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
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