Extension of Shi's quasi-uniformities in a Kubiak-Šostak sense

DOI10.1016/j.fss.2006.03.013zbMath1111.54007OpenAlexW2057694202MaRDI QIDQ853382

Yueli Yue, Jinming Fang

Publication date: 15 November 2006

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

Full work available at URL: https://doi.org/10.1016/j.fss.2006.03.013

zbMATH Keywords

quasi-uniformityneighborhoodfuzzy co-topology

Mathematics Subject Classification ID

Fuzzy topology (54A40) Uniform structures and generalizations (54E15)

Related Items (13)

Degrees of compactness in \((L, M)\)-fuzzy convergence spaces and its applications ⋮ Lattice-valued preuniform convergence spaces ⋮ Uniform environments as a general framework for metrics and uniformities ⋮ On \((L,M)\)-fuzzy quasi-uniform spaces ⋮ Uniform structures in the beginning of the third millenium ⋮ Generalized quasi-proximities ⋮ Monoidal closedness of the category of stratified \(L\)-semiuniform convergence spaces ⋮ Regularity and normality of \((L,M)\)-fuzzy topological spaces ⋮ Topologies induced by pointwise L-fuzzifying quasi-uniformities ⋮ On fuzzy pseudo-metric spaces ⋮ Stratified \((L,M)\)-fuzzy quasi-uniform spaces ⋮ Analogizing Hutton's quasi-uniformities for complete lattices and extending Shi's quasi-uniformities to closed set lattices ⋮ (L,M)-fuzzy topological-convex spaces

Cites Work

• A theory of fuzzy uniformities with applications to the fuzzy real lines
• Upper semicontinuous fuzzy sets and applications
• Probabilistic metrization of fuzzy uniformities
• Theory of topological molecular lattices
• Uniformities on fuzzy topological spaces
• Pointwise uniformities in fuzzy set theory
• Fuzzyfying uniform spaces
• A comparison of various uniformities in fuzzy topology.
• Basic structures of fuzzy topology
• The category of pointwise S-proximity spaces
• Categories isomorphic to the Kubiak-Šostak extension of TML.
• On the Relationship Between Several Basic Categories in Fuzzy Topology
• Fuzzy topological spaces
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