Fuzzy proximities and totally bounded fuzzy uniformities

DOI10.1016/0022-247X(84)90221-XzbMath0558.54002OpenAlexW2056465093MaRDI QIDQ762784

Roberto Moresco, Giuliano Artico

Publication date: 1984

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-247x(84)90221-x

zbMATH Keywords

fuzzy proximityfuzzy uniformity

Mathematics Subject Classification ID

Fuzzy topology (54A40) Uniform structures and generalizations (54E15) Proximity structures and generalizations (54E05)

Related Items (32)

Fuzzy proximities compatible with Lowen fuzzy uniformities ⋮ \(L\)-fuzzy Smirnov compactifications ⋮ Gradations of uniformity and gradations of proximity ⋮ Uniform properties of normal and compact fuzzy topological spaces ⋮ L-fuzzy basic proximity spaces ⋮ Generalized quasi-proximities ⋮ \(L\)-contiguities and their order structure ⋮ A note on classical and fuzzy f-proximities ⋮ Fuzzy quasi-proximities and fuzzy quasi-uniformities ⋮ \(L\)-fuzzy pre-proximities, \(L\)-fuzzy filters and \(L\)-fuzzy grills ⋮ Basic structures of fuzzy topology ⋮ Totally bounded fuzzy syntopogeneous structures ⋮ FUZZY PARAPROXIMITY SPACES ⋮ Fuzzy uniformities induced by fuzzy proximities ⋮ Stratified double \(L\)-topological structures ⋮ An approach to the concept of soft fuzzy proximity ⋮ FUZZY SYNTOPOGENEOUS STRUCTURES ⋮ L-approach merotopies and their categorical perspective ⋮ Construction of stratified \(L\)-fuzzy topological structures ⋮ The category of pointwise S-proximity spaces ⋮ \(L\)-fuzzifying preproximity spaces and \(L\)-fuzzifying preuniform spaces ⋮ Unnamed Item ⋮ On \(L\)-fuzzy closure operators and \(L\)-fuzzy pre-proximities ⋮ A relationship between classical and fuzzy proximities ⋮ \(L\)-fuzzy preproximities and \(L\)-fuzzy topologies ⋮ Fuzzy proximity ordered spaces ⋮ \(L\)-proximities and totally bounded pointwise \(L\)-uniformities ⋮ Regularity axioms in fuzzy topological spaces and \(FR_ i\)-proximities ⋮ Di-extremities and totally bounded di-uniformities ⋮ On fuzzy metrizability ⋮ Mathematics and fuzziness, some personal reflections ⋮ Completeness of Hutton $[0,1$-quasi-uniformities induced by a crisp uniformity]

Cites Work

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• Fuzzy topology. I: Neighborhood structure of a fuzzy point and Moore-Smith convergence
• Fuzzy topology. II: Product and quotient spaces
• Fuzzy Hausdorff spaces and fuzzy perfect mappings
• Fuzzy symmetric generalized proximity spaces
• Fuzzy Hausdorff topological spaces
• Fuzzy uniform spaces
• Normality in fuzzy topological spaces
• Uniformities on fuzzy topological spaces
• Fuzzy proximity spaces
• Fuzzy points and local properties of fuzzy topology
• Fuzzy sets
• On fuzzy proximity spaces
• On fuzzy topological spaces
• Fuzzy topological spaces

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