求解多下层线性双层规划问题的模糊法  

Fuzzy approach for decentralized linear bilevel programming problems

作　　者：宋伟[1] 赵茂先[1] 

机构地区：[1]山东科技大学信息科学与工程学院,山东青岛266510

出　　处：《山东理工大学学报（自然科学版）》2011年第3期6-9,共4页Journal of Shandong University of Technology:Natural Science Edition

基　　金：国家自然科学基金资助项目(70971079);山东省自然科学基金资助项目(Y2008A01)

摘　　要：针对上层一个决策者、下层多个决策者的多下层线性双层规划问题进行研究,用模糊集理论的隶属函数描述决策者的目标函数,在上层决策者指定最小满意水平下,通过求解模糊规划来确定问题的满意解.算例表明,与传统的方法相比,该方法计算简单可行,且得到的解更优.This paper discusses a decentralized linear bilevel programming problem with a single decision maker at the upper level and multiple decision makers at the lower level.By using membership functions of fuzzy set theory the objective functions of all the decision makers are described.The decision maker at the upper level specifies the minimum satisfactory level,by solving fuzzy programming to determine the satisfactory solution of the problem.Example illustrates that it is more simple and feasible than the traditional methods.Compared with the traditional methods for the local solutions obtained,it gets better solution.

关 键 词：双层规划 模糊规划 隶属函数 最小满意水平 满意解 

分 类 号：O221[理学—运筹学与控制论]