Generalized Rough Sets and Implication Lattices

DOI10.1007/978-3-642-21563-6_10zbMath1306.03026OpenAlexW1553690MaRDI QIDQ3019861

Mihir Kumar Chakraborty, Pulak Samanta

Publication date: 29 July 2011

Published in: Transactions on Rough Sets XIV (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-642-21563-6_10

zbMATH Keywords

partitioncoveringrough setsmodal logicimplication lattice

Mathematics Subject Classification ID

Fuzzy logic; logic of vagueness (03B52) Theory of fuzzy sets, etc. (03E72) Logical aspects of lattices and related structures (03G10)

Related Items (9)

Covering-based rough sets and modal logics. I. ⋮ Some implicative topological quasi-Boolean algebras and rough set models ⋮ Neighborhood operators for covering-based rough sets ⋮ Notes on covering-based rough sets from topological point of view: relationships with general framework of dual approximation operators ⋮ Interface of Rough Set Systems and Modal Logics: A Survey ⋮ Three types of fuzzy covering-based rough set models ⋮ On some generalization of rough sets ⋮ A novel notion in rough set theory: invariant subspace ⋮ Modal systems for covering semantics and boundary operator

Cites Work

• A geometry of approximation. Rough set theory: logic, algebra and topology of conceptual patterns.
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• Relationship between generalized rough sets based on binary relation and covering
• A certain conception of the calculus of rough sets
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• Constructive and algebraic methods of the theory of rough sets
• Lattices with Interior and Closure Operators and Abstract Approximation Spaces
• Rough Approximation Operators in Covering Approximation Spaces
• Some Rough Consequence Logics and their Interrelations
• Granular Sets – Foundations and Case Study of Tolerance Spaces
• Rough sets
• On Extension of Dependency and Consistency Degrees of Two Knowledges Represented by Covering
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