Fuzzy Sets and Systems
Fuzzy rough sets: application to feature selection
Fuzzy Sets and Systems
Variable precision rough set model
Journal of Computer and System Sciences
Constructive and algebraic methods of the theory of rough sets
Information Sciences: an International Journal
Information-theoretic measures of uncertainty for rough sets and rough relational databases
Information Sciences: 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
Fuzzy Sets and Systems
On axiomatic characterisations of crisp approximation operators
Information Sciences—Informatics and Computer Science: An International Journal
Rough set theory applied to (fuzzy) ideal theory
Fuzzy Sets and Systems
Rough Sets: Theoretical Aspects of Reasoning about Data
Rough Sets: Theoretical Aspects of Reasoning about Data
Fuzzy Relational Systems: Foundations and Principles
Fuzzy Relational Systems: Foundations and Principles
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
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
A weighted rough set based method developed for class imbalance learning
Information Sciences: an International Journal
On characterizations of ( I,T)-fuzzy rough approximation operators
Fuzzy Sets and Systems
The minimization of axiom sets characterizing generalized approximation operators
Information Sciences: an International Journal
On the generalization of fuzzy rough sets
IEEE Transactions on Fuzzy Systems
Reasoning with rough description logics: An approximate concepts approach
Information Sciences: an International Journal
On characterization of intuitionistic fuzzy rough sets based on intuitionistic fuzzy implicators
Information Sciences: an International Journal
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
Attribute selection with fuzzy decision reducts
Information Sciences: an International Journal
On axiomatic characterizations of three pairs of covering based approximation operators
Information Sciences: an International Journal
Generalized lower and upper approximations in a ring
Information Sciences: an International Journal
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
Information Sciences: an International Journal
Soft fuzzy rough sets for robust feature evaluation and selection
Information Sciences: an International Journal
Qualitative approximations of fuzzy sets and non-classical three-valued logics (I)
RSKT'10 Proceedings of the 5th international conference on Rough set and knowledge technology
On minimization of axiom sets characterizing covering-based approximation operators
Information Sciences: an International Journal
Fuzzy rough granular neural networks, fuzzy granules, and classification
Theoretical Computer Science
A class of rough multiple objective programming and its application to solid transportation problem
Information Sciences: an International Journal
Rough set theory applied to lattice theory
Information Sciences: an International Journal
Parameterized attribute reduction with Gaussian kernel based 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
Using one axiom to characterize rough set and fuzzy rough set approximations
Information Sciences: an International Journal
Fuzzy rough granular self-organizing map and fuzzy rough entropy
Theoretical Computer Science
Some properties of generalized rough sets
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
Multi-granulation fuzzy rough sets
Journal of Intelligent & Fuzzy Systems: Applications in Engineering and Technology
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The theory of rough sets has become well established as an approach for uncertainty management in a wide variety of applications. Various fuzzy generalizations of rough approximations have been made over the years. This paper presents a general framework for the study of T-fuzzy rough approximation operators in which both the constructive and axiomatic approaches are used. By using a pair of dual triangular norms in the constructive approach, some definitions of the upper and lower approximation operators of fuzzy sets are proposed and analyzed by means of arbitrary fuzzy relations. The connections between special fuzzy relations and the T-upper and T-lower approximation operators of fuzzy sets are also examined. In the axiomatic approach, an operator-oriented characterization of rough sets is proposed, that is, T-fuzzy approximation operators are defined by axioms. Different axiom sets of T-upper and T-lower fuzzy set-theoretic operators guarantee the existence of different types of fuzzy relations producing the same operators. The independence of axioms characterizing the T-fuzzy rough approximation operators is examined. Then the minimal sets of axioms for the characterization of the T-fuzzy approximation operators are presented. Based on information theory, the entropy of the generalized fuzzy approximation space, which is similar to Shannon's entropy, is formulated. To measure uncertainty in T-generalized fuzzy rough sets, a notion of fuzziness is introduced. Some basic properties of this measure are examined. For a special triangular norm T=min, it is proved that the measure of fuzziness of the generalized fuzzy rough set is equal to zero if and only if the set is crisp and definable.