A note on specialization \(L\)-preorder of \(L\)-topological spaces, \(L\)-fuzzifying topological spaces, and \(L\)-fuzzy topological spaces

DOI10.1016/J.FSS.2008.03.023zbMath1182.54016OpenAlexW2090869126WikidataQ57587765 ScholiaQ57587765MaRDI QIDQ835243

Fu-Gui Shi, Wei Yao

Publication date: 28 August 2009

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

Full work available at URL: https://doi.org/10.1016/j.fss.2008.03.023

zbMATH Keywords

topologycategory theory\(L\)-fuzzy topologyspatial frameGalois correspondence\(L\)-topology\(L\)-preorder\(L\)-fuzzifying topology

Mathematics Subject Classification ID

Fuzzy topology (54A40)

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Cites Work

• Unnamed Item
• Unnamed Item
• Fuzzy preorder and fuzzy topology
• Fuzzy submonoids, fuzzy preorders and quasi-metrics
• Initial and final fuzzy topologies and the fuzzy Tychonoff theorem
• Categories isomorphic to FNS
• \(L\)-fuzzifying topologies as \(L\)-topologies
• On the reflectivity and coreflectivity of \(L\)-fuzzyfying topological spaces in \(L\)-topological spaces.
• One-to-one correspondence between fuzzifying topologies and fuzzy preorders
• Fuzzy orders and fuzzifying topologies
• Generated \(I\)-fuzzy topological spaces
• \(I\)-fuzzy Alexandrov topologies and specialization orders
• Sums of \(L\)-fuzzy topological spaces
• A new approach for fuzzy topology. I

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