Bi-cooperative games with fuzzy bi-coalitions

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• 作者：Surajit Borkotokey^a ; ^{surajitbor@yahoo.com} ; Pranjal Sarmah^b
• 关键词：Fuzzy sets ; Bi-cooperative Games ; Bi-coalitions ; Shapley function
• 刊名：Fuzzy Sets and Systems
• 出版年：2012
• 期刊代码：55_01650114
• 类别：cp
• 出版时间：1 July, 2012
• 卷：198
• 期：Complete
• 页码：46-58
• 文件大小：230 K

摘要

In this paper, we introduce the notion of a bi-cooperative game with fuzzy bi-coalitions and discuss the related properties. In real game theoretic decision making problems, many criteria concerning the formation of coalitions have bipolar motives. Our model tries to explore such bipolarity in fuzzy environment. The corresponding Shapley axioms are proposed. An explicit form of the Shapley value as a possible solution concept to a particular class of such games is also obtained. Our study is supplemented with an illustrative example.