Title of article :
GEOMETRIC FUNCTION OPTIMIZATION SUBJECT TO MIXED FUZZY RELATION INEQUALITY CONSTRAINTS
Author/Authors :
HEDAYATFAR, BEHNAZ School of Mathematics and Computer Sciences - Damghan University, Iran , ABBASI MOLAI, ALI School of Mathematics and Computer Sciences - Damghan University, Iran
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 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
Journal title :
Turkish World Mathematical Society Journal of Applied and Engineering Mathematics
