Semantic analysis of inductive reasoning
Theoretical Computer Science
Extensions and intentions in the rough set theory
Information Sciences: an International Journal
Relational interpretations of neighborhood operators and rough set 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
A Generalized Definition of Rough Approximations Based on Similarity
IEEE Transactions on Knowledge and Data Engineering
On Generalizing Pawlak Approximation Operators
RSCTC '98 Proceedings of the First International Conference on Rough Sets and Current Trends in Computing
Reduction and axiomization of covering generalized rough sets
Information Sciences: an International Journal
Maximal consistent block technique for rule acquisition in incomplete information systems
Information Sciences: an International Journal
On the coverings by tolerance classes
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
Information Sciences: an International Journal
Entropies and Co-Entropies of Coverings with Application to Incomplete Information Systems
Fundamenta Informaticae - New Frontiers in Scientific Discovery - Commemorating the Life and Work of Zdzislaw Pawlak
A novel approach to fuzzy rough sets based on a fuzzy covering
Information Sciences: an International Journal
Properties of the First Type of Covering-Based Rough Sets
ICDMW '06 Proceedings of the Sixth IEEE International Conference on Data Mining - Workshops
Information Sciences: an International Journal
On Three Types of Covering-Based Rough Sets
IEEE Transactions on Knowledge and Data Engineering
Measuring roughness of generalized rough sets induced by a covering
Fuzzy Sets and Systems
Generalized fuzzy rough approximation operators based on fuzzy coverings
International Journal of Approximate Reasoning
Comparison between different kinds of approximations by using a family of binary relations
Knowledge-Based Systems
Relationship between generalized rough sets based on binary relation and covering
Information Sciences: an International Journal
A New Type of Covering Approximation Operators
ICECT '09 Proceedings of the 2009 International Conference on Electronic Computer Technology
A comparison of two types of rough sets induced by coverings
International Journal of Approximate Reasoning
Approaches to knowledge reduction of covering decision systems based on information theory
Information Sciences: an International Journal
Relationship among basic concepts in covering-based rough sets
Information Sciences: an International Journal
Granular Sets --- Foundations and Case Study of Tolerance Spaces
RSFDGrC '07 Proceedings of the 11th International Conference on Rough Sets, Fuzzy Sets, Data Mining and Granular Computing
Information Entropy and Granulation Co---Entropy of Partitions and Coverings: A Summary
Transactions on Rough Sets X
On axiomatic characterizations of three pairs of covering based approximation operators
Information Sciences: an International Journal
Covering Based Approaches to Rough Sets and Implication Lattices
RSFDGrC '09 Proceedings of the 12th International Conference on Rough Sets, Fuzzy Sets, Data Mining and Granular Computing
Constructive and algebraic methods of the theory of rough sets
Information Sciences: an International Journal
Reduction about approximation spaces of covering generalized rough sets
International Journal of Approximate Reasoning
RSKT'07 Proceedings of the 2nd international conference on Rough sets and knowledge technology
A note on definability and approximations
Transactions on rough sets VII
On generalizing rough set theory
RSFDGrC'03 Proceedings of the 9th international conference on Rough sets, fuzzy sets, data mining, and granular computing
Information Sciences: an International Journal
Poset approaches to covering-based rough sets
RSKT'10 Proceedings of the 5th international conference on Rough set and knowledge technology
Temporal dynamics in rough sets based on coverings
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
A comparison of two kinds of definitions of rough approximations based on a similarity relation
Information Sciences: an International Journal
On minimization of axiom sets characterizing covering-based approximation operators
Information Sciences: an International Journal
Covering numbers in covering-based rough sets
RSFDGrC'11 Proceedings of the 13th international conference on Rough sets, fuzzy sets, data mining and granular computing
Covering rough set model based on multi-granulations
RSFDGrC'11 Proceedings of the 13th international conference on Rough sets, fuzzy sets, data mining and granular computing
Rule learning for classification based on neighborhood covering reduction
Information Sciences: an International Journal
A variable precision covering generalized rough set model
RSKT'11 Proceedings of the 6th international conference on Rough sets and knowledge technology
Transversal and function matroidal structures of covering-based rough sets
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
The reduction and fusion of fuzzy covering systems based on the evidence theory
International Journal of Approximate Reasoning
Covering-Based generalized rough fuzzy sets
RSKT'06 Proceedings of the First international conference on Rough Sets and Knowledge Technology
Rough approximation operators in covering approximation spaces
RSCTC'06 Proceedings of the 5th international conference on Rough Sets and Current Trends in Computing
Subsystem based generalizations of rough set approximations
ISMIS'05 Proceedings of the 15th international conference on Foundations of Intelligent Systems
Characteristic relations for incomplete data: a generalization of the indiscernibility relation
Transactions on Rough Sets IV
Neighborhood systems and approximate retrieval
Information Sciences: an International Journal
Matroidal approaches to rough sets via closure operators
International Journal of Approximate Reasoning
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
Rough Sets, Coverings and Incomplete Information
Fundamenta Informaticae - Advances in Rough Set Theory
Attribute Reduction in Formal Contexts: A Covering Rough Set Approach
Fundamenta Informaticae - Knowledge Technology
Information-theoretic measures associated with rough set approximations
Information Sciences: an International Journal
NMGRS: Neighborhood-based multigranulation rough sets
International Journal of Approximate Reasoning
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
Using one axiom to characterize rough set and fuzzy rough set approximations
Information Sciences: an International Journal
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
Entropy measures and granularity measures for set-valued information systems
Information Sciences: an International Journal
Multigranulation rough sets: From partition to covering
Information Sciences: an International Journal
A novel method for attribute reduction of covering decision systems
Information Sciences: an International Journal
Four matroidal structures of covering and their relationships with rough sets
International Journal of Approximate Reasoning
Approximation of sets based on partial covering
Transactions on Rough Sets XVI
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
Duality in Rough Set Theory Based on the Square of Opposition
Fundamenta Informaticae - To Andrzej Skowron on His 70th Birthday
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We propose a framework for the study of covering based rough set approximations. Three equivalent formulations of the classical rough sets are examined by using equivalence relations, partitions, and @s-algebras, respectively. They suggest the element based, the granule based and the subsystem based definitions of approximation operators. Covering based rough sets are systematically investigated by generalizing these formulations and definitions. A covering of universe of objects is used to generate different neighborhood operators, neighborhood systems, coverings, and subsystems of the power set of the universe. They are in turn used to define different types of generalized approximation operators. Within the proposed framework, we review and discuss covering based approximation operators according to the element, granule, and subsystem based definitions.