A theory of fuzzy uniformities with applications to the fuzzy real lines
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Publication:1098451
DOI10.1016/0022-247X(88)90232-6zbMath0637.54007MaRDI QIDQ1098451
Publication date: 1988
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Fuzzy topology (54A40) Categorical methods in general topology (54B30) Uniform structures and generalizations (54E15)
Related Items (38)
Generalized possibility measures ⋮ Uniform environments as a general framework for metrics and uniformities ⋮ Uniform-type structures on lattice-valued spaces and frames ⋮ 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 ⋮ Extension of Shi's quasi-uniformities in a Kubiak-Šostak sense ⋮ Dynamic topologies and their applications to crisp topologies, fuzzifications of crisp topologies, and fuzzy topologies on the crisp real line ⋮ Lowen, para-Lowen, and \(\alpha\)-level functors and fuzzy topologies on the crisp real line ⋮ Some results on \(\widetilde I(L)\) and \(\widetilde R(L)\) ⋮ Generalized quasi-proximities ⋮ Basic structures of fuzzy topology ⋮ On internal characterizations of completely \(L\)-regular spaces ⋮ Editorial to the ``Special issue on fuzzy topology ⋮ Applications of localic separation axioms, compactness axioms, representations, and compactifications to poslat topological spaces ⋮ On fuzzy uniformities induced by a fuzzy metric space ⋮ On L-fuzzy interior operators and L-fuzzy quasi-uniform spaces ⋮ Topologies induced by pointwise L-fuzzifying quasi-uniformities ⋮ Upper M-approximate operators and M-closed sets1 ⋮ A comparison of various uniformities in fuzzy topology. ⋮ \(H(\lambda)\)-completely Hausdorff axiom on \(L\)-topological spaces. ⋮ A short note on canonical topologies on the real line. ⋮ FUZZY SYNTOPOGENEOUS STRUCTURES ⋮ The stratified canonical fuzzy topology on \(I(I)\) is uniformizable ⋮ Metrization theorems in \(L\)-topological spaces ⋮ \(L\)-uniform spaces versus \(\mathbb {I}(L)\)-uniform spaces ⋮ Stratified \((L,M)\)-fuzzy quasi-uniform spaces ⋮ On compactness of induced \(I(L)\)-fuzzy topological spaces ⋮ Analogizing Hutton's quasi-uniformities for complete lattices and extending Shi's quasi-uniformities to closed set lattices ⋮ Metric topology on the \(L\)-fuzzy real line ⋮ Extremal problems of approximation theory in fuzzy contact ⋮ The stratified canonical fuzzy topology on \(I(L)\) is uniformizable ⋮ \(L\)-proximities and totally bounded pointwise \(L\)-uniformities ⋮ Point-set lattice-theoretic topology ⋮ ON THE RELATIONSHIPS BETWEEN VARIOUS LATTICE-VALUED TOPOLOGICAL GROUPS AND THEIR UNIFORMITIES ⋮ Stratified Hutton uniform spaces ⋮ Completeness of Hutton $[0,1$-quasi-uniformities induced by a crisp uniformity]
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