Generalized rough sets based on neighborhood systems and topological spaces

DOI10.1016/j.joems.2016.02.002zbMath1350.54011OpenAlexW2335950810MaRDI QIDQ334583

R. Mareay

Publication date: 1 November 2016

Published in: Journal of the Egyptian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.joems.2016.02.002

zbMATH Keywords

rough setstopologycoreneighborhood systems

Mathematics Subject Classification ID

Theory of fuzzy sets, etc. (03E72) Topological spaces and generalizations (closure spaces, etc.) (54A05) Fuzzy topology (54A40)

Related Items

Approximation spaces inspired by subset rough neighborhoods with applications ⋮ On rough sets induced by fuzzy relations approach in semigroups ⋮ Improvement of the approximations and accuracy measure of a rough set using somewhere dense sets

Cites Work

• A study of rough sets based on 1-neighborhood systems
• Approximations and uncertainty measures in incomplete information systems
• Rough sets and Boolean reasoning
• Symmetric and tufted assignments of neighbourhoods and metrization
• The algebraic structures of generalized rough set theory
• A comparison of two types of rough sets induced by coverings
• Reduction about approximation spaces of covering generalized rough sets
• Semantic analysis of inductive reasoning
• Some properties of the Sorgenfrey line and related spaces
• Extensions and intensions in the rough set theory
• Constructive and algebraic methods of the theory of rough sets
• Reduction and axiomization of covering generalized rough sets.
• Relational interpretations of neighborhood operators and rough set approximation operators
• Rough set theory for topological spaces
• Generalized rough sets based on relations
• Using one axiom to characterize rough set and fuzzy rough set approximations
• Rough sets
• Fuzzy sets
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item