Tolerance approximation spaces
Fundamenta Informaticae - Special issue: rough sets
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 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
Reduction and axiomization of covering generalized rough sets
Information Sciences: an International Journal
Topological approaches to covering rough sets
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
Characteristic Relations in Generalized Incomplete Information System
WKDD '08 Proceedings of the First International Workshop on Knowledge Discovery and Data Mining
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
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
On the structure of generalized 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
Topology vs generalized rough sets
International Journal of Approximate Reasoning
Covering rough sets based on neighborhoods: An approach without using neighborhoods
International Journal of Approximate Reasoning
Data compression with homomorphism in covering information systems
International Journal of Approximate Reasoning
Neighborhood systems-based rough sets in incomplete information system
Knowledge-Based Systems
The reduction and fusion of fuzzy covering systems based on the evidence theory
International Journal of Approximate Reasoning
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
Generalization of Pawlak's rough approximation spaces by using δβ-open sets
International Journal of Approximate Reasoning
Four matroidal structures of covering and their relationships with rough sets
International Journal of Approximate Reasoning
Duality, conjugacy and adjointness of approximation operators in covering-based rough sets
International Journal of Approximate Reasoning
International Journal of Approximate Reasoning
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Covering rough sets are natural extensions of the classical rough sets by relaxing the partitions to coverings. Recently, the concept of neighborhood has been applied to define different types of covering rough sets. In this paper, by introducing a new notion of complementary neighborhood, we consider some types of neighborhood-related covering rough sets, two of which are firstly defined. We first show some basic properties of the complementary neighborhood. We then explore the relationships between the considered covering rough sets and investigate the properties of them. It is interesting that the set of all the lower and upper approximations belonging to the considered types of covering rough sets, equipped with the binary relation of inclusion @?, constructs a lattice. Finally, we also discuss the topological importance of the complementary neighborhood and investigate the topological properties of the lower and upper approximation operators.