The rough sets theory and evidence theory
Fundamenta Informaticae
Fuzzy rough sets: application to feature selection
Fuzzy Sets and Systems
Variable precision rough set model
Journal of Computer and System Sciences
From rough set theory to evidence theory
Advances in the Dempster-Shafer theory of evidence
On the relationship of extended necessity measures to implication operators on the unit interval
Information Sciences—Intelligent Systems: An International Journal
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 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
Possibility and necessity measure specification using modifiers for decision making under fuzziness
Fuzzy Sets and Systems - Special issue: Preference modelling and applications
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
A novel approach to fuzzy rough sets based on a fuzzy covering
Information Sciences: an International Journal
Minimization of axiom sets on fuzzy approximation operators
Information Sciences: an International Journal
Learning fuzzy rules from fuzzy samples based on rough set technique
Information Sciences: an International Journal
Rough variables with values in measurable spaces
Information Sciences: an International Journal
Rough fuzzy approximations on two universes of discourse
Information Sciences: an International Journal
International Journal of Approximate Reasoning
Information Sciences: an International Journal
Generalized rough sets over fuzzy lattices
Information Sciences: an International Journal
The lower and upper approximations in a quotient hypermodule with respect to fuzzy sets
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
On fuzzy approximation operators in attribute reduction with fuzzy rough sets
Information Sciences: an International Journal
Measures of general fuzzy rough sets on a probabilistic space
Information Sciences: an International Journal
Generalized fuzzy rough sets determined by a triangular norm
Information Sciences: an International Journal
Attribute Reduction Based on Fuzzy Rough Sets
RSEISP '07 Proceedings of the international conference on Rough Sets and Intelligent Systems Paradigms
On characterization of intuitionistic fuzzy rough sets based on intuitionistic fuzzy implicators
Information Sciences: an International Journal
Knowledge structure, knowledge granulation and knowledge distance in a knowledge base
International Journal of Approximate Reasoning
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
Set-valued ordered information systems
Information Sciences: an International Journal
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
Algebraic Properties of Adjunction-Based Fuzzy Rough Sets
RSFDGrC '07 Proceedings of the 11th International Conference on Rough Sets, Fuzzy Sets, Data Mining and Granular Computing
Fuzzy Approximation Operators Based on Coverings
RSFDGrC '07 Proceedings of the 11th International Conference on Rough Sets, Fuzzy Sets, Data Mining and Granular Computing
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
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
The model of fuzzy variable precision rough sets
IEEE Transactions on Fuzzy Systems
On fuzzy rough sets based on tolerance relations
Information Sciences: an International Journal
A short note on some properties of rough groups
Computers & Mathematics with Applications
FRSVMs: Fuzzy rough set based support vector machines
Fuzzy Sets and Systems
A molecular solution to the hitting-set problem in DNA-based supercomputing
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
An Interval-Valued Intuitionistic Fuzzy Rough Set Model
Fundamenta Informaticae
Generalized lower and upper approximations in a ring
Information Sciences: an International Journal
Gaussian kernel based fuzzy rough sets: Model, uncertainty measures and applications
International Journal of Approximate Reasoning
Fuzzy preference based rough sets
Information Sciences: an International Journal
A note on definability and approximations
Transactions on rough sets VII
Local reduction of decision system with fuzzy rough sets
Fuzzy Sets and Systems
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
Feature Selection via Maximizing Fuzzy Dependency
Fundamenta Informaticae
Research on rough set theory and applications in China
Transactions on rough sets VIII
Information Sciences: an International Journal
Research on the model of rough set over dual-universes
Knowledge-Based Systems
New roughness measures of the interval-valued fuzzy sets
Expert Systems with Applications: An International Journal
The incremental method for fast computing the rough fuzzy approximations
Data & Knowledge Engineering
The Knowledge Engineering Review
Fuzzy rough set based attribute reduction for information systems with fuzzy decisions
Knowledge-Based Systems
On minimization of axiom sets characterizing covering-based approximation operators
Information Sciences: an International Journal
Case-based classifiers with fuzzy rough 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
On axiomatic characterization of approximation operators based on atomic boolean algebras
RSKT'06 Proceedings of the First international conference on Rough Sets and Knowledge Technology
Covering-Based generalized rough fuzzy sets
RSKT'06 Proceedings of the First international conference on Rough Sets and Knowledge Technology
Decision table reduction in KDD: fuzzy rough based approach
Transactions on Rough Sets XI
A comparative study of rough sets for hybrid data
Information Sciences: an International Journal
Geometrical interpretation and applications of membership functions with fuzzy rough sets
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
The minimization of axiom sets characterizing generalized fuzzy rough approximation operators
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
Roughness based on fuzzy ideals
Information Sciences: an International Journal
Neighborhood systems and approximate retrieval
Information Sciences: an International Journal
Information Sciences: an International Journal
Generalized intuitionistic fuzzy rough sets based on intuitionistic fuzzy coverings
Information Sciences: an International Journal
Blood sugar regularization based evolutionary algorithm for data classification
Applied Soft Computing
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
An Interval-Valued Intuitionistic Fuzzy Rough Set Model
Fundamenta Informaticae
Topological properties of the pessimistic multigranulation rough set model
RSKT'12 Proceedings of the 7th international conference on Rough Sets and Knowledge Technology
On interval type-2 rough fuzzy sets
Knowledge-Based Systems
Topological and lattice structures of L-fuzzy rough sets determined by lower and upper sets
Information Sciences: an International Journal
Soft Minimum-Enclosing-Ball Based Robust Fuzzy Rough Sets
Fundamenta Informaticae - Rough Sets and Knowledge Technology (RSKT 2010)
On characterization of generalized interval type-2 fuzzy rough sets
Information Sciences: an International Journal
On the structure of the multigranulation rough set model
Knowledge-Based Systems
The necessary and sufficient conditions for a fuzzy relation being Τ-Euclidean
Information Sciences: an International Journal
Using one axiom to characterize rough set and fuzzy rough set approximations
Information Sciences: an International Journal
AICI'12 Proceedings of the 4th international conference on Artificial Intelligence and Computational Intelligence
Relationships between covering-based rough sets and relation-based rough sets
Information Sciences: an International Journal
A matroidal approach to rough set theory
Theoretical Computer Science
Can fuzzy entropies be effective measures for evaluating the roughness of a rough set?
Information Sciences: an International Journal
Rough matroids based on relations
Information Sciences: an International Journal
Axiomatic characterizations of dual concept lattices
International Journal of Approximate Reasoning
Generalized fuzzy rough approximation operators determined by fuzzy implicators
International Journal of Approximate Reasoning
Fuzzy rough based regularization in Generalized Multiple Kernel Learning
Computers & Mathematics with Applications
On fuzzy topological structures of rough fuzzy sets
Transactions on Rough Sets XVI
Composite rough sets for dynamic data mining
Information Sciences: an International Journal
A novel variable precision (θ,σ)-fuzzy rough set model based on fuzzy granules
Fuzzy Sets and Systems
Structure of feature spaces related to fuzzy similarity relations as kernels
Fuzzy Sets and Systems
An improved algorithm for calculating fuzzy attribute reducts
Journal of Intelligent & Fuzzy Systems: Applications in Engineering and Technology
Covering-based rough fuzzy sets and binary relation
Journal of Intelligent & Fuzzy Systems: Applications in Engineering and Technology
Rough sets based on complete completely distributive lattice
Information Sciences: an International Journal
Rough sets based on complete completely distributive lattice
Information Sciences: an International Journal
Hierarchical description of uncertain information
Information Sciences: an International Journal
Hi-index | 0.01 |
In rough set theory, the lower and upper approximation operators defined by a fixed binary relation satisfy many interesting properties. Several authors have proposed various fuzzy generalizations of rough approximations. In this paper, we introduce the definitions for generalized fuzzy lower and upper approximation operators determined by a residual implication. Then we find the assumptions which permit a given fuzzy set-theoretic operator to represent a upper (or lower) approximation derived from a special fuzzy relation. Different classes of fuzzy rough set algebras are obtained from different types of fuzzy relations. And different sets of axioms of fuzzy set-theoretic operator guarantee the existence of different types of fuzzy relations which produce the same operator. Finally, we study the composition of two approximation spaces. It is proved that the approximation operators in the composition space are just the composition of the approximation operators in the two fuzzy approximation spaces.