A New Class of Cooperative Fuzzy Games on Choquet Integral

In the paper, we make a study of cooperative fuzzy games with infinite players and with fuzzy coalitions, which admit the representation of rates of players´ participation to each coalition. We propose a natural class of fuzzy games with Choquet integral form which has many rational properties, such as monotonicity, convexity and superadditivity. Finally, we prove that the proposed fuzzy game is of bounded variation, nonatomic and continuous with respect to the rates of players´ participation.