广义特征函数下模糊对策的τ值  

value of fuzzy cooperative games with generalized characteristic functions

作　　者：裴虎城[1] 高作峰[1] 李晓春[1] 曹敏[1] 孙林林[1] 张丽敏[1] 

机构地区：[1]燕山大学理学院

出　　处：《辽宁工程技术大学学报（自然科学版）》2011年第5期770-773,共4页Journal of Liaoning Technical University (Natural Science)

基　　金：河北省高等学校科学研究计划基金资助项目(Z2010334)

摘　　要：为了使模糊合作对策的分配能更好的应用到现实的分配模型中,以模糊合作为工具,在传统τ值的基础上,定义了广义特征函数下模糊对策的τ值,同时讨论τ值的有效性、限制成比例性、可替代性、哑元性等性质,并用上述性质证明了τ值的存在唯一性。从而,扩展了模糊合作对策解的研究理论,具有一定的应用价值。In order to make the imputation of fuzzy cooperative game to be better utilised in realistic model,a new generalization for value of the fuzzy cooperative games is defined in this study.It is based on the coalition of fuzzy game and value.The new generalization for value has various properties including efficiency,restricted proportionality,substitutability,and dumb element.Based these properties,the uniqueness of value existence are proved.Therefore,this study expends the theory of fuzzy cooperative games and is of useful in some applications.

关 键 词：广义特征函数 模糊合作对策 τ值 核心 间隙函数 现实模型 模糊合作 哑元性 

分 类 号：O225[理学—运筹学与控制论]