GEOMETRIC FUNCTION OPTIMIZATION SUBJECT TO MIXED FUZZY RELATION INEQUALITY CONSTRAINTS

In this paper, the mixed fuzzy relation geometric programming problem is considered. The Mixed Fuzzy Relation Inequality (MFRI) system is an importance extension of FRI. It is shown that its feasible domain is non-convex and completely determined by its maximum solution and all its minimal solutions...

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Bibliographic Details
Published inTWMS journal of applied and engineering mathematics Vol. 9; no. 3; p. 434
Main Authors Hedayatfar, Behnaz, Molai, Ali Abbasi
Format Journal Article
LanguageEnglish
Published Istanbul Turkic World Mathematical Society 01.01.2019
Elman Hasanoglu
Subjects
Algorithms
Equality
Fuzzy systems
Inequalities (Mathematics)
Mathematical programming
Mathematical research
Optimization
Optimization theory
Iran
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Summary:In this paper, the mixed fuzzy relation geometric programming problem is considered. The Mixed Fuzzy Relation Inequality (MFRI) system is an importance extension of FRI. It is shown that its feasible domain is non-convex and completely determined by its maximum solution and all its minimal solutions. A combination of the components of maximum solution and one of the minimal solutions solves the optimization problem. Some simplification procedures are proposed to solve the problem. An algorithm is finally designed to solve the problem. Keywords: Geometric programming, Mixed fuzzy relation inequality, Max-product composition, Max-hamacher composition, Non-convex optimization. AMS Subject Classification: 90C26,90C70.
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ISSN:2146-1147
2146-1147