We introduce the concept of a fuzzy coalition structure on a finite set of players. Then, we propose a new model of a cooperative fuzzy game with transferable utility: an existing coalition is assumed to endeavour in a branch of industry, and a deviation of a new coalition from the coalition structure is seen as an opportunity of the coalition. Based on these premisses, we introduce the concept of the core of the cooperative fuzzy TU-game with respect to a general fuzzy coalition structure. Finally, we define the concept of balancedness and formulate a generalization of the Bondareva-Shapley Theorem.