GEOMETRIC FUNCTION OPTIMIZATION SUBJECT TO MIXED FUZZY RELATION INEQUALITY CONSTRAINTS

B. Hedayatfar, A. A. Molai

[PDF]

Abstract

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 de- termined 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 simplication procedures are proposed to solve the problem. An algorithm is nally designed to solve the problem.

Keywords

Geometric programming, Mixed fuzzy relation inequality, Max-product composition, Max-hamacher composition, Non-convex optimization.