Probabilistic metrization of fuzzy uniformities
From MaRDI portal
Publication:1169179
DOI10.1016/0165-0114(82)90030-6zbMath0494.54006OpenAlexW2059245341MaRDI QIDQ1169179
Publication date: 1982
Published in: Fuzzy Sets and Systems (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0165-0114(82)90030-6
probabilistic metric spacescountable basisfuzzy uniformities1-Hausdorff separatedfuzzy T-uniformities
Metric spaces, metrizability (54E35) Fuzzy topology (54A40) Uniform structures and generalizations (54E15) Probability theory on algebraic and topological structures (60B99)
Related Items (62)
Fuzzy preuniform structures and the structures they induce. I: Main results. II: Applications ⋮ CHARACTERIZATIONS OF (L;M)-FUZZY TOPOLOGY DEGREES ⋮ \(T\)-syntopogenous structures compatible with fuzzy \(T\)-uniformities and fuzzy \(T\)-neighbourhoods structures ⋮ Uniform environments as a general framework for metrics and uniformities ⋮ On the category of fixed basis frame valued topological groups ⋮ Completeness of Hutton [0,1-quasi-uniform spaces] ⋮ Relationships between L-fuzzy quasi-uniform structures and L-fuzzy topologies ⋮ A theory of fuzzy uniformities with applications to the fuzzy real lines ⋮ A level-topologies criterion for Lowen fuzzy uniformizability ⋮ The Urysohn lemma for fuzzy neighbourhood spaces ⋮ Extension of Shi's quasi-uniformities in a Kubiak-Šostak sense ⋮ Hyperspace of a fuzzy quasi-uniform space ⋮ Fuzzy neighborhood structures and fuzzy quasi-uniformities ⋮ Generalized quasi-proximities ⋮ Hyperspace fuzzy binary relations ⋮ Fuzzy \(T\)-locality spaces ⋮ Fuzzy syntopogeneous structures and order ⋮ Fuzzy proximities induced by functional fuzzy separation ⋮ Fuzzy quasi-proximities and fuzzy quasi-uniformities ⋮ Basic structures of fuzzy topology ⋮ On internal characterizations of completely \(L\)-regular spaces ⋮ Editorial to the ``Special issue on fuzzy topology ⋮ Bounded linear transformations between probabilistic normed vector spaces ⋮ Totally bounded fuzzy syntopogeneous structures ⋮ Net-convergence and weak separation axioms in \((L,M)\)-fuzzy topological molecular lattices ⋮ Uniform spaces based on a way below relation ⋮ Characterization of \(TL\)-uniform spaces by coverings ⋮ \(T\)-proximity compatible with \(T\)-neighbourhood structure ⋮ On fuzzy uniformities induced by a fuzzy metric space ⋮ Regularity and normality of \((L,M)\)-fuzzy topological spaces ⋮ Algebraic structures of fuzzy T-Locality spaces: Part 1 ⋮ 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. ⋮ Continuity of fuzzy multiplication in the \(N\)-Euclidean space ⋮ Sequential convergence in fuzzy neighborhood spaces ⋮ Fuzzy metric neighbourhood spaces ⋮ Fuzzy TL-uniform spaces ⋮ Invariant probabilistic metrizability of fuzzy neighbourhood groups ⋮ SUPER UNIFORM SPACES ⋮ EMBEDDINGS INTO THE CATEGORY OF SUPER UNIFORM SPACES ⋮ Further results on \(L\)-valued filters ⋮ On fuzzy pseudo-metric spaces ⋮ Compact probabilistic metrics on bounded closed intervals of distribution functions ⋮ Metrization theorems in \(L\)-topological spaces ⋮ Hutton \([0,1\)-quasi-uniformities induced by fuzzy (quasi-)metric spaces] ⋮ Degree of \((L, M)\)-fuzzy semi-precontinuous and \((L, M)\)-fuzzy semi-preirresolute functions ⋮ Linear fuzzy neighborhood spaces. II ⋮ Stratified L-ordered filter spaces ⋮ Completeness in probabilistic quasi-uniform spaces ⋮ Hyperspaces of fuzzy sets ⋮ Complete fuzzy topological hyperfields and fuzzy multiplication in the fuzzy real lines ⋮ Characterizations of some fuzzy topological notions in probabilistic metric spaces ⋮ Fuzzy \(T\)-neighbourhood spaces. III: \(T\)-separation axioms ⋮ Fuzzy uniform structures ⋮ Point-set lattice-theoretic topology ⋮ Fuzzy \(T\)-neighbourhood spaces. I: \(T\)-proximities ⋮ On \((L; M)\)-fuzzy convergence spaces ⋮ ON THE RELATIONSHIPS BETWEEN VARIOUS LATTICE-VALUED TOPOLOGICAL GROUPS AND THEIR UNIFORMITIES ⋮ Reducing t-norms and augmenting t-conorms ⋮ Completeness of Hutton $[0,1$-quasi-uniformities induced by a crisp uniformity]
Cites Work
- Unnamed Item
- Probabilistic uniformization of fuzzy topologies
- Statistical metric spaces
- Multiplications on the space of probability distribution functions
- Fuzzy topological spaces and fuzzy compactness
- Uniformities on fuzzy topological spaces
- Probabilistische Metriken auf der Menge der nicht negativen Verteilungsfunktionen
- On E -Spaces and their Relation to Other Classes of Probabilistic Metric Spaces
- Statistical Metrics
This page was built for publication: Probabilistic metrization of fuzzy uniformities