From 099bacbc4f79aa5963b39d8fbbc71c0c4c0d14e7 Mon Sep 17 00:00:00 2001 From: Anton Romanov Date: Wed, 15 May 2024 16:15:19 +0400 Subject: [PATCH] Add figures --- Jenkinsfile | 2 +- figures/kb-structure.png | Bin 23366 -> 19415 bytes figures/li.png | Bin 0 -> 25247 bytes paper.pdf | Bin 384407 -> 408738 bytes paper.tex | 29 +++++++++++++++++++++++++++++ 5 files changed, 30 insertions(+), 1 deletion(-) create mode 100644 figures/li.png diff --git a/Jenkinsfile b/Jenkinsfile index 3737983..052751b 100644 --- a/Jenkinsfile +++ b/Jenkinsfile @@ -16,7 +16,7 @@ pipeline { script { docker.image('aergus/latex').inside { sh 'latexmk -pdf paper.tex' - sh 'git add paper.pdf' + sh 'git add -f paper.pdf' sh 'git commit -a -m "add pdf"' sh 'git push origin master' } diff --git a/figures/kb-structure.png b/figures/kb-structure.png index ff9d0926335495439bd42eb986e8391629736cb3..6e638e30e8a3bdb4914d56f33d6d1a704a531769 100644 GIT binary patch literal 19415 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z!g#z|MKGncS^=1uE3F{R`kYoV%)wQLRte1ctyU?_S4eC-_ihQVNa`(Op+-$x3dE0sY`wV aacMV~mw7w}91Sx#GdM9Y3MC~)Peuy!Zc?oP diff --git a/paper.tex b/paper.tex index 34bce1b..541f6a8 100644 --- a/paper.tex +++ b/paper.tex @@ -179,6 +179,7 @@ $Y=\{y^i\}, i = [1,n], n \in N$, -- $n$ состояний интегрируе Состояние системы $y^i$ определяется вектором входных значений $\{v_1^i, ..., v_m^i\}$, Таким образом, для формирования правила управления системы для перевода ее в состояние (выдачи управляющих воздействий) $y^i$ необходимо в антецедент правила включить сравнение вектора параметров $X$ со значениями $\{v_1^i, ..., v_m^i\}$: \begin{equation} + \label{eq:comparison} p^i (X, \{v_1^i, ..., v_m^i\}) \rightarrow y^i. \end{equation} @@ -186,6 +187,34 @@ $Y=\{y^i\}, i = [1,n], n \in N$, -- $n$ состояний интегрируе Для учета неопределенности во входных значениях будем использовать нечеткие функции принадлежности треугольной формы $\mu_(y^i ) (x^i)$ \cite{Mamdani-1974}. Данная функция значений входных параметров $x^i$, присущих состоянию системы $i$ позволяет выполнять логический вывод даже в том случае, когда вектор входных значений содержит значения, не совпадающие в точности со значениями, использующимися в антецедентах правил. +\section{Алгоритм формирования выходных данных на основе иерархической базы правил} +На рисунке \ref{fig:algorithm} представлен алгоритм принятия решения с использованием иерархической нечеткой базы правил с нечетким логическим выводом, основанном на подходе Мамдани \cite{Mamdani-1974}. + +\begin{figure} + \centering + \includegraphics[width=1.0\linewidth]{figures/li} + \caption{Алгоритм принятия решений} + \label{fig:algorithm} +\end{figure} + +Предварительно на основе метамодели формируется первый уровень базы правил (generate abstract level rule base), который не будет изменяться до тех пор, пока не произойдут изменения в самой метамодели интегрируемой ИС. + +Алгоритм, представленный на рисунке \ref{fig:algorithm}, состоит из нескольких шагов: +\begin{itemize} + \item Входные данные (input data), представленные в виде кортежа данных ключ-значение ($inp1 = 7$) разного типа (целочисленные, строковые, дата и логические переменные типа boolean), преобразуются в лингвистические термы (transfer to terms), представленные в виде $INP=\{INP_1, INP_2, ..., INP_z\}, z \in N$. + + \item Используя базу правил первого уровня (abstract level rule base) и преобразованные входные данные ($INP$), осуществляется логический вывод (search in abstract level rule base), представленный в виде $\{\{INP^{OUT_s}\}, OUT_s\}, s \in N$. + + \item Результат выполнения правила первого уровня ($\{INP^{OUT_s}\}, OUT_s$), исходные входные данные (input data), представленные в виде кортежа данных ключ-значение ($inp1 = 7$) разного типа (целочисленные, строковые, дата и логические переменные типа boolean), и база данных интегрируемой ИС (data base) участвуют в динамическом формировании правил второго уровня (generate key level rule base), математическое представление которых представлено в формуле \ref{eq:comparison}. + + \item В процессе нечеткого логического вывода (logic inference by Mamdani), основанного на подходе Мамдани, получается результат выполнения правила ($y^i$) на основе базы правил второго уровня. + + \item На заключительном этапе (generate out) формируются подходящие выходные данные (output data), представленные в виде картежа данных ключ-значение ($out1 = 7$) разного типа (целочисленные, строковые, дата и логические переменные типа boolean). Заключительный этап использует в качестве входных данных базу данных интегрируемой ИС (data base) и результат выполнения правила ($y^i$) на основе базы правил второго уровня. +\end{itemize} + +Таким образом, происходит процесс принятия решений на основе иерархической нечеткой базы правил с нечетким логическим выводом. + + \begin{credits} \subsubsection{\ackname} This study was supported the Ministry of Science and Higher Education of Russia in framework of project No. 075-03-2023-143 "The study of intelligent predictive analytics based on the integration of methods for constructing features of heterogeneous dynamic data for machine learn-ing and methods of predictive multimodal data analysis". \end{credits}

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