Generalized Fuzzy Shapley Function for Fuzzy Games | Zendy

Chunqiao Tan | Zendy; Xiaohong Chen | Zendy

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Generalized Fuzzy Shapley Function for Fuzzy Games

Author(s) -

Chunqiao Tan,

Xiaohong Chen

Publication year - 2014

Publication title -

journal of applied mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.307

H-Index - 43

eISSN - 1687-0042

pISSN - 1110-757X

DOI - 10.1155/2014/327921

Subject(s) - mathematics , fuzzy logic , fuzzy number , generalization , characteristic function (probability theory) , fuzzy mathematics , axiom , fuzzy measure theory , function (biology) , mathematical economics , fuzzy set , mathematical optimization , computer science , mathematical analysis , artificial intelligence , probability density function , geometry , statistics , evolutionary biology , biology

A generalized fuzzy Shapley function for fuzzy games is proposed. First, a game with fuzzy characteristic function is introduced. Based on Hukuhara difference, the fuzzy Hukuhara-Shapley function is proposed as a solution concept to this class of fuzzy games. Some of its properties are shown. An equivalent axiomatic characterization of the fuzzy Hukuhara-Shapley function is given. Furthermore, a generalized fuzzy Shapley function for games with fuzzy coalition and fuzzy characteristic function is developed. It is shown that the simplified expression of the generalized fuzzy Shapley function can be regarded as the generalization of the fuzzy Shapley function defined for some particular games with fuzzy coalition and fuzzy characteristic function

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