Variable precision rough set model
Journal of Computer and System Sciences
On relationship between modified sets, topological spaces and rough sets
Fuzzy Sets and Systems
Constructive and algebraic methods of the theory of rough sets
Information Sciences: an International Journal
Axiomatics for fuzzy rough sets
Fuzzy Sets and Systems
&agr;-RST: a generalization of rough set theory
Information Sciences—Informatics and Computer Science: An International Journal
On axiomatic characterisations of crisp approximation operators
Information Sciences—Informatics and Computer Science: An International Journal
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
A Generalized Definition of Rough Approximations Based on Similarity
IEEE Transactions on Knowledge and Data Engineering
Rough Approximate Operators: Axiomatic Rough Set Theory
RSKD '93 Proceedings of the International Workshop on Rough Sets and Knowledge Discovery: Rough Sets, Fuzzy Sets and Knowledge Discovery
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
Reduction and axiomization of covering generalized rough sets
Information Sciences: an International Journal
On Axiomatic Characterization of Fuzzy Approximation Operators II. The Rough Fuzzy Set Based Case
ISMVL '01 Proceedings of the 31st IEEE International Symposium on Multiple-Valued Logic
On equivalent forms of fuzzy logic systems NM and IMTL
Fuzzy Sets and Systems
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
The Axiomatization of the Rough Set Upper Approximation Operations
Fundamenta Informaticae
Generalized rough sets over fuzzy lattices
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
Axiomatic systems of generalized rough sets
RSKT'06 Proceedings of the First international conference on Rough Sets and Knowledge Technology
Fuzzy rough sets based on residuated lattices
Transactions on Rough Sets II
The relationship between L-fuzzy rough set and L-topology
Fuzzy Sets and Systems
Approximation Operators, Binary Relation and Basis Algebra in L-fuzzy Rough Sets
Fundamenta Informaticae - Knowledge Technology
Bipolar fuzzy rough set model on two different universes and its application
Knowledge-Based Systems
Topological and lattice structures of L-fuzzy rough sets determined by lower and upper sets
Information Sciences: an International Journal
The necessary and sufficient conditions for a fuzzy relation being Τ-Euclidean
Information Sciences: an International Journal
IMTLMV-filters and fuzzy IMTLMV-filters of residuated lattices
Journal of Intelligent & Fuzzy Systems: Applications in Engineering and Technology
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Rough set theory was developed by Pawlak as a formal tool for approximate reasoning about data. Various fuzzy generalizations of rough approximations have been proposed in the literature. As a further generalization of the notion of rough sets, L-fuzzy rough sets were proposed by Radzikowska and Kerre. In this paper, we present an operator-oriented characterization of L-fuzzy rough sets, that is, L-fuzzy approximation operators are defined by axioms. The methods of axiomatization of L-fuzzy upper and L-fuzzy lower set-theoretic operators guarantee the existence of corresponding L-fuzzy relations which produce the operators. Moreover, the relationship between L-fuzzy rough sets and L-topological spaces is obtained. The sufficient and necessary condition for the conjecture that an L-fuzzy interior (closure) operator derived from an L-fuzzy topological space can associate with an L-fuzzy reflexive and transitive relation such that the corresponding L-fuzzy lower (upper) approximation operator is the L-fuzzy interior (closure) operator is examined.