Tolerance approximation spaces
Fundamenta Informaticae - Special issue: rough sets
Rough set approach to incomplete information systems
Information Sciences: 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
On Rough Sets in Topological Boolean Algebras
RSKD '93 Proceedings of the International Workshop on Rough Sets and Knowledge Discovery: Rough Sets, Fuzzy Sets and Knowledge Discovery
Topological approaches to covering rough sets
Information Sciences: an International Journal
Generalized rough approximations in Ł Π12
International Journal of Approximate Reasoning
Generalized rough sets based on reflexive and transitive relations
Information Sciences: an International Journal
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
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
Three-way decisions with probabilistic rough sets
Information Sciences: an International Journal
Topological solution of missing attribute values problem in incomplete information tables
Information Sciences: an International Journal
MGRS: A multi-granulation rough set
Information Sciences: an International Journal
Granular computing applied to ontologies
International Journal of Approximate Reasoning
Topology vs generalized rough sets
International Journal of Approximate Reasoning
Rough approximations of vague sets in fuzzy approximation space
International Journal of Approximate Reasoning
Determination of the threshold value β of variable precision rough set by fuzzy algorithms
International Journal of Approximate Reasoning
Matroidal approaches to rough sets via closure operators
International Journal of Approximate Reasoning
International Journal of Approximate Reasoning
On some types of neighborhood-related covering rough sets
International Journal of Approximate Reasoning
International Journal of Approximate Reasoning
Four matroidal structures of covering and their relationships with rough sets
International Journal of Approximate Reasoning
Generalized fuzzy rough approximation operators determined by fuzzy implicators
International Journal of Approximate Reasoning
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The original rough set model was developed by Pawlak, which is mainly concerned with the approximation of objects using an equivalence relation on the universe of his approximation space. This paper extends Pawlak's rough set theory to a topological model where the set approximations are defined using the topological notion @d@b-open sets. A number of important results using the topological notion @d@b-open set are obtained. We also, proved that some of the properties of Pawlak's rough set model are special instances of those of topological generalizations. Moreover, several important measures, related to the new model, such as accuracy measure and quality of approximation are presented.