支付函数为模糊数的多目标多人合作对策的纳什谈判解  

Nash Bargaining Solution of Multiobjective Many-person Cooperative Game When Payment Function Is Fuzzy Numbers

作　　者：王少龙[1] 叶仲泉[1] 

机构地区：[1]重庆大学数理学院,重庆400045

出　　处：《模糊系统与数学》2009年第4期115-119,共5页Fuzzy Systems and Mathematics

摘　　要：讨论了多目标多人合作对策中支付函数是模糊数的情形,利用模糊数学相关理论,对Nash提出的6条公理进行拓广,并证明这种情况下λ-纳什谈判解的存在性。In this paper, we discuss the situation that the payoff function of multi-objective many-person cooperative games are fuzzy numbers. Six axioms which proposed by Nash are extended by applying fuzzy mathematic techniques and the existence of Nash Bargaining Solution in this case is proved.

关 键 词：(模糊)多目标多人合作对策 Nash谈判解 λ截集 隶属函数 

分 类 号：O225[理学—运筹学与控制论]