Monomial Geometric Programming with Fuzzy Relation Equation Constraints Regarding Max-Bounded Difference Composition Operator

Monomial Geometric Programming with Fuzzy Relation Equation Constraints Regarding Max-Bounded Difference Composition Operator

A. A. Molai

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Abstract

In this paper, an optimization model with an objective function as monomial subject to a system of the fuzzy relation equations with max-bounded dierence (max-BD) composition operator is presented. We rstly determine its feasible solution set. Then some special characteristics of its feasible domain and the optimal solutions are studied. Some procedures for reducing and decomposing the problem into several sub-problems with smaller dimensions are proposed. Finally, an algorithm is designed to optimize the objective function of each sub-problem.

Keywords

Geometric optimization, Fuzzy relation equations, Max-bounded dierence composition operator, Non-convex programming, Fuzzy optimization.