Fuzzy Sets and Systems
Fuzzy rough sets: application to feature selection
Fuzzy Sets and Systems
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
On the relationship of extended necessity measures to implication operators on the unit interval
Information Sciences—Intelligent Systems: An International Journal
Axiomatics for fuzzy rough sets
Fuzzy Sets and Systems
Relational interpretations of neighborhood operators and rough set approximation operators
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
Information Sciences—Informatics and Computer Science: 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
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
Constructive and algebraic methods of the theory of rough sets
Information Sciences: an International Journal
Minimization of axiom sets on fuzzy approximation operators
Information Sciences: an International Journal
(θ,T)-fuzzy rough approximation operators and the TL-fuzzy rough ideals on a ring
Information Sciences: an International Journal
Rough fuzzy approximations on two universes of discourse
Information Sciences: an International Journal
On generalized intuitionistic fuzzy rough approximation operators
Information Sciences: an International Journal
Generalized fuzzy rough approximation operators based on fuzzy coverings
International Journal of Approximate Reasoning
Axiomatic systems for rough sets and fuzzy rough sets
International Journal of Approximate Reasoning
Generalized fuzzy rough sets determined by a triangular norm
Information Sciences: an International Journal
Rough approximation operators on two universes of discourse and their fuzzy extensions
Fuzzy Sets and Systems
On characterization of intuitionistic fuzzy rough sets based on intuitionistic fuzzy implicators
Information Sciences: an International Journal
A comparison of two types of rough sets induced by coverings
International Journal of Approximate Reasoning
An axiomatic approach of fuzzy rough sets based on residuated lattices
Computers & Mathematics with Applications
Topological Residuated Lattice: A Unifying Algebra Representation of Some Rough Set Models
RSKT '09 Proceedings of the 4th International Conference on Rough Sets and Knowledge Technology
On Fuzzy Rough Set Algebras in Infinite Universes
RSKT '09 Proceedings of the 4th International Conference on Rough Sets and Knowledge Technology
Fuzzy Concept Lattices Determined by (θ,σ)-Fuzzy Rough Approximation Operators
RSKT '09 Proceedings of the 4th International Conference on Rough Sets and Knowledge Technology
Information-Theoretic Measure of Uncertainty in Generalized Fuzzy Rough Sets
RSFDGrC '07 Proceedings of the 11th International Conference on Rough Sets, Fuzzy Sets, Data Mining and Granular Computing
Approximation Algebra and Framework
Fundamenta Informaticae - Fundamentals of Knowledge Technology
On axiomatic characterizations of three pairs of covering based approximation operators
Information Sciences: an International Journal
On characterization of generalized interval-valued fuzzy rough sets on two universes of discourse
International Journal of Approximate Reasoning
On generalized fuzzy belief functions in infinite spaces
IEEE Transactions on Fuzzy Systems
New approaches to fuzzy-rough feature selection
IEEE Transactions on Fuzzy Systems
Uncertainty Measures of Roughness of Knowledge and Rough Sets in Ordered Information Systems
ICIC '07 Proceedings of the 3rd International Conference on Intelligent Computing: Advanced Intelligent Computing Theories and Applications. With Aspects of Artificial Intelligence
An Interval-Valued Intuitionistic Fuzzy Rough Set Model
Fundamenta Informaticae
Generalized lower and upper approximations in a ring
Information Sciences: an International Journal
A unifying abstract approach for rough models
RSKT'08 Proceedings of the 3rd international conference on Rough sets and knowledge technology
Topological spaces for fuzzy rough sets determined by fuzzy implication operators
FSKD'09 Proceedings of the 6th international conference on Fuzzy systems and knowledge discovery - Volume 6
The Knowledge Engineering Review
Attribute reduction based on generalized fuzzy evidence theory in fuzzy decision systems
Fuzzy Sets and Systems
On minimization of axiom sets characterizing covering-based approximation operators
Information Sciences: an International Journal
The relationship between L-fuzzy rough set and L-topology
Fuzzy Sets and Systems
Dominance-based fuzzy rough approach to an interval-valued decision system
Frontiers of Computer Science in China
A note on “Generalized fuzzy rough approximation operators based on fuzzy coverings”
International Journal of Approximate Reasoning
Some fuzzy topologies induced by rough fuzzy sets
RSKT'11 Proceedings of the 6th international conference on Rough sets and knowledge technology
FSKD'06 Proceedings of the Third international conference on Fuzzy Systems and Knowledge Discovery
Binary relation based rough sets
FSKD'06 Proceedings of the Third international conference on Fuzzy Systems and Knowledge Discovery
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
The ϑ-lower and T-upper fuzzy rough approximation operators on a semigroup
Information Sciences: an International Journal
Probabilistic rough set over two universes and rough entropy
International Journal of Approximate Reasoning
Generalized intuitionistic fuzzy rough sets based on intuitionistic fuzzy coverings
Information Sciences: an International Journal
A general frame for intuitionistic fuzzy rough sets
Information Sciences: an International Journal
On Some Mathematical Structures of T-Fuzzy Rough Set Algebras in Infinite Universes of Discourse
Fundamenta Informaticae - Advances in Rough Set Theory
The Construction of Fuzzy Concept Lattices Based on (&thgr;, σ)-Fuzzy Rough Approximation Operators
Fundamenta Informaticae - Knowledge Technology
Approximation Algebra and Framework
Fundamenta Informaticae - Fundamentals of Knowledge Technology
An Interval-Valued Intuitionistic Fuzzy Rough Set Model
Fundamenta Informaticae
Matroidal structure of rough sets and its characterization to attribute reduction
Knowledge-Based Systems
The necessary and sufficient conditions for a fuzzy relation being Τ-Euclidean
Information Sciences: an International Journal
Relationships between covering-based rough sets and relation-based rough sets
Information Sciences: an International Journal
Generalized fuzzy rough approximation operators determined by fuzzy implicators
International Journal of Approximate Reasoning
On fuzzy topological structures of rough fuzzy sets
Transactions on Rough Sets XVI
A novel variable precision (θ,σ)-fuzzy rough set model based on fuzzy granules
Fuzzy Sets and Systems
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In rough set theory, the lower and upper approximation operators defined by a fixed binary relation satisfy many interesting properties. Various fuzzy generalizations of rough approximations have been made in the literature. This paper proposes a general framework for the study of (I,T)-fuzzy rough approximation operators within which both constructive and axiomatic approaches are used. In the constructive approach, a pair of lower and upper generalized fuzzy rough approximation operators, determined by an implicator I and a triangular norm T, is first defined. Basic properties of (I,T)-fuzzy rough approximation operators are investigated. The connections between fuzzy relations and fuzzy rough approximation operators are further established. In the axiomatic approach, an operator-oriented characterization of rough sets is proposed, that is, (I,T)-fuzzy approximation operators are defined by axioms. Different axiom sets of T-upper and I-lower fuzzy set-theoretic operators guarantee the existence of different types of fuzzy relations which produce the same operators. Finally, an open problem proposed by Radzikowska and Kerre in (Fuzzy Sets and Systems 126 (2002) 137) is solved.