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A set game, in which the worth of a coalition is expressed by a set instead of areal number, is a new type of cooperative game.A F-restricted set game is a set game restricted by partition system.The main theorems show the structures of IM-value,OIM-value,SCM-value and ICM-value respectively,and the equivalency of IM-value and the OIM-value for monotonicset games restricted by partition system as well.