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.

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