On relationship between modified sets, topological spaces and rough sets
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Topological approaches to covering rough sets
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Generalized rough sets based on reflexive and transitive relations
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Note on "Generalized rough sets based on reflexive and transitive relations"
Information Sciences: an International Journal
On characterizations of ( I,T)-fuzzy rough approximation operators
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On the topological properties of fuzzy rough sets
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Constructive and algebraic methods of the theory of rough sets
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Rough set theory for topological spaces
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A study on relationship between fuzzy rough approximation operators and fuzzy topological spaces
FSKD'05 Proceedings of the Second international conference on Fuzzy Systems and Knowledge Discovery - Volume Part I
On generalized rough fuzzy approximation operators
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Intuitionistic fuzzy topologies in crisp approximation spaces
RSKT'12 Proceedings of the 7th international conference on Rough Sets and Knowledge Technology
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A rough fuzzy set is the result of approximation of a fuzzy set with respect to a crisp approximation space. In this paper, we investigate topological structures of rough fuzzy sets. We first show that a reflexive crisp rough approximation space can induce a fuzzy Alexandrov space. We then prove that the lower and upper rough fuzzy approximation operators are, respectively, the fuzzy interior operator and fuzzy closure operator if and only if the binary relation in the crisp approximation space is reflexive and transitive. Finally, we examine that a similarity crisp approximation space can produce a fuzzy clopen topological space.