Fuzzy preference of multiple decision-makers in solving multiobjective optimisation problems using genetic algorithm

Most real-life optimisation problems involve multiple objective functions.Finding a solution that satisfies the decision-maker is very difficult owing to conflict between the objectives. Furthermore, the solution depends on the decision-maker’s preference. Metaheuristic solution methods have become...

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Main Author: Surafel Luleseged Tilahun
Format: Article
Language:English
Published: Maejo University 2012-06-01
Series:Maejo International Journal of Science and Technology
Subjects:
Online Access:http://www.mijst.mju.ac.th/vol6/224-237.pdf
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author Surafel Luleseged Tilahun
author_facet Surafel Luleseged Tilahun
author_sort Surafel Luleseged Tilahun
collection DOAJ
description Most real-life optimisation problems involve multiple objective functions.Finding a solution that satisfies the decision-maker is very difficult owing to conflict between the objectives. Furthermore, the solution depends on the decision-maker’s preference. Metaheuristic solution methods have become common tools to solve these problems. The task of obtaining solutions that take account of a decision-maker’s preference is at the forefront of current research. It is also possible to have multipledecision-makers with different preferences and with different decision-making powers. It may not be easy to express a preference using crisp numbers. In this study, the preferences of multiple decision-makers were simulated and a solution based on a genetic algorithm was developed to solve multi-objective optimisation problems. The preferences werecollected as fuzzy conditional trade-offs and they were updated while running the algorithm interactively with the decision-makers. The proposed method was tested using well-known benchmark problems. The solutions were found to converge around the Pareto front of the problems.
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spelling doaj.art-84d0a5cea2b84caa82afdd61c5a0abbb2022-12-21T18:46:02ZengMaejo UniversityMaejo International Journal of Science and Technology1905-78732012-06-01602224237Fuzzy preference of multiple decision-makers in solving multiobjective optimisation problems using genetic algorithmSurafel Luleseged TilahunMost real-life optimisation problems involve multiple objective functions.Finding a solution that satisfies the decision-maker is very difficult owing to conflict between the objectives. Furthermore, the solution depends on the decision-maker’s preference. Metaheuristic solution methods have become common tools to solve these problems. The task of obtaining solutions that take account of a decision-maker’s preference is at the forefront of current research. It is also possible to have multipledecision-makers with different preferences and with different decision-making powers. It may not be easy to express a preference using crisp numbers. In this study, the preferences of multiple decision-makers were simulated and a solution based on a genetic algorithm was developed to solve multi-objective optimisation problems. The preferences werecollected as fuzzy conditional trade-offs and they were updated while running the algorithm interactively with the decision-makers. The proposed method was tested using well-known benchmark problems. The solutions were found to converge around the Pareto front of the problems.http://www.mijst.mju.ac.th/vol6/224-237.pdfmulti-objective optimisationmultiple decision-makersfuzzy preferencegenetic algorithm
spellingShingle Surafel Luleseged Tilahun
Fuzzy preference of multiple decision-makers in solving multiobjective optimisation problems using genetic algorithm
Maejo International Journal of Science and Technology
multi-objective optimisation
multiple decision-makers
fuzzy preference
genetic algorithm
title Fuzzy preference of multiple decision-makers in solving multiobjective optimisation problems using genetic algorithm
title_full Fuzzy preference of multiple decision-makers in solving multiobjective optimisation problems using genetic algorithm
title_fullStr Fuzzy preference of multiple decision-makers in solving multiobjective optimisation problems using genetic algorithm
title_full_unstemmed Fuzzy preference of multiple decision-makers in solving multiobjective optimisation problems using genetic algorithm
title_short Fuzzy preference of multiple decision-makers in solving multiobjective optimisation problems using genetic algorithm
title_sort fuzzy preference of multiple decision makers in solving multiobjective optimisation problems using genetic algorithm
topic multi-objective optimisation
multiple decision-makers
fuzzy preference
genetic algorithm
url http://www.mijst.mju.ac.th/vol6/224-237.pdf
work_keys_str_mv AT surafellulesegedtilahun fuzzypreferenceofmultipledecisionmakersinsolvingmultiobjectiveoptimisationproblemsusinggeneticalgorithm