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

A polynomial programming problem subject to the max-product bipolar fuzzy relation equation constraints is studied in this paper. Its structure of feasible domain is firstly investigated using the lower and upper bound of its feasible solutions. Some sufficient conditions are proposed to determine the optimal solution of the problem based on the covering concept. Moreover, a value matrix is created to display the candidate components for optimality. A matrix-based algorithm is designed to solve the problem.

Bipolar fuzzy relation equation, Covering, Polynomial programming, max-product operator