模糊支付合作对策的模糊Shapley值  

On Fuzzy Shapley Value for Cooperative Games with Fuzzy Payoffs

作　　者：邹正兴[1,2] 高作峰[2] 张欣[1] 蔡海涛[1] 

机构地区：[1]燕京理工学院基础部,河北三河065201 [2]燕山大学理学院,河北秦皇岛066004

出　　处：《西南师范大学学报（自然科学版）》2013年第11期51-58,共8页Journal of Southwest China Normal University(Natural Science Edition)

基　　金：河北省自然科学基金资助项目(A2005000301);河北省高等学校科学研究计划基金资助项目(Z2010334)

摘　　要：利用模糊数的相关性质对具有模糊收益的合作对策进行了研究,通过建立公理体系,提出了类Shapley值的概念,并以此为基础,重新定义了模糊Shapley值,给出了该模糊Shapley值的相关性质及存在的条件.In this paper, the fuzzy Shapley value for cooperative games with fuzzy payoffs has been investigated. The Shapley-like value has been introduced on the base of the axiom system and α-cuts of a fuzzy number. Then, the fuzzy Shapley value for cooperative games with fuzzy payoffs has been defined. The existence condition and some properties of the fuzzy Shapley value are also given.

关 键 词：模糊数 合作对策 类Shapley值 模糊Shapley值 模糊收益 α-截集对策 

分 类 号：O225[理学—运筹学与控制论]