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Interactive fuzzy programming for random fuzzy two-level programming problems through possibility-based fractile model

机译：基于可能性的分形模型对随机模糊两级规划问题的交互式模糊规划

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摘要

This paper focuses on interactive decision making methods for random fuzzy two-level linear programming problems. Considering the probabilities that the decision makers' objective function values are smaller than or equal to target variables, fuzzy goals of the decision makers are introduced. Using the fractile model to optimize the target variables under the condition that the degrees of possibility with respect to the attained probabilities are greater than or equal to certain permissible levels, the original random fuzzy two-level programming problems are reduced to deterministic ones. Interactive fuzzy nonlinear programming to obtain 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.
机译：本文关注于随机模糊两级线性规划问题的交互式决策方法。考虑到决策者目标函数值小于或等于目标变量的可能性，引入了决策者的模糊目标。在相对于获得概率的可能性程度大于或等于某些允许水平的条件下，使用分形模型优化目标变量，将原始的随机模糊两层规划问题简化为确定性问题。考虑到决策者之间的合作关系，提出了交互式模糊非线性规划，为高层决策者提供了令人满意的解决方案。数值例子说明了该方法的可行性和有效性。

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