Considering the application in wireless communication basic-station (terminal) system, we investigate the weighted minimax programming subject to two-sides fuzzy relation inequalities with max-product composition in this paper. By establishing the maximum solution and the discrimination matrix of the inequalities system, we give the sufficient and necessary condition that the inequalities system is consistent and further obtain the structure of the solution set. We develop a solution matrix approach method for solving the proposed problem and further develop a step-by-step algorithm for carrying out the method. The theory analysis and numerical example indicate that the algorithm is feasible and efficient.
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