Ali Abbasi Molai
School of Mathematics and Computer Sciences, Damghan Univer- sity, Damghan, P.O.Box 36715-364, Iran
[ 1 ] - Linear Objective Function Optimization with the Max-product Fuzzy Relation Inequality Constraints
In this paper, an optimization problem with a linear objective function subject to a consistent finite system of fuzzy relation inequalities using the max-product composition is studied. Since its feasible domain is non-convex, traditional linear programming methods cannot be applied to solve it. We study this problem and capture some special characteristics of its feasible domain and optimal s...
[ 2 ] - Separable programming problems with the max-product fuzzy relation equation constraints
In this paper, the separable programming problem subject to Fuzzy Relation Equation (FRE) constraints is studied. It is decomposed to two subproblems with decreasing and increasing objective functions with the same constraints. They are solved by the maximum solution and one of minimal solutions of its feasible domain, respectively. Their combination produces the original optimal solution. The ...
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