In this paper, an optimized general formula for distributing gains
of fuzzy cooperative players, fuzzy coalitions, is proposed. The
game is characterized by a fuzzy characteristic function. The
formula is derived from a linear multi-objective optimization
model for fuzzy cooperative games developed earlier. In the
developed model, players do not need to know precise
information about the payoff value or even to form a crisp
coalition. The optimality of the proposed formula is proved and
the properties are verified. The formula is applied to a joint
production problem for the purpose of validation and the obtained
results are compared with Shapley value for solving fuzzy
games. The proposed formula has the advantage of being easier
and of less computational effort when compared to applying
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