title: ÐÐ²ÑÐ¾Ð¼Ð°ÑÐ¸Ð·Ð°ÑÐ¸Ñ ÑÐµÑÐµÐ½Ð¸Ñ Ð·Ð°Ð´Ð°ÑÐ¸ Ð¼Ð½Ð¾Ð³Ð¾ÐºÑÐ¸ÑÐµÑÐ¸Ð°Ð»ÑÐ½ÑÑ Ð¿Ð°ÑÐ½ÑÑ ÑÑÐ°Ð²Ð½ÐµÐ½Ð¸Ð¹
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: Automation of solving the problem of multi-criteria pair comparisons
Creators: name: ÐÐ°Ð·Ð°Ð½Ð´Ð¶Ð¸, ÐÐ¸ÑÐ°Ð¸Ð»
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: 2023
Subjects: Ð¼Ð½Ð¾Ð³Ð¾ÐºÑÐ¸ÑÐµÑÐ¸Ð°Ð»ÑÐ½ÑÐµ Ð·Ð°Ð´Ð°ÑÐ¸ Ð¿ÑÐ¸Ð½ÑÑÐ¸Ñ ÑÐµÑÐµÐ½Ð¸Ð¹
Ð¿Ð°ÑÐ½ÑÐµ ÑÑÐ°Ð²Ð½ÐµÐ½Ð¸Ñ
Ð¼ÐµÑÐ¾Ð´ Ð°Ð½Ð°Ð»Ð¸Ð·Ð° Ð¸ÐµÑÐ°ÑÑ Ð¸Ð¹
ÑÑÐ¾Ð¿Ð¸ÑÐµÑÐºÐ°Ñ Ð¼Ð°ÑÐµÐ¼Ð°ÑÐ¸ÐºÐ°
multi-criteria decision-making problems
paired comparisons
hierarchy analysis method
tropical mathematics

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description: The object of research is the field of tropical mathematics, namely its applied use for optimization of computational complexity. The subject of the study is the method of minimax log-Chebyshev approximation with elements of tropical algebra. The purpose of this work is to develop a mathematical package for solving the multi-criteria problem of pair comparison by the established method. Tasks that were solved during the work: - Research and comparative analysis of existing methods for solving the problem of multi-criteria pair comparisons. - Development of a mathematical package for tropical algebra. - Development of a mathematical package for solving the problem of paired comparisons using log-Chebyshev approximation. - Testing of the developed mathematical package. Methods of comparative analysis of various methods of solving the problem of multi-criteria pair comparisons, as well as field research of the developed metematic package were used. To perform the work, the theory of using tropical algebra to optimize the solution of mathematical problems was studied, as well as various methods for solving a multi-criteria pair comparison problem. Programming languages used in the work: Haskell, Scala, Clojure, Julia. The result of the work is a qualitatively developed mathematical package in several versions and their performance analysis results. Based on additional testing, a conclusion was made about the success of the study. The developed functionality of the mathematical package was highly appreciated by customers.