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2014 Generalized Fuzzy Shapley Function for Fuzzy Games
Chunqiao Tan, Xiaohong Chen
J. Appl. Math. 2014: 1-14 (2014). DOI: 10.1155/2014/327921

Abstract

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.

Citation

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Chunqiao Tan. Xiaohong Chen. "Generalized Fuzzy Shapley Function for Fuzzy Games." J. Appl. Math. 2014 1 - 14, 2014. https://doi.org/10.1155/2014/327921

Information

Published: 2014
First available in Project Euclid: 2 March 2015

zbMATH: 07131524
Digital Object Identifier: 10.1155/2014/327921

Rights: Copyright © 2014 Hindawi

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