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

This paper studies the problem of minimizing a linear objective function subject to max-T fuzzy relation equation constraints where T is a special class of pseudo-t-norms. Some sufficient conditions are purposed for the determination of the optimal solutions of the problem in terms of the maximum solution of its feasible domain. Under these conditions, some optimal solutions of the problem can be obtained directly. Some procedures are also suggested to simplify the original problem based on the conditions. Moreover, some sufficient conditions are purposed for the uniqueness of the optimal solution of the original problem.

Fuzzy relation equations, Max-T composition, Maximum solution, Minimal solution, Fuzzy optimization, Optimal solution