Similarity of binary relations based on complete Boolean lattices and related results

DOI10.1007/s00500-016-2086-1zbMath1388.54010OpenAlexW2290466611MaRDI QIDQ1701695

Ningxin Xie, Gangqiang Zhang, Zhaowen Li

Publication date: 27 February 2018

Published in: Soft Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00500-016-2086-1

zbMATH Keywords

similaritybinary relation\(L\)-fuzzy topologyrough approximationcomplete Boolean lattice\(L\)-fuzzy approximating space

Mathematics Subject Classification ID

Fuzzy topology (54A40) Structure theory of Boolean algebras (06E05)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• On IVF approximating spaces
• The relationship between \(L\)-fuzzy rough set and \(L\)-topology
• Topological properties of generalized approximation spaces
• Topological structure of generalized rough sets
• Similarity of fuzzy relations based on fuzzy topologies induced by fuzzy rough approximation operators
• Topology vs generalized rough sets
• Fuzzy preorder and fuzzy topology
• Rudiments of rough sets
• Rough sets: some extensions
• Rough sets and Boolean reasoning
• The algebraic structures of generalized rough set theory
• An axiomatic approach of fuzzy rough sets based on residuated lattices
• Constructive and algebraic methods of the theory of rough sets
• \(T\)-similarity of fuzzy relations and related algebraic structures
• Relational interpretations of neighborhood operators and rough set approximation operators
• On relationship between modified sets, topological spaces and rough sets
• Rough set theory for topological spaces
• L-fuzzy sets
• Learning sets and topologies
• Fuzzy sets