We consider nonlinear optimization problems constrained by a system of fuzzy relation equations. The
solution set of the fuzzy relation equations being nonconvex, in general, conventional nonlinear programming methods are not practical. Here, we propose a genetic algorithm with max-product composition
to obtain a near optimal solution for convex or nonconvex solution set. Test problems are constructed
to evaluate the performance of the proposed algorithm showing alternative solutions obtained by our
proposed model.
