One-to-one correspondence between fuzzifying topologies and fuzzy preorders

DOI10.1016/j.fss.2007.03.016zbMath1137.54005OpenAlexW2065460951MaRDI QIDQ2372308

Piwei Chen, Jinming Fang

Publication date: 26 July 2007

Published in: Fuzzy Sets and Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.fss.2007.03.016

zbMATH Keywords

Fuzzifying topologyFuzzy relationFuzzy preorder

Mathematics Subject Classification ID

Fuzzy topology (54A40)

Related Items (17)

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Cites Work

• Fuzzy preorder and fuzzy topology
• On the structure of F-indistinguishability operators
• Upper semicontinuous fuzzy sets and applications
• Smooth topological spaces
• Fuzzy topological spaces and fuzzy compactness
• Categories isomorphic to FNS
• Fixed points and generators of fuzzy relations
• On relationships among fuzzy approximation operators, fuzzy topology, and fuzzy automata.
• On the topological properties of fuzzy rough sets
• The fuzzy Tychonoff theorem
• \(I\)-\textbf{FTOP} is isomorphic to \(I\)-\textbf{FQN} and \(I\)-\textbf{AITOP}
• Fuzzy \(T\)-transitive relations: Eigenvectors and generators
• Basic structures of fuzzy topology
• Categories isomorphic to \(L\)-FTOP
• A new approach for fuzzy topology. I
• Openings and closures of fuzzy preorderings: theoretical basics and applications to fuzzy rule-based systems
• Fuzzy topological spaces
• Unnamed Item
• Unnamed Item
• Unnamed Item

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