求解上层含约束条件且具有模糊决策变量二层线性规划的结构元方法  

Solving Bilevel Linear Programming with Upper Constraint and Fuzzy Decision Variables through Structured Element Method

作　　者：邓胜岳[1] 周立前[2] 

机构地区：[1]湖南工业大学理学院,湖南株洲412007 [2]湖南工业大学计算机与通信学院,湖南株洲412007

出　　处：《模糊系统与数学》2014年第6期105-112,共8页Fuzzy Systems and Mathematics

基　　金：湖南省教育厅一般项目(14C0350);湖南省"十二五"重点学科(湖南工业大学电气工程);湖南省自然科学基金资助项目(2015JJ2047)

摘　　要：讨论一类含模糊决策变量二层线性规划模型,利用模糊结构元理论,证明该模型最优解等价于二层线性规划模型最优解,并通过极点搜索法得到该模型最优解,最后通过数值算例验证该方法的可行性。Bilevel linear programming with upper constraint and fuzzy decision variables, a typical model optimal solution, is proved to be equivalent to the optimal solution of the bilevel linear programming model by using fuzzy structured element theory in this paper. By using the vertex enumeration approach, the optimal solution of the bilevel linear programming model is found out. Finally, an illustrative numerical example for the bilevel linear programming with fuzzy decision variables model is provided to demonstrate the feasibility and efficiency of the proposed method.

关 键 词：二层线性规划 模糊决策变量 结构元 

分 类 号：O221[理学—运筹学与控制论]