An algorithm for solving linear optimization problems subject to a system of fuzzy relational inequalities with the max-Einstein composition

Chia Cheng Liu, Jiing Yurn Lyu, Yan Kuen Wu*, Sy Ming Guu

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

Two algorithms for solving linear optimization problems subject to a system of fuzzy relational inequalities (FRI) with the max-Einstein composition was proposed by Abbasi Molai [1]. However, it is too expensive to obtain the optimal solution by verifying a lot of quasi-minimal solutions. In this paper, some rules are proposed for reducing the size of problem and obtaining the optimal solution without verifying any quasi-minimal solutions to some problems. Numerical examples are presented to illustrate the efficiency of the proposed algorithm.

Original languageEnglish
Title of host publicationProceedings of the 2012 5th International Joint Conference on Computational Sciences and Optimization, CSO 2012
Pages221-225
Number of pages5
DOIs
StatePublished - 2012
Externally publishedYes
Event2012 5th International Joint Conference on Computational Sciences and Optimization, CSO 2012 - Harbin, Heilongjiang, China
Duration: 23 06 201226 06 2012

Publication series

NameProceedings of the 2012 5th International Joint Conference on Computational Sciences and Optimization, CSO 2012

Conference

Conference2012 5th International Joint Conference on Computational Sciences and Optimization, CSO 2012
Country/TerritoryChina
CityHarbin, Heilongjiang
Period23/06/1226/06/12

Keywords

  • Fuzzy optimization
  • Fuzzy relational inequality
  • Max-Einstein composition

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