Repairing the Inconsistent Fuzzy Preference Matrix Using Multiobjective PSO

This paper presents a method using multiobjective particle swarm optimization (PSO) approach to improve the consistency matrix in analytic hierarchy process (AHP), called PSOMOF. The purpose of this method is to optimize two objectives which conflict each other, while improving the consistency matri...

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Main Authors: Abba Suganda Girsang, Chun-Wei Tsai, Chu-Sing Yang
Format: Article
Language:English
Published: Wiley 2015-01-01
Series:Advances in Fuzzy Systems
Online Access:http://dx.doi.org/10.1155/2015/467274
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author Abba Suganda Girsang
Chun-Wei Tsai
Chu-Sing Yang
author_facet Abba Suganda Girsang
Chun-Wei Tsai
Chu-Sing Yang
author_sort Abba Suganda Girsang
collection DOAJ
description This paper presents a method using multiobjective particle swarm optimization (PSO) approach to improve the consistency matrix in analytic hierarchy process (AHP), called PSOMOF. The purpose of this method is to optimize two objectives which conflict each other, while improving the consistency matrix. They are minimizing consistent ratio (CR) and deviation matrix. This study focuses on fuzzy preference matrix as one model comparison matrix in AHP. Some inconsistent matrices are repaired successfully to be consistent by this method. This proposed method offers some alternative consistent matrices as solutions.
format Article
id doaj-art-be9718b67d474ce4aeb59706681ce9b2
institution Kabale University
issn 1687-7101
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language English
publishDate 2015-01-01
publisher Wiley
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series Advances in Fuzzy Systems
spelling doaj-art-be9718b67d474ce4aeb59706681ce9b22025-02-03T01:21:54ZengWileyAdvances in Fuzzy Systems1687-71011687-711X2015-01-01201510.1155/2015/467274467274Repairing the Inconsistent Fuzzy Preference Matrix Using Multiobjective PSOAbba Suganda Girsang0Chun-Wei Tsai1Chu-Sing Yang2Master of Information Technology at Binus Graduate Program, Bina Nusantara University, Jalan Kebon Jeruk Raya No. 27, Jakarta 11530, IndonesiaDepartment of Computer Science and Information Engineering, National Ilan University, Yilan 26041, TaiwanInstitute of Computer and Communication Engineering and Department of Electrical Engineering, National Cheng Kung University, Tainan 70101, TaiwanThis paper presents a method using multiobjective particle swarm optimization (PSO) approach to improve the consistency matrix in analytic hierarchy process (AHP), called PSOMOF. The purpose of this method is to optimize two objectives which conflict each other, while improving the consistency matrix. They are minimizing consistent ratio (CR) and deviation matrix. This study focuses on fuzzy preference matrix as one model comparison matrix in AHP. Some inconsistent matrices are repaired successfully to be consistent by this method. This proposed method offers some alternative consistent matrices as solutions.http://dx.doi.org/10.1155/2015/467274
spellingShingle Abba Suganda Girsang
Chun-Wei Tsai
Chu-Sing Yang
Repairing the Inconsistent Fuzzy Preference Matrix Using Multiobjective PSO
Advances in Fuzzy Systems
title Repairing the Inconsistent Fuzzy Preference Matrix Using Multiobjective PSO
title_full Repairing the Inconsistent Fuzzy Preference Matrix Using Multiobjective PSO
title_fullStr Repairing the Inconsistent Fuzzy Preference Matrix Using Multiobjective PSO
title_full_unstemmed Repairing the Inconsistent Fuzzy Preference Matrix Using Multiobjective PSO
title_short Repairing the Inconsistent Fuzzy Preference Matrix Using Multiobjective PSO
title_sort repairing the inconsistent fuzzy preference matrix using multiobjective pso
url http://dx.doi.org/10.1155/2015/467274
work_keys_str_mv AT abbasugandagirsang repairingtheinconsistentfuzzypreferencematrixusingmultiobjectivepso
AT chunweitsai repairingtheinconsistentfuzzypreferencematrixusingmultiobjectivepso
AT chusingyang repairingtheinconsistentfuzzypreferencematrixusingmultiobjectivepso