b[38;2;250;179;135m \u001b[38;2;148;226;213mЛарсен\r\n\u001b[39m \u001b[2m118 \u001b[32;22m+\r\n\u001b[39m \u001b[2m119 \u001b[32;22m+\u001b[38;2;205;214;244mВ импликации Ларсена заключение не отсекается, а масштабируется:\r\n\u001b[39m \u001b[2m120 \u001b[32;22m+\r\n\u001b[39m \u001b[2m121 \u001b[32;22m+\u001b[38;2;205;214;244m$$\r\n\u001b[39m \u001b[2m122 \u001b[32;22m+\u001b[38;2;205;214;244m\\mu_{B_i'}(y) = \\alpha_i \\cdot \\mu_{B_i}(y)\r\n\u001b[39m \u001b[2m123 \u001b[32;22m+\u001b[38;2;205;214;244m$$\r\n\u001b[39m \u001b[2m124 \u001b[32;22m+\r\n\u001b[39m \u001b[2m125 \u001b[32;22m+\u001b[38;2;205;214;244mДальше результаты правил обычно объединяются максимумом:\r\n\u001b[39m \u001b[2m126 \u001b[32;22m+\r\n\u001b[39m \u001b[2m127 \u001b[32;22m+\u001b[38;2;205;214;244m$$\r\n\u001b[39m \u001b[2m128 \u001b[32;22m+\u001b[38;2;205;214;244m\\mu_B(y) = \\max_i \\mu_{B_i'}(y)\r\n\u001b[39m \u001b[2m129 \u001b[32;22m+\u001b[38;2;205;214;244m$$\r\n\u001b[39m \u001b[2m130 \u001b[32;22m+\r\n\u001b[39m \u001b[2m131 \u001b[32;22m+\u001b[38;2;147;153;178m##\u001b[38;2;250;179;135m \u001b[38;2;148;226;213mСугено\r\n\u001b[39m \u001b[2m132 \u001b[32;22m+\r\n\u001b[39m \u001b[2m133 \u001b[32;22m+\u001b[38;2;205;214;244mВ выводе Сугено заключение правила — четкая функция входов:\r\n\u001b[39m \u001b[2m134 \u001b[32;22m+\r\n\u001b[39m \u001b[2m135 \u001b[32;22m+\u001b[38;2;205;214;244m$$\r\n\u001b[39m \u001b[2m136 \u001b[32;22m+\u001b[38;2;205;214;244mR_i: \\text{если } x \\text{ есть } A_i, \\text{ то } z_i = f_i(x)\r\n\u001b[39m \u001b[2m137 \u001b[32;22m+\u001b[38;2;205;214;244m$$\r\n\u001b[39m \u001b[2m138 \u001b[32;22m+\r\n\u001b[39m \u001b[2m139 \u001b[32;22m+\u001b[38;2;205;214;244mЧастый вариант первого порядка:\r\n\u001b[39m \u001b[2m140 \u001b[32;22m+\r\n\u001b[39m \u001b[2m141 \u001b[32;22m+\u001b[38;2;205;214;244m$$\r\n\u001b[39m \u001b[2m142 \u001b[32;22m+\u001b[38;2;205;214;244mz_i = p_{i0} + p_{i1}x_1 + \\dots + p_{in}x_n\r\n\u001b[39m \u001b[2m143 \u001b[32;22m+\u001b[38;2;205;214;244m$$\r\n\u001b[39m \u001b[2m144 \u001b[32;22m+\r\n\u001b[39m \u001b[2m145 \u001b[32;22m+\u001b[38;2;205;214;244mИтог:\r\n\u001b[39m \u001b[2m146 \u001b[32;22m+\r\n\u001b[39m \u001b[2m147 \u001b[32;22m+\u001b[38;2;205;214;244m$$\r\n\u001b[39m \u001b[2m148 \u001b[32;22m+\u001b[38;2;205;214;244mz^* = \\frac{\\sum_i \\alpha_i z_i}{\\sum_i \\alpha_i}\r\n\u001b[39m \u001b[2m149 \u001b[32;22m+\u001b[38;2;205;214;244m$$\r\n\u001b[39m \u001b[2m150 \u001b[32;22m+\r\n\u001b[39m \u001b[2m151 \u001b[32;22m+\u001b[38;2;205;214;244mЕсли $z_i$ — константа, получается Сугено нулевого порядка.\r\n\u001b[39m \u001b[2m152 \u001b[32;22m+\r\n\u001b[39m \u001b[2m153 \u001b[32;22m+\u001b[38;2;147;153;178m##\u001b[38;2;250;179;135m \u001b[38;2;148;226;213mЦукамото\r\n\u001b[39m \u001b[2m154 \u001b[32;22m+\r\n\u001b[39m \u001b[2m155 \u001b[32;22m+\u001b[38;2;205;214;244mВ методе Цукамото заключения правил должны иметь монотонные функции принадлежности. Для каждого прав\r\n\u001b[39m \u001b[2m \u001b[38;2;205;214;244;22mила находится четкое значение $z_i$ из условия:\r\n\u001b[39m \u001b[2m156 \u001b[32;22m+\r\n\u001b[39m \u001b[2m157 \u001b[32;22m+\u001b[38;2;205;214;244m$$\r\n\u001b[39m \u001b[2m158 \u001b[32;22m+\u001b[38;2;205;214;244m\\mu_{B_i}(z_i) = \\alpha_i\r\n\u001b[39m \u001b[2m159 \u001b[32;22m+\u001b[38;2;205;214;244m$$\r\n\u001b[39m \u001b[2m160 \u001b[32;22m+\r\n\u001b[39m \u001b[2m161 \u001b[32;22m+\u001b[38;2;205;214;244mИтоговое значение:\r\n\u001b[39m \u001b[2m162 \u001b[32;22m+\r\n\u001b[39m \u001b[2m163 \u001b[32;22m+\u001b[38;2;205;214;244m$$\r\n\u001b[39m \u001b[2m164 \u001b[32;22m+\u001b[38;2;205;214;244mz^* = \\frac{\\sum_i \\alpha_i z_i}{\\sum_i \\alpha_i}\r\n\u001b[39m \u001b[2m165 \u001b[32;22m+\u001b[38;2;205;214;244m$$\r\n\u001b[39m \u001b[2m166 \u001b[32;22m+\r\n\u001b[39m \u001b[2m167 \u001b[32;22m+\u001b[38;2;147;153;178m##\u001b[38;2;250;179;135m \u001b[38;2;148;226;213mКомпозиционное правило вывода\r\n\u001b[39m \u001b[2m168 \u001b[32;22m+\r\n\u001b[39m \u001b[2m169 \u001b[32;22m+\u001b[38;2;205;214;244mЕсли $A$ — нечеткое множество на $X$, а $R$ — нечеткое отношение на $X \\times Y$, то вывод:\r\n\u001b[39m \u001b[2m170 \u001b[32;22m+\r\n\u001b[39m \u001b[2m171 \u001b[32;22m+\u001b[38;2;205;214;244m$$\r\n\u001b[39m \u001b[2m172 \u001b[32;22m+\u001b[38;2;205;214;244mB = A \\circ R\r\n\u001b[39m \u001b[2m173 \u001b[32;22m+\u001b[38;2;205;214;244m$$\r\n\u001b[39m \u001b[2m174 \u001b[32;22m+\r\n\u001b[39m \u001b[2m175 \u001b[32;22m+\u001b[38;2;205;214;244mМаксиминная композиция:\r\n\u001b[39m \u001b[2m176 \u001b[32;22m+\r\n\u001b[39m \u001b[2m177 \u001b[32;22m+\u001b[38;2;205;214;244m$$\r\n\u001b[39m \u001b[2m178 \u001b[32;22m+\u001b[38;2;205;214;244m\\mu_B(y) = \\max_{x \\in X} \\min(\\mu_A(x), \\mu_R(x, y))\r\n\u001b[39m \u001b[2m179 \u001b[32;22m+\u001b[38;2;205;214;244m$$\r\n\u001b[39m \u001b[2m180 \u001b[32;22m+\r\n\u001b[39m \u001b[2m181 \u001b[32;22m+\u001b[38;2;205;214;244mМакс-произведение:\r\n\u001b[39m \u001b[2m182 \u001b[32;22m+\r\n\u001b[39m \u001b[2m183 \u001b[32;22m+\u001b[38;2;205;214;244m$$\r\n\u001b[39m \u001b[2m184 \u001b[32;22m+\u001b[38;2;205;214;244m\\mu_B(y) = \\max_{x \\in X} \\mu_A(x) \\cdot \\mu_R(x, y)\r\n\u001b[39m \u001b[2m185 \u001b[32;22m+\u001b[38;2;205;214;244m$$\r\n\u001b[39m \u001b[2m186 \u001b[32;22m+\r\n\u001b[39m \u001b[2m187 \u001b[32;22m+\u001b[38;2;147;153;178m##\u001b[38;2;250;179;135m \u001b[38;2;148;226;213mЧто запомнить\r\n\u001b[39m \u001b[2m188 \u001b[32;22m+\r\n\u001b[39m \u001b[2m189 \u001b[32;22m+\u001b[38;2;147;153;178m-\u001b[38;2;205;214;244m Мамдани: нечеткое заключение, минимум для импликации, максимум для объединения, затем дефаззификац\r\n\u001b[39m \u001b[2m \u001b[38;2;205;214;244;22mия.\r\n\u001b[39m \u001b[2m190 \u001b[32;22m+\u001b[38;2;147;153;178m-\u001b[38;2;205;214;244m Ларсен: заключение масштабируется произведением.\r\n\u001b[39m \u001b[2m191 \u001b[32;22m+\u001b[38;2;147;153;178m-\u001b[38;2;205;214;244m Сугено: заключение — формула или константа, итог — взвешенное среднее.\r\n\u001b[39m \u001b[2m192 \u001b[32;22m+\u001b[38;2;147;153;178m-\u001b[38;2;205;214;244m Цукамото: монотонные заключения, каждое правило дает четкий результат.\r\n\u001b[39m \u001b[2m193 \u001b[32;22m+\u001b[38;2;147;153;178m-\u001b[38;2;205;214;244m Главная формула силы правила: $\\alpha_i = T(\\mu_{A_{i1}}(x_1^\u001b[38;2;147;153;178m*\u001b[38;2;243;139;168m), \\dots, \\mu_{A_{in}}(x_n^\u001b[38;2;147;153;178m*\u001b[38;2;205;214;244m))$.\r\n\u001b[0m\u001b[109X\r\n\u001b[2m └ \u001b[0mINDEX.md (\u001b[32m+7\u001b[0m \u001b[31m-3\u001b[0m)\r\n \u001b[2m 2 \u001b[0m \u001b[38;2;205;214;244mgenerated: 2026-05-29\r\n\u001b[0m \u001b[2m ⋮\r\n\u001b[0m \u001b[2m13 \u001b[0m \u001b[38;2;147;153;178m|\u001b[38;2;205;214;244m----------\u001b[38;2;147;153;178m|\u001b[38;2;205;214;244m----------\u001b[38;2;147;153;178m|\r\n\u001b[39;48;5;52m \u001b[2m14 \u001b[31;22m-\u001b[38;2;147;153;178;2m|\u001b[38;2;205;214;244m Всего заметок \u001b[38;2;147;153;178m|\u001b[38;2;205;214;244m 461 \u001b[38;2;147;153;178m|\u001b[78X\r\n\u001b[39;48;5;22;22m \u001b[2m14 \u001b[32;22m+\u001b[38;2;147;153;178m|\u001b[38;2;205;214;244m Всего заметок \u001b[38;2;147;153;178m|\u001b[38;2;205;214;244m 462 \u001b[38;2;147;153;178m|\u001b[78X\r\n\u001b[0m \u001b[2m15 \u001b[0m \u001b[38;2;147;153;178m|\u001b[38;2;205;214;244m status: processing \u001b[38;2;147;153;178m|\u001b[38;2;205;214;244m 39 \u001b[38;2;147;153;178m|\u001b[74X\r\n\u001b[39;48;5;52m \u001b[2m16 \u001b[31;22m-\u001b[38;2;147;153;178;2m|\u001b[38;2;205;214;244m status: seed \u001b[38;2;147;153;178m|\u001b[38;2;205;214;244m 220 \u001b[38;2;147;153;178m|\u001b[79X\r\n\u001b[39;48;5;22;22m \u001b[2m16 \u001b[32;22m+\u001b[38;2;147;153;178m|\u001b[38;2;205;214;244m status: seed \u001b[38;2;147;153;178m|\u001b[38;2;205;214;244m 221 \u001b[38;2;147;153;178m|\u001b[79X\r\n\u001b[0m \u001b[2m17 \u001b[0m \u001b[38;2;147;153;178m|\u001b[38;2;205;214;244m status: stable \u001b[38;2;147;153;178m|\u001b[38;2;205;214;244m 109 \u001b[38;2;147;153;178m|\u001b[77X\r\n\u001b[0m \u001b[2m ⋮\r\n\u001b[0m \u001b[2m23\r\n\u001b[48;5;22;22m \u001b[2m24 \u001b[32;22m+\u001b[38;2;147;153;178m###\u001b[38;2;249;226;175m \u001b[38;2;148;226;213m00 Inbox (1)\u001b[85X\r\n\u001b[39m \u001b[2m25 \u001b[32;22m+\r\n\u001b[39m \u001b[2m26 \u001b[32;22m+\u001b[38;2;147;153;178m|\u001b[38;2;205;214;244m \u001b[38;2;147;153;178m`\u001b[38;2;205;214;244m00 Inbox/Краткая теория с важными формулами по нечетким выводам.md\u001b[38;2;147;153;178m`\u001b[38;2;205;214;244m \u001b[38;2;147;153;178m|\u001b[38;2;205;214;244m Краткая теория с важными фор\r\n\u001b[39m \u001b[2m \u001b[38;2;205;214;244;22mмулами по нечетким выводам \u001b[38;2;147;153;178m|\u001b[38;2;205;214;244m seed \u001b[38;2;147;153;178m|\u001b[38;2;205;214;244m concept \u001b[38;2;147;153;178m|\u001b[38;2;205;214;244m math, mephi, fuzzy-sets \u001b[38;2;147;153;178m|\r\n\u001b[39m \u001b[2m27 \u001b[32;22m+\r\n\u001b[0m \u001b[2m28 \u001b[0m \u001b[38;2;147;153;178m###\u001b[38;2;249;226;175m \u001b[38;2;148;226;213m01 Ideas (1)\u001b[85X\r\n\r\n\u001b[39;2m─────────────────────────────────────────────────────────────────────────────────────────────────────────────\r\n\r\n• \u001b[0mЗаметка создана. Проверяю frontmatter, индекс и diff, чтобы не оставить техническую ошибку в YAML или\r\n счётчиках.\r\n\r\n\u001b[2m•\u001b[0m \u001b[1mExplored\r\n\u001b[32m•\u001b[0m \u001b[1mRan\u001b[0m \u001b[38;2;137;180;250mrtk\u001b[38;2;205;214;244m git diff\u001b[38;2;148;226;213m --\u001b[38;2;205;214;244m \u001b[38;2;166;227;161m'00 Inbox/Краткая теория с важными формулами по нечетким выводам.md'\u001b[38;2;205;214;244m INDEX.md\r\n\u001b[39;2m └ INDEX.md | 10 +++++++---\r\n\u001b[0m \u001b[2m 1 file changed, 7 insertions(+), 3 deletions(-)\r\n … +27 lines (ctrl + t to view transcript)\r\n\u001b[0m \u001b[2midea, audio, content, security-awareness |\r\n\u001b[32;22m•\u001b[0m \u001b[1mRan\u001b[0m \u001b[38;2;137;180;250mrtk\u001b[38;2;205;214;244m git status\u001b[38;2;147;153;178m --\u001b[38;2;235;160;172mshort\u001b[38;2;148;226;213m --\u001b[38;2;205;214;244m \u001b[38;2;166;227;161m'00 Inbox/Краткая теория с важными формулами по нечетким выводам.md'\u001b[38;2;205;214;244m INDEX.md\r\n\u001b[39;2m └ M INDEX.md\r\n\r\n• \u001b[0mГотово.\r\n\r\n Создал заметку: \u001b[36m00 Inbox/Краткая теория с важными формулами по нечетким выводам.md\r\n\r\n\u001b[0m Обновил \u001b[36mINDEX.md\u001b[0m: добавил \u001b[36m00 Inbox\u001b[0m, увеличил \u001b[36mtotal\u001b[0m и \u001b[36mseed\u001b[0m.\r\n\r\n\u001b[2m─ Worked for 1m 42s ─────────────────────────────────────────────────────────────────────────────────────────\r\n\r\n\u001b[48;5;239;22m\u001b[109X\r\n\u001b[1;2m› \u001b[22;22mАлгоритм Ларсена\r\n\r\n\u001b[0m\u001b[109X\r\n\u001b[2m• \u001b[0mУточни: создать отдельную заметку \u001b[36mАлгоритм Ларсена\u001b[0m в \u001b[36m00 Inbox/\u001b[0m или дописать раздел в уже созданную заметку\r\n про нечеткие выводы?\r\n\r\n\u001b[48;5;239m\u001b[109X\r\n\u001b[1;2m› \u001b[22;22mдостать\r\n\r\n\u001b[0m\u001b[109X\r\n\u001b[2m• \u001b[0mДостану из существующих заметок только часть про алгоритм Ларсена и сверю с краткой шпаргалкой в Inbox.\r\n\r\n\u001b[2m•\u001b[0m \u001b[1mExplored\r\n\u001b[22;2m └ \u001b[36;22mRead\u001b[0m Нечеткий вывод.md\u001b[2m, \u001b[0mКраткая теория с важными формулами по нечетким выводам.md\r\n\r\n\u001b[32;1m•\u001b[0m \u001b[1mRan\u001b[0m \u001b[38;2;137;180;250mrtk\u001b[38;2;205;214;244m grep\u001b[38;2;147;153;178m -\u001b[38;2;235;160;172mn\u001b[38;2;205;214;244m \u001b[38;2;166;227;161m\"Ларсен|Larsen|произвед\"\u001b[38;2;205;214;244m \u001b[38;2;166;227;161m'00 Inbox'\u001b[38;2;205;214;244m \u001b[38;2;166;227;161m'90 Library/Math/Теория нечетких множеств'\u001b[38;2;205;214;244m INDEX.md\r\n\u001b[39;2m └ 10 matches in 4F:\r\n\r\n … +16 lines (ctrl + t to view transcript)\r\n\u001b[0m \u001b[2m 61: **Ларсен:** заключение масштабируется произведением, композиция может выполня...\r\n\r\n\r\n─────────────────────────────────────────────────────────────────────────────────────────────────────────────\r\n\r\n• \u001b[0mПрочитано: \u001b[36m[[Нечеткий вывод]]\u001b[0m и заметка в \u001b[36m00 Inbox\u001b[0m.\r\n\r\n \u001b[1mАлгоритм Ларсена\u001b[0m — вариант нечеткого вывода, где заключение правила не отсекается минимумом, как у Мамдани,\r\n а масштабируется произведением.\r\n\r\n Для правила $i$:\r\n\r\n $$\r\n \\alpha_i = T(\\mu_{A_{i1}}(x_1^\u001b[3m), \\dots, \\mu_{A_{in}}(x_n^\u001b[0m))\r\n $$\r\n\r\n где $\\alpha_i$ — сила активации правила.\r\n\r\n Импликация Ларсена:\r\n\r\n $$\r\n \\mu_{B_i'}(y) = \\alpha_i \\cdot \\mu_{B_i}(y)\r\n $$\r\n\r\n То есть функция принадлежности заключения умножается на степень истинности условия.\r\n\r\n Объединение правил обычно через максимум:\r\n\r\n $$\r\n \\mu_B(y) = \\max_i \\mu_{B_i'}(y)\r\n $$\r\n\r\n Коротко: \u001b[1mМамдани режет заключение минимумом, Ларсен масштабирует заключение произведением\u001b[0m.\r\n\r\n\u001b[2m─────────────────────────────────────────────────────────────────────────────────────────────────────────────\r\n\r\n\u001b[48;5;239;22m \u001b[108X\r\n\u001b[1m›\u001b[22m Свойство\u001b[1Cполностью\u001b[1Cтранзитивной\r\n\u001b[0m * Restored history at Sat May 30 2026 18:41:09 GMT+0300 (Москва, стандартное время)\u001b[48;5;239m\r\n\u001b[0m\u001b[2X\u001b[2C\u001b[38;2;246;226;183mgpt-5.5 high\u001b[39;2m · \u001b[38;2;171;223;167;22m~/Documents/Vaults/SecondBrain\u001b[62X\r\n\u001b[33m⚠ Последний бэкап: 2 дн. назад. Запусти: backup-menu\r\n\u001b[38;5;76m❯\u001b[0m \u001b[32mgemini\r\n\u001b[0m󰖟 Proxy enabled (127.0.0.1:2080)\r\n\r\n \u001b[38;5;74m▝\u001b[38;5;110m▜\u001b[38;5;140m▄\u001b[38;5;139m \u001b[38;5;174m \u001b[0m \u001b[38;5;231;1mGemini CLI\u001b[38;5;248;22m v0.43.0\r\n\u001b[0m \u001b[38;5;74m \u001b[38;5;110m \u001b[38;5;140m▝\u001b[38;5;139m▜\u001b[38;5;174m▄\r\n\u001b[0m \u001b[38;5;74m \u001b[38;5;110m▗\u001b[38;5;140m▟\u001b[38;5;139m▀\u001b[38;5;174m \u001b[0m \u001b[38;5;231;1mSigned in with Google\u001b[38;5;248;22m /auth\r\n\u001b[0m \u001b[38;5;74m▝\u001b[38;5;110m▀\u001b[38;5;140m \u001b[38;5;139m \u001b[38;5;174m \u001b[0m \u001b[38;5;231;1mPlan:\u001b[22m Gemini Code Assist in Google One AI Pro\u001b[38;5;248m /upgrade\r\n\r\n\r\n\u001b[38;5;229mℹ MCP issues detected. Run /mcp list for status.\r\n\u001b[38;5;217m✕ Automatic update failed. Please try updating manually:\r\n\r\n\u001b[0m \u001b[38;5;217mnpm install -g @google/gemini-cli@0.44.1\r\n\r\n\u001b[39;48;5;60m \r\n \u001b[38;5;183m> /model\u001b[39m \r\n \r\n\u001b[0m\u001b[109X\r\n\u001b[38;5;229mℹ Gemini CLI update available! 0.43.0 → 0.44.1\r\n\u001b[0m \u001b[38;5;229mInstalled with npm. Attempting to automatically update now...\r\n\r\n\r\n\r\n\u001b[38;5;102;2m─────────────────────────────────────────────────────────────────────────────────────────────────────────────\r\n\u001b[0m \u001b[38;5;248mShift+Tab to accept edits\u001b[0m \u001b[38;5;248m2 GEMINI.md files · 2 MCP servers\r\n\u001b[39;48;5;102m \r\n \u001b[38;5;183m> \u001b[38;5;231mingest\u001b[39;7m \u001b[27m \r\n \r\n\u001b[0m \u001b[38;5;248mworkspace (/directory)\u001b[0m \u001b[38;5;248mbranch\u001b[0m \u001b[38;5;248msandbox\u001b[0m \u001b[38;5;248m/model\u001b[0m \u001b[38;5;248mquota\u001b[1X\r\n\u001b[0m \u001b[38;5;231m~/Documents/Vaults/SecondBrain\u001b[0m \u001b[38;5;231mmain\u001b[0m \u001b[38;5;217mno sandbox\u001b[0m \u001b[38;5;231mAuto (Gemini 3)\u001b[0m 0% used\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\u001b[19A\u001b[9C", "rows": 31, "scrollLine": -1 } @@ -54,7 +54,7 @@ }, "pinned": true, "icon": "terminal", - "title": "Terminal: SecondBrain" + "title": "Terminal: ◇ Ready (SecondBrain)" } }, { @@ -180,17 +180,31 @@ "state": { "type": "markdown", "state": { - "file": "90 Library/Math/Теория нечетких множеств/Нечеткий вывод.md", + "file": "AGENTS.md", "mode": "preview", "source": false, "backlinks": false }, "icon": "lucide-file", - "title": "Нечеткий вывод" + "title": "AGENTS" + } + }, + { + "id": "726b9e1586752b6c", + "type": "leaf", + "state": { + "type": "markdown", + "state": { + "file": "AGENTS.md", + "mode": "source", + "source": false, + "backlinks": false + }, + "icon": "lucide-file", + "title": "AGENTS" } } - ], - "currentTab": 9 + ] } ], "direction": "vertical" @@ -426,27 +440,30 @@ "terminal:Open terminal": false } }, - "active": "fbc2cce35aef6a83", + "active": "44e5aceda7b172df", "lastOpenFiles": [ - "00 Inbox/Краткая теория с важными формулами по нечетким выводам.md", - "99 System/Archive/МИАД_Л3_нечеткий_вывод.pdf", "AGENTS.md", - "99 System/Archive/a5d627bd-c616-43bb-8490-bdeef3f27d15.pdf", + "CODEX.md", + "GEMINI.md", + "00 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