求解上层含约束条件的模糊二层多随从线性规划的结构元方法  

Solving Fuzzy Bilevel Linear Programming with Multiple Followers under Upper Constraints by Structured Element Method

作　　者：邓胜岳[1] 汪新凡[1] 杨小娟[1] 

机构地区：[1]湖南工业大学理学院,湖南株洲412007

出　　处：《湖南工业大学学报》2013年第5期5-8,12,共5页Journal of Hunan University of Technology

基　　金：湖南工业大学自然科学研究基金资助项目(2011HZX17);湖南省科技计划基金资助项目(2012FJ4116);湖南省自然科学基金资助项目(11JJ6068);教育部人文社科基金资助项目(12YJA630114;10YJC630338)

摘　　要：讨论了一类上层含约束条件的模糊二层多随从线性规划模型;利用结构元理论,证明了该模型的最优解等价于上层含约束条件的二层多随从线性规划模型最优解;并通过极点搜索法,得到了该模型最优解;最后通过数值算例验证了该方法的可行性。Fuzzy bilevel linear programming model with multiple followers under upper constraints is discussed; The model optimal solution is proved to be equivalent to the optimal solution of typical bilevel linear programming model with multiple followers by structured element theory. By means of the vertex enumeration approach, the optimal solution of the model is obtained. An illustrative numerical example is provided to demonstrate the feasibility and efficiency of the pro- posed method.

关 键 词：二层线性规划 多随从 模糊系数 结构元 

分 类 号：O221.1[理学—运筹学与控制论]