Interactive fuzzy programming for fuzzy random two-level linear programming problems through probability maximization with possibility
Interactive fuzzy programming for fuzzy random two-level linear programming problems through probability maximization with possibility
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DOI：
10.1016/j.eswa.2012.10.052
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发表时间：
2013-06
期刊：
影响因子：
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通讯作者：
M. Sakawa;Takeshi Matsui
中科院分区：
文献类型：
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作者：
M. Sakawa;Takeshi Matsui
研究了决策者合作行为下的模糊随机变量两层线性规划问题。通过引入模糊目标和可能性测度，将模糊随机两层线性规划问题转化为使每个模糊目标的满意度最大化的问题。通过采用概率极大化方法，将转化后的随机两层规划问题转化为确定性问题。考虑到决策者之间的合作关系，提出了一种交互式模糊规划方法来求解上层决策者的满意解。数值算例验证了该方法的可行性和有效性。
This paper considers two-level linear programming problems involving fuzzy random variables under cooperative behavior of the decision makers. Through the introduction of fuzzy goals together with possibility measures, the formulated fuzzy random two-level linear programming problem is transformed into the problem to maximize the satisfaction degree for each fuzzy goal. By adopting probability maximization, the transformed stochastic two-level programming problem can be reduced to a deterministic one. Interactive fuzzy programming to derive a satisfactory solution for the decision maker at the upper level in consideration of the cooperative relation between decision makers is presented. An illustrative numerical example demonstrates the feasibility and efficiency of the proposed method.