Semantic analysis of inductive reasoning
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Tolerance approximation spaces
Fundamenta Informaticae - Special issue: rough sets
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
Relational interpretations of neighborhood operators and rough set approximation operators
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Using Rough Sets with Heuristics for Feature Selection
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Rough set theory applied to (fuzzy) ideal theory
Fuzzy Sets and Systems
Rough Sets: Theoretical Aspects of Reasoning about Data
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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
Algebraic Structures of Rough Sets
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Reduction and axiomization of covering generalized rough sets
Information Sciences: an International Journal
Logical Properties of Rough Sets
HPC '00 Proceedings of the The Fourth International Conference on High-Performance Computing in the Asia-Pacific Region-Volume 2 - Volume 2
Peculiarity Oriented Multidatabase Mining
IEEE Transactions on Knowledge and Data Engineering
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Case Generation Using Rough Sets with Fuzzy Representation
IEEE Transactions on Knowledge and Data Engineering
On the coverings by tolerance classes
Information Sciences—Informatics and Computer Science: An International Journal
An Extended Chi2 Algorithm for Discretization of Real Value Attributes
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On the abstraction of conventional dynamic systems: from numerical analysis to linguistic analysis
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Information Sciences—Informatics and Computer Science: An International Journal
Properties of the Fourth Type of Covering-Based Rough Sets
HIS '06 Proceedings of the Sixth International Conference on Hybrid Intelligent Systems
Properties of the Second Type of Covering-Based Rough Sets
WI-IATW '06 Proceedings of the 2006 IEEE/WIC/ACM international conference on Web Intelligence and Intelligent Agent Technology
Topological approaches to covering rough sets
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A novel approach to fuzzy rough sets based on a fuzzy covering
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Properties of the First Type of Covering-Based Rough Sets
ICDMW '06 Proceedings of the Sixth IEEE International Conference on Data Mining - Workshops
The quotient space theory of problem solving
RSFDGrC'03 Proceedings of the 9th international conference on Rough sets, fuzzy sets, data mining, and granular computing
Granular computing: structures, representations, and applications
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Rough sets: trends and challenges
RSFDGrC'03 Proceedings of the 9th international conference on Rough sets, fuzzy sets, data mining, and granular computing
On reduction of morphological covering rough sets
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
Covering-Based generalized rough fuzzy sets
RSKT'06 Proceedings of the First international conference on Rough Sets and Knowledge Technology
Axiomatic systems of generalized rough sets
RSKT'06 Proceedings of the First international conference on Rough Sets and Knowledge Technology
Covering based granular computing for conflict analysis
ISI'06 Proceedings of the 4th IEEE international conference on Intelligence and Security Informatics
Rough approximation operators in covering approximation spaces
RSCTC'06 Proceedings of the 5th international conference on Rough Sets and Current Trends in Computing
Developing intelligent applications in social e-mail networks
RSCTC'06 Proceedings of the 5th international conference on Rough Sets and Current Trends in Computing
Neighborhood systems and approximate retrieval
Information Sciences: an International Journal
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IEEE Transactions on Fuzzy Systems
On the generalization of fuzzy rough sets
IEEE Transactions on Fuzzy Systems
Generalized rough sets over fuzzy lattices
Information Sciences: an International Journal
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
The algebraic structures of generalized rough set theory
Information Sciences: an International Journal
Information Sciences: an International Journal
Relationship between generalized rough sets based on binary relation and covering
Information Sciences: an International Journal
Discernibility matrix simplification for constructing attribute reducts
Information Sciences: an International Journal
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
Relationship among basic concepts in covering-based rough sets
Information Sciences: an International Journal
Knowledge Reduction of Covering Approximation Space
Transactions on Computational Science V
On Covering Based Approximations of Classifications of Sets
IEA/AIE '09 Proceedings of the 22nd International Conference on Industrial, Engineering and Other Applications of Applied Intelligent Systems: Next-Generation Applied Intelligence
On axiomatic characterizations of three pairs of covering based approximation operators
Information Sciences: an International Journal
On some properties of covering based approximations of classifications of sets
Proceedings of the 2nd International Conference on Interaction Sciences: Information Technology, Culture and Human
Rough neuro-fuzzy structures for classification with missing data
IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics
An Interval-Valued Intuitionistic Fuzzy Rough Set Model
Fundamenta Informaticae
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Rough set theory based on two universal sets and its applications
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Reduction about approximation spaces of covering generalized rough sets
International Journal of Approximate Reasoning
Rough set approximations in formal concept analysis and knowledge spaces
ISMIS'08 Proceedings of the 17th international conference on Foundations of intelligent systems
An application of covering approximation spaces on network security
Computers & Mathematics with Applications
Poset approaches to covering-based rough sets
RSKT'10 Proceedings of the 5th international conference on Rough set and knowledge technology
Extension of covering approximation space and its application in attribute reduction
RSKT'10 Proceedings of the 5th international conference on Rough set and knowledge technology
Covering rough sets based on neighborhoods: An approach without using neighborhoods
International Journal of Approximate Reasoning
Axiomatization and conditions for neighborhoods in a covering to form a partition
Information Sciences: an International Journal
Rough sets for adapting wavelet neural networks as a new classifier system
Applied Intelligence
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Rule learning for classification based on neighborhood covering reduction
Information Sciences: an International Journal
Transversal and function matroidal structures of covering-based rough sets
RSKT'11 Proceedings of the 6th international conference on Rough sets and knowledge technology
Driver status recognition by neighborhood covering rules
RSKT'11 Proceedings of the 6th international conference on Rough sets and knowledge technology
RSKT'11 Proceedings of the 6th international conference on Rough sets and knowledge technology
Bipartite graphs and coverings
RSKT'11 Proceedings of the 6th international conference on Rough sets and knowledge technology
Textures and covering based rough sets
Information Sciences: an International Journal
Entropy and co-entropy of a covering approximation space
International Journal of Approximate Reasoning
A covering-based pessimistic multigranulation rough set
ICIC'11 Proceedings of the 7th international conference on Intelligent Computing: bio-inspired computing and applications
Generalized intuitionistic fuzzy rough sets based on intuitionistic fuzzy coverings
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Covering based rough set approximations
Information Sciences: an International Journal
The fourth type of covering-based rough sets
Information Sciences: an International Journal
Topological characterizations of covering for special covering-based upper approximation operators
Information Sciences: an International Journal
On some types of neighborhood-related covering rough sets
International Journal of Approximate Reasoning
Relationships among generalized rough sets in six coverings and pure reflexive neighborhood system
Information Sciences: an International Journal
Test-cost-sensitive attribute reduction
Information Sciences: an International Journal
NMGRS: Neighborhood-based multigranulation rough sets
International Journal of Approximate Reasoning
Communication between information systems with covering based rough sets
Information Sciences: an International Journal
An Axiomatic Approach to the Roughness Measure of Rough Sets
Fundamenta Informaticae
Attribute Reduction in Formal Contexts: A Covering Rough Set Approach
Fundamenta Informaticae - Knowledge Technology
An Interval-Valued Intuitionistic Fuzzy Rough Set Model
Fundamenta Informaticae
Three granular structure models in graphs
RSKT'12 Proceedings of the 7th international conference on Rough Sets and Knowledge Technology
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
Attribute Reduction Using Extension of Covering Approximation Space
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
Matroidal structure of rough sets and its characterization to attribute reduction
Knowledge-Based Systems
Quantitative analysis for covering-based rough sets through the upper approximation number
Information Sciences: an International Journal
Studies on the covering rough set and its matrix description
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
Approximations in Rough Sets vs Granular Computing for Coverings
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Multigranulation rough sets: From partition to covering
Information Sciences: an International Journal
A granular neural network: Performance analysis and application to re-granulation
International Journal of Approximate Reasoning
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Advances in Fuzzy Systems
An extension to rough c-means clustering algorithm based on boundary area elements discrimination
Transactions on Rough Sets XVI
Approximation of sets based on partial covering
Transactions on Rough Sets XVI
An extension to Rough c-means clustering based on decision-theoretic Rough Sets model
International Journal of Approximate Reasoning
Feature selection with test cost constraint
International Journal of Approximate Reasoning
Duality, conjugacy and adjointness of approximation operators in covering-based rough sets
International Journal of Approximate Reasoning
Characteristic matrix of covering and its application to Boolean matrix decomposition
Information Sciences: an International Journal
International Journal of Approximate Reasoning
Minimal Description and Maximal Description in Covering-based Rough Sets
Fundamenta Informaticae
Covering-based rough fuzzy sets and binary relation
Journal of Intelligent & Fuzzy Systems: Applications in Engineering and Technology
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Rough set theory is a useful tool for data mining. It is based on equivalence relations and has been extended to covering-based generalized rough set. This paper studies three kinds of covering generalized rough sets for dealing with the vagueness and granularity in information systems. First, we examine the properties of approximation operations generated by a covering in comparison with those of the Pawlak's rough sets. Then, we propose concepts and conditions for two coverings to generate an identical lower approximation operation and an identical upper approximation operation. After the discussion on the interdependency of covering lower and upper approximation operations, we address the axiomization issue of covering lower and upper approximation operations. In addition, we study the relationships between the covering lower approximation and the interior operator and also the relationships between the covering upper approximation and the closure operator. Finally, this paper explores the relationships among these three types of covering rough sets.