Abstract
In the framework of fuzzy games with coalitional structures, the fuzzy coalitional core is proposed, which can be regarded as the generalization of the crisp coalitional core. It proves that the fuzzy coalitional core has the same polyhedrical structure as the crisp coalitional core. To complement this approach an axiomatization of the fuzzy coalitional core is studied using individually rational, consistency, modularity and anti-monotonicity.