上层含约束条件且具有模糊决策变量的二层多随从线性规划  

Bi-level multiple followers linear programming with upper constraint and fuzzy decision variables

作　　者：邓胜岳[1] 周立前[2] 汪新凡[1] 

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：《控制与决策》2014年第10期1803-1808,共6页Control and Decision

基　　金：湖南省教育厅一般项目(14C0350);湖南省自然科学基金项目(14JJ3127;13JJ3109);湖南省教育厅重点项目(13A004);教育部人文社科项目(12YJA630114)

摘　　要：提出并研究了一类上层含约束条件且具有模糊决策变量的二层多随从线性规划模型,利用结构元理论证明了该模型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,利用Kuhn-Tucker方法得到了该模型最优解,并通过数值算例验证了该方法的可行性.The bi-level multiple followers linear programming with upper constraint and fuzzy decision variables model is firstly established and investigated, and the model optimal solution is proved to be equivalent to the optimal solution of the bi- level multiple followers linear programming model by using structured element theory. By using the Kuhn-Tucker approach, the optimal solution of the model is proved. Finally, an illustrative numerical example for the bi-level multiple followers linear programming with upper constraint and fuzzy decision variables model is provided to demonstrate the feasibility of the proposed method.

关 键 词：二层线性规划 多随从 模糊决策变量 结构元 

分 类 号：O221.1[理学—运筹学与控制论]