Jun Wei Zhou, Degang Chen
Abstract
A method for rough sets fuzzification by using the equivalence relation is given. The definitions of the set of equivalence class and rough set being fuzzified are presented and the fact that fuzzified rough sets can constitute the fuzzy subsystem is proved.
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A method for rough sets fuzzification by using the equivalence relation is given. The definitions of the set of equivalence class and rough set being fuzzified are presented and the fact that fuzzified rough sets can constitute the fuzzy subsystem is proved.
Key concepts: Rough set, Equivalence relation, Equivalence class (music), Equivalence (formal languages), Fuzzy set, Mathematics, Class (philosophy), Dominance-based rough set approach