Ali Abbasi Molai - School of Mathematics and Computer Sciences, Damghan University, Damghan, Iran;

An optimization problem with a geometric function provided to a system of bipolar fuzzy relation equations (BFREs) is presented. In this paper, its feasible domain is firstly characterized and then a lower and upper bound on its feasible solution set is determined. Some conditions are presented to check its feasibility. A value matrix is proposed using a useful property of the problem and the branch and bound approach is applied to solve the problem based on the matrix.

Bipolar fuzzy relation programming, Branch and bound approach, Geometric programming,max-product operator.