On relationship between modified sets, topological spaces and rough sets
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Axiomatics for fuzzy rough sets
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Applying modifiers to knowledge acquisition
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Rough Sets: Theoretical Aspects of Reasoning about Data
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A comparative study of fuzzy rough sets
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On Rough Sets in Topological Boolean Algebras
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On Axiomatic Characterization of Fuzzy Approximation Operators II. The Rough Fuzzy Set Based Case
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An axiomatic characterization of a fuzzy generalization of rough sets
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Constructive and axiomatic approaches of fuzzy approximation operators
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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
Generalized rough sets based on reflexive and transitive relations
Information Sciences: an International Journal
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
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
On the structure of generalized rough sets
Information Sciences: an International Journal
Rough set theory for topological spaces
International Journal of Approximate Reasoning
Topology vs generalized rough sets
International Journal of Approximate Reasoning
On intuitionistic fuzzy topologies based on intuitionistic fuzzy reflexive and transitive relations
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Topological properties of generalized approximation spaces
Information Sciences: an International Journal
The relationship between L-fuzzy rough set and L-topology
Fuzzy Sets and Systems
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
IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics
The high-order Boltzmann machine: learned distribution and topology
IEEE Transactions on Neural Networks
On Some Mathematical Structures of T-Fuzzy Rough Set Algebras in Infinite Universes of Discourse
Fundamenta Informaticae - Advances in Rough Set Theory
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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. We also examine that a similarity crisp approximation space can produce a fuzzy clopen topological space. Finally, we present the sufficient and necessary conditions that a fuzzy interior (closure, respectively) operator derived from a fuzzy topological space can associate with a reflexive and transitive crisp relation such that the induced lower (upper, respectively) rough fuzzy approximation operator is exactly the fuzzy interior (closure, respectively) operator.