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The axiomatization of rough similarity degree

Rough similarity degree is used to measure the degree of similarity between two rough sets. The definition of rough similarity degree is generalized and the axiomatic definition of rough similarity degree is proposed. Several new forms of a rough similarity degree, which satisfies the axiomatic definition, are given. According to different cases in fact, the best form of a rough similarity degree can be chosen to measure the degree of similarity between two rough sets.