Fuzzy implication operators and generalized fuzzy method of cases
Fuzzy Sets and Systems
Fuzzy sets and fuzzy logic: theory and applications
Fuzzy sets and fuzzy logic: theory and applications
Axiomatics for fuzzy rough sets
Fuzzy Sets and Systems
Rough Sets: Theoretical Aspects of Reasoning about Data
Rough Sets: Theoretical Aspects of Reasoning about Data
A comparative study of fuzzy rough sets
Fuzzy Sets and Systems
On Rough Sets in Topological Boolean Algebras
RSKD '93 Proceedings of the International Workshop on Rough Sets and Knowledge Discovery: Rough Sets, Fuzzy Sets and Knowledge Discovery
Information Sciences—Informatics and Computer Science: An International Journal
An axiomatic characterization of a fuzzy generalization of rough sets
Information Sciences—Informatics and Computer Science: An International Journal
Constructive and axiomatic approaches of fuzzy approximation operators
Information Sciences—Informatics and Computer Science: An International Journal - Mining stream data
Topological approaches to covering rough sets
Information Sciences: an International Journal
Generalized fuzzy rough sets determined by a triangular norm
Information Sciences: an International Journal
On characterizations of ( I,T)-fuzzy rough approximation operators
Fuzzy Sets and Systems
On the topological properties of fuzzy rough sets
Fuzzy Sets and Systems
Constructive and algebraic methods of the theory of rough sets
Information Sciences: an International Journal
Rough set theory for topological spaces
International Journal of Approximate Reasoning
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
Transactions on Rough Sets V
On the generalization of fuzzy rough sets
IEEE Transactions on Fuzzy Systems
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In this paper, a dual pair of lower and upper fuzzy rough approximation operators determined by a fuzzy implication operator are defined and their properties are presented. Topological structures of fuzzy rough sets are then investigated. It is shown that the lower and upper fuzzy rough approximation operators are, respectively, an interior operator and a closure operator in a fuzzy topological space if and only if the fuzzy binary relation is reflexive and transitive.