基于确定可能性均值法求解模糊随机双层规划问题

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任爱红.基于确定可能性均值法求解模糊随机双层规划问题[J].,2018,58(2):213-220

基于确定可能性均值法求解模糊随机双层规划问题

A method based on crisp possibilistic mean value for solving fuzzy random bilevel programming problem

DOI：10.7511/dllgxb201802016

中文关键词:双层规划模糊随机变量模糊数 K次最好算法

英文关键词:bilevel programming fuzzy random variable fuzzy number Kth-best algorithm\@

基金项目:国家自然科学基金资助项目(61602010)；陕西省自然科学基础研究计划项目(2017JQ6046)；陕西省教育厅专项科研计划项目(17JK0047).

作者	单位
任爱红

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中文摘要:

针对目标函数和约束函数中系数均为模糊随机变量的双层规划问题，基于模糊随机变量的期望值概念，将原模糊随机双层规划问题变形为一个模糊双层规划问题．采用模糊数的确定可能性均值对上下层目标函数进行去模糊化，利用基于可能性测度的模糊机会约束方法处理模糊约束函数，提出模糊随机双层确定可能性均值-机会约束规划模型，并给出其确定等价模型，再运用K次最好算法求解最终确定模型．最后通过数值例子验证了所提方法的可行性．

英文摘要:

A kind of bilevel programming problem involving fuzzy random variable coefficients in both objective functions and constraint functions is considered. Based on the notion of the expectation of a fuzzy random variable, the fuzzy random bilevel programming problem is converted into a fuzzy bilevel programming problem. Subsequently, the crisp possibilistic mean value of a fuzzy number is used to defuzzy the upper and lower level objective functions and fuzzy chance constrained method based on possibility is applied to handle fuzzy constraint functions, and then a fuzzy random bilevel crisp possibilistic mean value-chance constrained programming model is developed. Then the crisp equivalent model is given and the Kth-best algorithm is employed to deal with it. Finally, numerical examples testify the feasibility of the proposed method.

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基于确定可能性均值法求解模糊随机双层规划问题

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