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
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
Algebraic Structures of Rough Sets
RSKD '93 Proceedings of the International Workshop on Rough Sets and Knowledge Discovery: Rough Sets, Fuzzy Sets and Knowledge Discovery
On Axiomatic Characterizations of Fuzzy Approximation Operators
RSCTC '00 Revised Papers from the Second International Conference on Rough Sets and Current Trends in Computing
Information Sciences—Informatics and Computer Science: An International Journal
Reduction and axiomization of covering generalized rough sets
Information Sciences: 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
Topological approaches to covering rough sets
Information Sciences: an International Journal
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
Approximations and reducts with covering generalized rough sets
Computers & Mathematics with Applications
Generalized fuzzy rough sets determined by a triangular norm
Information Sciences: an International Journal
Generalized rough sets based on reflexive and transitive relations
Information Sciences: an International Journal
Relationship between generalized rough sets based on binary relation and covering
Information Sciences: an International Journal
Note on "Generalized rough sets based on reflexive and transitive relations"
Information Sciences: an International Journal
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
On axiomatic characterizations of three pairs of covering based approximation operators
Information Sciences: an International Journal
On characterizations of ( I,T)-fuzzy rough approximation operators
Fuzzy Sets and Systems
On the topological properties of fuzzy rough sets
Fuzzy Sets and Systems
Constructive and algebraic methods of the theory of rough sets
Information Sciences: an International Journal
On the structure of generalized rough sets
Information Sciences: an International Journal
RSKT'07 Proceedings of the 2nd international conference on Rough sets and knowledge technology
On generalizing rough set theory
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
Covering-Based generalized rough fuzzy sets
RSKT'06 Proceedings of the First international conference on Rough Sets and Knowledge Technology
Topological structure of generalized rough sets
Computers & Mathematics with Applications
Covering based rough set approximations
Information Sciences: an International Journal
Tolerance Approximation Spaces
Fundamenta Informaticae
Application of hybrid case-based reasoning for enhanced performance in bankruptcy prediction
Information Sciences: an International Journal
Pessimistic rough set based decisions: A multigranulation fusion strategy
Information Sciences: an International Journal
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Rough set theory is an important technique to deal with vagueness and granularity in information systems. In rough set theory, relation-based rough sets and covering-based rough sets are two important extensions of the classical rough sets. This paper investigates relationships between relation-based rough sets and covering-based rough sets. Firstly, we unify five types of covering-based rough sets under a framework of a type of relation-based rough sets, and establish the equivalences between four types of covering-based rough sets and the type of relation-based rough sets, respectively. Then, within the proposed framework, conditions required for two different coverings to generate the same approximation operators are investigated. We also present some sufficient and necessary conditions for different types of covering-based rough sets to be equal. Furthermore, two examples are taken to illustrate applications of the discussion about relationships between covering-based rough sets and relation-based rough sets.