Integral Representations of Cooperative Game with Fuzzy Coalitions. (1st March 2014)

• Record Type: Journal Article
• Authors: Pang, Jinhui; Chen, Xiang
• Other Names: Nie Pu-yan Academic Editor.
• Is Part Of: Journal of applied mathematics. Volume 2014(2014)
• Publication Date: 2014-03-01
• Subjects: Mathematics -- Periodicals; 519.05
• DOI: 10.1155/2014/639684
• Languages: English
• ISSNs: 1110-757X

Abstract

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.