Fuzzy optimization of linear objective function subject to max-average relational inequality constraints

Abstract An optimization problem of a linear objective function subject to a system of fuzzy relational inequalities based on max-average composition and fuzzy inequality is presented. This problem is converted to a new one with ordinary inequalities by using linear membership functions and Bellman-...

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Bibliographic Details
Published inJournal of intelligent & fuzzy systems Vol. 29; no. 2; pp. 635 - 645
Main Authors Kouchakinejad, Fateme, Khorram, Esmaile, Mashinchi, Mashaalah
Format Journal Article
LanguageEnglish
Published London, England SAGE Publications 05.10.2015
Subjects
linear objective function optimization
Fuzzy inequality
max-average composition
sensitivity analysis
fuzzy relational inequalities
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ISSN1064-1246
1875-8967
DOI10.3233/IFS-141361

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Summary:Abstract An optimization problem of a linear objective function subject to a system of fuzzy relational inequalities based on max-average composition and fuzzy inequality is presented. This problem is converted to a new one with ordinary inequalities by using linear membership functions and Bellman-Zadeh decision. Then, dimension of the last problem is reduced and an algorithm is presented to generate the optimal solution of the initial optimization problem. Two numerical examples are given to illustrate the steps of the algorithm. Some aspects of sensitivity analysis of the problem is investigated.
ISSN:1064-1246
1875-8967
DOI:10.3233/IFS-141361