Interactive random fuzzy two-level programming through possibility-based probability model
Interactive random fuzzy two-level programming through possibility-based probability model
复制标题
DOI：
10.1016/j.ins.2013.03.024
复制
发表时间：
2013-08
期刊：
影响因子：
--
通讯作者：
M. Sakawa;Takeshi Matsui
中科院分区：
文献类型：
--
作者：
M. Sakawa;Takeshi Matsui
研究随机模糊两级线性规划问题的交互式决策方法。假设决策者关心的是自己的目标函数值小于或等于某个目标值的概率，引入了决策者对概率的模糊目标。然后，考虑了基于可能性的概率模型，以最大化可能性的程度相对于获得的概率。在考虑决策者之间的合作关系的情况下，提出了一种交互式模糊非线性规划方法，以获得上层决策者满意的解。算例说明了该方法的可行性和有效性。
This paper considers interactive decision making methods for random fuzzy two-level linear programming problems. Assuming that the decision makers concern about the probabilities that their own objective function values are smaller than or equal to certain target values, fuzzy goals of the decision makers for the probabilities are introduced. Then, the possibility-based probability model to maximize the degrees of possibility with respect to the attained probability is considered. 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.