Information Sciences: an International Journal
Theoretical Computer Science
Extensions and intentions in the rough set theory
Information Sciences: an International Journal
Constructive and algebraic methods of the theory of rough sets
Information Sciences: an International Journal
A comparative study of fuzzy sets and rough sets
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
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
Reduction and axiomization of covering generalized rough sets
Information Sciences: an International Journal
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
A roughness measure for fuzzy sets
Information Sciences—Informatics and Computer Science: An International Journal
Topological approaches to covering rough sets
Information Sciences: an International Journal
The Axiomatization of the Rough Set Upper Approximation Operations
Fundamenta Informaticae
On Three Types of Covering-Based Rough Sets
IEEE Transactions on Knowledge and Data Engineering
On characterizations of ( I,T)-fuzzy rough approximation operators
Fuzzy Sets and Systems
Rough sets over the boolean algebras
RSFDGrC'05 Proceedings of the 10th international conference on Rough Sets, Fuzzy Sets, Data Mining, and Granular Computing - Volume Part I
Algebraic approach to generalized rough sets
RSFDGrC'05 Proceedings of the 10th international conference on Rough Sets, Fuzzy Sets, Data Mining, and Granular Computing - Volume Part I
On generalized rough fuzzy approximation operators
Transactions on Rough Sets V
Fuzzy rough sets based on residuated lattices
Transactions on Rough Sets II
On the generalization of fuzzy rough sets
IEEE Transactions on Fuzzy Systems
Dependence-space-based attribute reductions in inconsistent decision information systems
International Journal of Approximate Reasoning
Note on "Generalized rough sets based on reflexive and transitive relations"
Information Sciences: an International Journal
An Equivalent Definition of Rough Sets
RSCTC '08 Proceedings of the 6th International Conference on Rough Sets and Current Trends in Computing
A comparison of two types of rough sets induced by coverings
International Journal of Approximate Reasoning
On axiomatic characterizations of three pairs of covering based approximation operators
Information Sciences: an International Journal
Algebraic aspects of generalized approximation spaces
International Journal of Approximate Reasoning
Lattice Structures of Rough Fuzzy Sets
RSFDGrC '09 Proceedings of the 12th International Conference on Rough Sets, Fuzzy Sets, Data Mining and Granular Computing
Invertible approximation operators of generalized rough sets and fuzzy rough sets
Information Sciences: an International Journal
Axiomatic approaches of rough set approximation operators in fuzzy formal contexts
FSKD'09 Proceedings of the 6th international conference on Fuzzy systems and knowledge discovery - Volume 6
Rough approximations of vague sets in fuzzy approximation space
International Journal of Approximate Reasoning
On minimization of axiom sets characterizing covering-based approximation operators
Information Sciences: an International Journal
Dominance-based fuzzy rough set analysis of uncertain and possibilistic data tables
International Journal of Approximate Reasoning
Approximation operators based on vague relations and roughness measures of vague sets
Frontiers of Computer Science in China
Multi knowledge based rough approximations and applications
Knowledge-Based Systems
Probabilistic rough set over two universes and rough entropy
International Journal of Approximate Reasoning
International Journal of Approximate Reasoning
Topological characterizations of covering for special covering-based upper approximation operators
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
Axiomatic systems for rough set-valued homomorphisms of associative rings
International Journal of Approximate Reasoning
Generalized fuzzy rough approximation operators determined by fuzzy implicators
International Journal of Approximate Reasoning
Composite rough sets for dynamic data mining
Information Sciences: an International Journal
Nullity-based matroid of rough sets and its application to attribute reduction
Information Sciences: an International Journal
Characteristic matrix of covering and its application to Boolean matrix decomposition
Information Sciences: an International Journal
A categorical representation of algebraic domains based on variations of rough approximable concepts
International Journal of Approximate Reasoning
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Rough set theory is an important tool for approximate reasoning about data. Axiomatic systems of rough sets are significant for using rough set theory in logical reasoning systems. In this paper, outer product method are used in rough set study for the first time. By this approach, we propose a unified lower approximation axiomatic system for Pawlak's rough sets and fuzzy rough sets. As the dual of axiomatic systems for lower approximation, a unified upper approximation axiomatic characterization of rough sets and fuzzy rough sets without any restriction on the cardinality of universe is also given. These rough set axiomatic systems will help to understand the structural feature of various approximate operators.