Generalized rough sets over fuzzy lattices |
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Authors: | Guilong Liu |
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Affiliation: | School of Information Science, Beijing Language and Culture University, Beijing 100083, PR China |
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Abstract: | This paper studies generalized rough sets over fuzzy lattices through both the constructive and axiomatic approaches. From the viewpoint of the constructive approach, the basic properties of generalized rough sets over fuzzy lattices are obtained. The matrix representation of the lower and upper approximations is given. According to this matrix view, a simple algorithm is obtained for computing the lower and upper approximations. As for the axiomatic approach, a set of axioms is constructed to characterize the upper approximation of generalized rough sets over fuzzy lattices. |
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Keywords: | Rough sets Generalized rough sets Fuzzy lattices Approximation operators Axioms |
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