title: ÐÑÐ¿Ð¾Ð»ÑÐ·Ð¾Ð²Ð°Ð½Ð¸Ðµ Ð½ÐµÑÐµÑÐºÐ¸Ñ Ð»Ð¾Ð³Ð¸Ðº Ð´Ð»Ñ ÑÐµÑÐµÐ½Ð¸Ñ Ð·Ð°Ð´Ð°Ñ Ð¾Ð¿ÑÐ¸Ð¼Ð¸Ð·Ð°ÑÐ¸Ð¸
title: Ð²ÑÐ¿ÑÑÐºÐ½Ð°Ñ ÐºÐ²Ð°Ð»Ð¸ÑÐ¸ÐºÐ°ÑÐ¸Ð¾Ð½Ð½Ð°Ñ ÑÐ°Ð±Ð¾ÑÐ° Ð¼Ð°Ð³Ð¸ÑÑÑÐ°
titleType: Subtitle
title: Using fuzzy logics to solve optimization problems
Creators: name: ÐÐ¾ÑÐ±Ð¾Ð²ÑÐºÐ¸Ð¹, ÐÐ°Ð»ÐµÐ½ÑÐ¸Ð½
Publisher: name: Ð¡Ð°Ð½ÐºÑ-ÐÐµÑÐµÑÐ±ÑÑÐ³ÑÐºÐ¸Ð¹ Ð¿Ð¾Ð»Ð¸ÑÐµÑÐ½Ð¸ÑÐµÑÐºÐ¸Ð¹ ÑÐ½Ð¸Ð²ÐµÑÑÐ¸ÑÐµÑ ÐÐµÑÑÐ° ÐÐµÐ»Ð¸ÐºÐ¾Ð³Ð¾
Year: 2021
Subjects: ÐÐ»Ð³Ð¾ÑÐ¸ÑÐ¼Ñ
ÐÐ°ÑÐµÐ¼Ð°ÑÐ¸ÑÐµÑÐºÐ¾Ðµ Ð¼Ð¾Ð´ÐµÐ»Ð¸ÑÐ¾Ð²Ð°Ð½Ð¸Ðµ
ÐÑÑÐ¸ÑÐ»Ð¸ÑÐµÐ»ÑÐ½ÑÐµ Ð¼Ð°ÑÐ¸Ð½Ñ ÑÐ»ÐµÐºÑÑÐ¾Ð½Ð½ÑÐµ Ð¿ÐµÑÑÐ¾Ð½Ð°Ð»ÑÐ½ÑÐµ
ÐÐ°ÑÐµÐ¼Ð°ÑÐ¸ÑÐµÑÐºÐ°Ñ Ð»Ð¾Ð³Ð¸ÐºÐ°
Ð¾Ð¿ÑÐ¸Ð¼Ð¸Ð·Ð°ÑÐ¸Ñ
Ð¾Ð¿ÑÐ¸Ð¼Ð°Ð»ÑÐ½Ð¾Ðµ ÑÐµÑÐµÐ½Ð¸Ðµ
ÑÑÐ½ÐºÑÐ¸Ð¾Ð½Ð°Ð»
ÑÑÐ¾Ð½Ñ Ð¿Ð°ÑÐµÑÐ¾
Ð½ÐµÑÑÑÐºÐ°Ñ Ð»Ð¾Ð³Ð¸ÐºÐ°
optimization
optimal solution
functional
pareto front
fuzzy logic

description: ÐÐ°Ð½Ð½Ð°Ñ ÑÐ°Ð±Ð¾ÑÐ° Ð¿Ð¾ÑÐ²ÑÑÐµÐ½Ð° Ð¸ÑÑÐ»ÐµÐ´Ð¾Ð²Ð°Ð½Ð¸Ñ Ð¸ÑÐ¿Ð¾Ð»ÑÐ·Ð¾Ð²Ð°Ð½Ð¸Ñ Ð¸Ð½ÑÑÑÑÐ¼ÐµÐ½ÑÐ¾Ð² Ð½ÐµÑÑÑÐºÐ¾Ð¹ Ð»Ð¾Ð³Ð¸ÐºÐ¸ Ð´Ð»Ñ Ð¾Ð¿ÑÐµÐ´ÐµÐ»ÐµÐ½Ð¸Ñ Ð¾Ð¿ÑÐ¸Ð¼Ð°Ð»ÑÐ½ÑÑ ÑÐµÑÐµÐ½Ð¸Ð¹ Ð¼Ð½Ð¾Ð³Ð¾ÐºÑÐ¸ÑÐµÑÐ¸Ð°Ð»ÑÐ½ÑÑ Ð·Ð°Ð´Ð°Ñ. ÐÐ°Ð´Ð°ÑÐ¸, ÐºÐ¾ÑÐ¾ÑÑÐµ ÑÐµÑÐ°Ð»Ð¸ÑÑ Ð² ÑÐ¾Ð´Ðµ Ð¸ÑÑÐ»ÐµÐ´Ð¾Ð²Ð°Ð½Ð¸Ñ: 1. Ð¡Ð¾Ð·Ð´Ð°Ð½Ð¸Ðµ Ð¼Ð°ÑÐµÐ¼Ð°ÑÐ¸ÑÐµÑÐºÐ¾Ð¹ Ð¼Ð¾Ð´ÐµÐ»Ð¸ Ð¿Ð¾ÑÑÐµÐ±Ð»ÐµÐ½Ð¸Ñ Ð¼Ð¾ÑÐ½Ð¾ÑÑÐ¸ Ñ Ð²Ð¾Ð·Ð¼Ð¾Ð¶Ð½Ð¾ÑÑÑÑ Ð¸ÑÐ¿Ð¾Ð»ÑÐ·Ð¾Ð²Ð°ÑÑ ÑÐ¸ÑÑÐµÐ¼Ñ Ð½Ð°ÐºÐ¾Ð¿Ð¸ÑÐµÐ»Ñ Ð¸ Ð²Ð°ÑÐ¸Ð°ÑÐ¸Ð²Ð½Ð¾Ð¹ Ð½Ð°Ð³ÑÑÐ·ÐºÐ¸; 2. ÐÑÑÐ»ÐµÐ´Ð¾Ð²Ð°Ð½Ð¸Ðµ Ð°Ð»Ð³Ð¾ÑÐ¸ÑÐ¼Ð¾Ð² Ð´Ð»Ñ ÑÐ°Ð±Ð¾ÑÑ Ñ Ð¼Ð°ÑÐµÐ¼Ð°ÑÐ¸ÑÐµÑÐºÐ¾Ð¹ Ð¼Ð¾Ð´ÐµÐ»ÑÑ; 3. Ð¡Ð¾Ð·Ð´Ð°Ð½Ð¸Ðµ ÑÑÐ½ÐºÑÐ¸Ð¾Ð½Ð°Ð»Ð¾Ð² Ð´Ð»Ñ Ð¾Ð±ÑÐ°Ð±Ð¾ÑÐºÐ¸ ÑÐµÐ·ÑÐ»ÑÑÐ°ÑÐ¾Ð² ÑÐ°Ð±Ð¾ÑÑ Ð¼Ð°ÑÐµÐ¼Ð°ÑÐ¸ÑÐµÑÐºÐ¾Ð¹ Ð¼Ð¾Ð´ÐµÐ»Ð¸. ÐÑÐ¾Ð²ÐµÐ´ÐµÐ½Ñ Ð¸ÑÑÐ»ÐµÐ´Ð¾Ð²Ð°Ð½Ð¸Ñ Ð¼Ð°ÑÐµÐ¼Ð°ÑÐ¸ÑÐµÑÐºÐ¾Ð¹ Ð¼Ð¾Ð´ÐµÐ»Ð¸, Ð²ÐºÐ»ÑÑÐ°ÑÑÐµÐ¹ Ð¸ÑÑÐ¾ÑÐ½Ð¸Ðº ÑÐ»ÐµÐºÑÑÐ¾ÑÐ½ÐµÑÐ³Ð¸Ð¸ Ð¸Ð· ÑÐµÑÐ¸, ÑÐ¸ÑÑÐµÐ¼Ñ Ð½Ð°ÐºÐ¾Ð¿Ð¸ÑÐµÐ»Ñ Ð¸ Ð½Ð°Ð³ÑÑÐ·ÐºÑ, ÑÐ°Ð·Ð´ÐµÐ»ÑÑÑÑÑÑÑ Ð½Ð° Ð¿Ð¾ÑÑÐ¾ÑÐ½Ð½ÑÑ Ð¸ Ð²Ð°ÑÐ¸Ð°ÑÐ¸Ð²Ð½ÑÑ ÑÐ°ÑÑÐ¸. ÐÐ»Ñ ÑÑÐ¾Ð³Ð¾ Ð±ÑÐ» ÑÐ¾Ð·Ð´Ð°Ð½ ÑÑÐ´ ÑÑÐ½ÐºÑÐ¸Ð¾Ð½Ð°Ð»Ð¾Ð² Ð´Ð»Ñ Ð¼Ð¸Ð½Ð¸Ð¼Ð¸Ð·Ð°ÑÐ¸Ð¸ (Ð¾Ð¿ÑÐ¸Ð¼Ð¸Ð·Ð°ÑÐ¸Ð¸) ÑÐ»ÐµÐ´ÑÑÑÐ¸Ñ ÐºÑÐ¸ÑÐµÑÐ¸ÐµÐ²: â¢ Ð¦ÐµÐ½Ð° Ð·Ð°ÐºÑÐ¿ÐºÐ¸ Ð¾Ð±Ð¾ÑÑÐ´Ð¾Ð²Ð°Ð½Ð¸Ñ â¢ Ð¡ÑÐ¾Ðº Ð¾ÐºÑÐ¿Ð°ÐµÐ¼Ð¾ÑÑÐ¸ â¢ ÐÐ¾ÑÑÐµÐ±Ð»ÐµÐ½Ð¸Ðµ ÑÐ½ÐµÑÐ³Ð¸Ð¸ Ð¾Ñ ÑÐµÑÐ¸ Ð² Ð´Ð½ÐµÐ²Ð½Ð¾Ðµ Ð²ÑÐµÐ¼Ñ â¢ ÐÐµÐ»Ð¸ÑÐ¸Ð½Ð° Ð¾ÑÐºÐ»Ð¾Ð½ÐµÐ½Ð¸Ð¹. Ð Ð°ÑÑÑÑÑ Ð²ÑÐ¿Ð¾Ð»Ð½ÐµÐ½Ñ Ð² Ð¿ÑÐ¾Ð³ÑÐ°Ð¼Ð¼Ðµ Matlab 2019 Ñ Ð¸ÑÐ¿Ð¾Ð»ÑÐ·Ð¾Ð²Ð°Ð½Ð¸ÐµÐ¼ ÑÐ¿ÐµÑÐ¸Ð°Ð»ÑÐ½ÑÑ Ð¸Ð½ÑÑÑÑÐ¼ÐµÐ½ÑÐ¾Ð² Ð»Ð¸Ð½ÐµÐ¹Ð½Ð¾Ð³Ð¾ Ð¿ÑÐ¾Ð³ÑÐ°Ð¼Ð¼Ð¸ÑÐ¾Ð²Ð°Ð½Ð¸Ñ Ð¸ Ð¾Ð¿ÑÐ¸Ð¼Ð¸Ð·Ð°ÑÐ¸Ð¸ Ð¿ÑÐ¸ Ð¿Ð¾Ð¼Ð¾ÑÐ¸ Ð³ÐµÐ½ÐµÑÐ¸ÑÐµÑÐºÐ¸Ñ Ð°Ð»Ð³Ð¾ÑÐ¸ÑÐ¼Ð¾Ð². ÐÐ¾Ð¸ÑÐº Ð¾Ð¿ÑÐ¸Ð¼Ð°Ð»ÑÐ½Ð¾Ð³Ð¾ ÑÐµÑÐµÐ½Ð¸Ñ Ð²ÑÐ¿Ð¾Ð»Ð½ÐµÐ½ Ñ Ð¿Ð¾Ð¼Ð¾ÑÑÑ Ð¸Ð½ÑÑÑÑÐ¼ÐµÐ½ÑÐ¾Ð² Ð½ÐµÑÑÑÐºÐ¾Ð¹ Ð»Ð¾Ð³Ð¸ÐºÐ¸. Ð ÐµÐ·ÑÐ»ÑÑÐ°ÑÑ ÑÐµÑÐµÐ½Ð¸Ñ Ð·Ð°Ð´Ð°Ñ Ð±ÑÐ»Ð¸ Ð¿ÑÐ¾Ð°Ð½Ð°Ð»Ð¸Ð·Ð¸ÑÐ¾Ð²Ð°Ð½Ñ, Ð´Ð°Ð½Ñ ÑÐµÐºÐ¾Ð¼ÐµÐ½Ð´Ð°ÑÐ¸Ð¸ Ðº Ð¸ÑÐ¿Ð¾Ð»ÑÐ·Ð¾Ð²Ð°Ð½Ð¸Ñ Ð¾Ð±ÑÐµÐ³Ð¾ Ð¼ÐµÑÐ¾Ð´Ð° Ð¾Ð¿ÑÐµÐ´ÐµÐ»ÐµÐ½Ð¸Ñ Ð¾Ð¿ÑÐ¸Ð¼Ð°Ð»ÑÐ½Ð¾Ð³Ð¾ ÑÐµÑÐµÐ½Ð¸Ñ.
description: This work is devoted to the study of the use of fuzzy logic tools to determine the optimal solutions to multi-objective problems. The tasks that were solved in the course of the study: 1. Creation of a mathematical model of power consumption with the ability to use a storage system and variable load 2. Research of algorithms for working with a mathematical model 3. Creation of functions for processing the results of the mathematical model Research has been carried out on a mathematical model that includes a power source from the network, a storage system and a load, which is divided into constant and variable parts. For this, a number of functions were created to minimize (optimize) the following criteria: â¢ Equipment purchase price â¢ Payback period â¢ Energy consumption from the mains during the day â¢ Amount of deviations The calculations were performed in the Matlab 2019 program using special linear programming tools and optimization using genetic algorithms. Finding the optimal solution using fuzzy logic tools.