Open Access
2014 Integral Representations of Cooperative Game with Fuzzy Coalitions
Jinhui Pang, Xiang Chen
J. Appl. Math. 2014(SI10): 1-9 (2014). DOI: 10.1155/2014/639684

Abstract

Classical extensions of fuzzy game models are based on various integrals, such as Butnariu game and Tsurumi game. A new class of symmetric extension of fuzzy game with fuzzy coalition variables is put forward with Concave integral, where players’ expected values are on a partial set of coalitions. Some representations and properties of some limited models are compared in this paper. The explicit formula of characteristic function determined by coalition variables is given. Moreover, a calculation approach of imputations is discussed in detail. The new game could be regarded as a general form of cooperative game. Furthermore, the fuzzy game introduced by Tsurumi is a special case of the proposed game when game is convex.

Citation

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Jinhui Pang. Xiang Chen. "Integral Representations of Cooperative Game with Fuzzy Coalitions." J. Appl. Math. 2014 (SI10) 1 - 9, 2014. https://doi.org/10.1155/2014/639684

Information

Published: 2014
First available in Project Euclid: 1 October 2014

zbMATH: 07010706
MathSciNet: MR3178966
Digital Object Identifier: 10.1155/2014/639684

Rights: Copyright © 2014 Hindawi

Vol.2014 • No. SI10 • 2014
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