Convex fuzzy games and participation monotonic allocation schemes

In this paper, the cone of convex cooperative fuzzy games is studied. As in the classical case of convex crisp games, these games have a large core and the fuzzy Shapley value is the barycenter of the core. Surprisingly, the core and the Weber set coincide as in the classical case but the coincidence of these sets for a fuzzy game does not imply automatically convexity as in the crisp case. Participation monotonic allocation schemes (pamas) are introduced and it turns out that each core element of a convex fuzzy game is pamas extendable. (C) 2002 Elsevier B.V. All rights reserved.