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Extension of PROMETHEE Method for Solving Multi-Objective Optimization Problems

by Mansoureh Maadi, Marzieh Soltanolkottabi
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International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 89 - Number 11
Year of Publication: 2014
Authors: Mansoureh Maadi, Marzieh Soltanolkottabi
10.5120/15677-4430

Mansoureh Maadi, Marzieh Soltanolkottabi . Extension of PROMETHEE Method for Solving Multi-Objective Optimization Problems. International Journal of Computer Applications. 89, 11 ( March 2014), 23-29. DOI=10.5120/15677-4430

@article{ 10.5120/15677-4430,
author = { Mansoureh Maadi, Marzieh Soltanolkottabi },
title = { Extension of PROMETHEE Method for Solving Multi-Objective Optimization Problems },
journal = { International Journal of Computer Applications },
issue_date = { March 2014 },
volume = { 89 },
number = { 11 },
month = { March },
year = { 2014 },
issn = { 0975-8887 },
pages = { 23-29 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume89/number11/15677-4430/ },
doi = { 10.5120/15677-4430 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-06T22:09:00.323828+05:30
%A Mansoureh Maadi
%A Marzieh Soltanolkottabi
%T Extension of PROMETHEE Method for Solving Multi-Objective Optimization Problems
%J International Journal of Computer Applications
%@ 0975-8887
%V 89
%N 11
%P 23-29
%D 2014
%I Foundation of Computer Science (FCS), NY, USA
Abstract

The most methods used for solving multi objective optimization problems (MOPs) are based on the Pareto-optimal frontier, but this approach will become questionable when the number of objectives grows. This paper presents an approach for solving MOPs using PROMETHEE method (Preference Ranking Organization methods for Enrichment Evaluation). In this paper the optimal solution of MOPs is built base on minimizing the preference of positive ideal solution and maximizing the preference over negative ideal solution. Thus, a k-dimensional objective space is reduced to a two-dimensional space. The concept of membership function of fuzzy set theory is used to represent the satisfaction level for both criteria and a max-min operator is used for solving the transformed problem. Finally a numerical example is illustrated.

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Index Terms

Computer Science
Information Sciences

Keywords

Multiobjective Optimization Problem (MOP) PROMETHEE method Preference function Fuzzy set theory.

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