Ali Abbasi Molai - School of Mathematics and Computer Sciences, Damghan University, P.O. Box ۳۶۷۱۵-۳۶۴, Damghan, Iran

In this paper, the quadratic programming problem provided to the Bipolar Fuzzy Relation Equation (BFRE) constraints is studied. We firstly investigate to the structure of feasible domain of the problem. Some necessary and sufficient conditions are presented to check its feasibility. Finally, an equivalent nonlinear integer programming problem is given to solve the problem.

Bipolar fuzzy relation equation, Max-product composition, Nonlinear integer optimization, Quadratic programming