| Rough set and fuzzy set are mathematical tools for dealing with uncertain data,and they have wide application prospects.Thus many mathematicians devote to study of them recent-ly.This paper focuses on fuzzy β covering rough sets,including constructing approximation operators of fuzzy β covering rough sets and giving their application.(1)In this paper,four kinds of approximation operators of fuzzy β covering rough sets are constructed by set union and intersection operators to combine a family of approximations respectively,and their properties are investigated.Then,their relationships of four kinds of fuzzy 0 covering rough sets are studied.Finally,the matrix representations of fuzzy β covering rough sets are proposed.(2)In the fuzzy β covering approximation space,combining fuzzy β covering rough sets and multi-granulation,four kinds of multi-granulation fuzzy β covering rough set models are constructed,and their properties are discussed.As a result,the practicability of the models are illustrated by an example. |
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