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Linear optimization with bipolar max-parametric hamacher fuzzy relation equation constraints

Samaneh Aliannezhadi, Ali Abbasi Molai, Behnaz Hedayatfar (2016)

Kybernetika

In this paper, the linear programming problem subject to the Bipolar Fuzzy Relation Equation (BFRE) constraints with the max-parametric hamacher composition operators is studied. The structure of its feasible domain is investigated and its feasible solution set determined. Some necessary and sufficient conditions are presented for its solution existence. Then the problem is converted to an equivalent programming problem. Some rules are proposed to reduce the dimensions of problem. Under these rules,...

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