Abstract:

The definition for cooperative fuzzy games on convex geometries is given. The Shapley function for cooperative fuzzy games on convex geometries is studied by corresponding axiomatic system. Meantime, in order to better understand the cooperative fuzzy games on convex geometries, the Shapley functions for two special kinds of cooperative fuzzy games on convex geometries are studied, and their existence and uniqueness are also proved, which extend the studying scope of cooperative fuzzy games. Finally, numerical examples are offered to explain the players’ payoffs on these kinds of cooperative fuzzy games.