On fuzzy uniform spaces

DOI10.1016/0022-247X(84)90060-XzbMath0598.54003OpenAlexW1988180286MaRDI QIDQ1079838

Athanasios Katsaras

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)90060-x

zbMATH Keywords

fuzzy topologyfuzzy proximityfuzzy uniformityfuzzy uniform spaceordinary uniform spaces

Mathematics Subject Classification ID

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

Related Items

Uniform environments as a general framework for metrics and uniformities ⋮ On the category of fixed basis frame valued topological groups ⋮ On \((L,M)\)-fuzzy quasi-uniform spaces ⋮ Completeness of Hutton [0,1-quasi-uniform spaces] ⋮ Relationships between L-fuzzy quasi-uniform structures and L-fuzzy topologies ⋮ Hyperspace of a fuzzy quasi-uniform space ⋮ ARE HIGHER FUZZY SEPARATION AXIOMS GOOD EXTENSIONS? ⋮ Fuzzy quasi-proximities and fuzzy quasi-uniformities ⋮ Basic structures of fuzzy topology ⋮ Totally bounded fuzzy syntopogeneous structures ⋮ Uniform spaces based on a way below relation ⋮ On fuzzy uniformities induced by a fuzzy metric space ⋮ Stratified \(L\)-ordered quasiuniform limit spaces ⋮ On L-fuzzy interior operators and L-fuzzy quasi-uniform spaces ⋮ A comparison of various uniformities in fuzzy topology. ⋮ EMBEDDINGS INTO THE CATEGORY OF SUPER UNIFORM SPACES ⋮ FUZZY SYNTOPOGENEOUS STRUCTURES ⋮ Fuzzy uniform structures and continuous t-norms ⋮ \(L\)-uniform spaces versus \(\mathbb {I}(L)\)-uniform spaces ⋮ Hutton \([0,1\)-quasi-uniformities induced by fuzzy (quasi-)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 ⋮ ON THE RELATIONSHIPS BETWEEN VARIOUS LATTICE-VALUED TOPOLOGICAL GROUPS AND THEIR UNIFORMITIES ⋮ Stratified Hutton uniform spaces ⋮ Linear fuzzy neighborhood spaces ⋮ Completeness of Hutton $[0,1$-quasi-uniformities induced by a crisp uniformity]

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