关键词: 粗糙集, 模糊粗糙集, 粗糙模糊集, 多重粗糙集, 多重粗糙模糊集, 多重集

Abstract: To fully describe the overlap among knowledge particles, significance difference among objects and polymorphism of objects, based on multi-set, an expansion was made on the domain of rough fuzzy set model in the sense of Dubois rough fuzzy set, multiple rough fuzzy set model was put forward, their corresponding definitions, theorems and properties were fully described, which included the definitions of multiple rough fuzzy approximate sets, approximation accuracy and definable sets, proofs of their important properties, relations among rough approximation operators in multiple rough sets and relations between Dubois rough fuzzy sets and multiple rough fuzzy sets. Multiple rough fuzzy sets can conveniently find associated knowledge from data with one-to-many dependency and fuzzy properties.

Key words: rough set, fuzzy rough set, rough fuzzy set, multiple rough set, multiple rough fuzzy set, multi-set