Linear fuzzy neighborhood spaces. II

DOI10.1016/0022-247X(86)90015-6zbMath0615.54007MaRDI QIDQ1820459

Athanasios Katsaras

Publication date: 1986

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

zbMATH Keywords

metrization theoremsfuzzy topological vector spaceconcave fuzzy setmodulus of concavity

Mathematics Subject Classification ID

Metric spaces, metrizability (54E35) Fuzzy topology (54A40) Uniform structures and generalizations (54E15) Locally convex Fréchet spaces and (DF)-spaces (46A04) Other ``topological linear spaces (convergence spaces, ranked spaces, spaces with a metric taking values in an ordered structure more general than (mathbb{R}), etc.) (46A19)

Related Items (19)

Uniform environments as a general framework for metrics and uniformities ⋮ COMPLETENESS IN LINEAR FUZZY NEIGHBORHOOD SPACES ⋮ The Urysohn lemma for fuzzy neighbourhood spaces ⋮ Fuzzy neighborhood structures and fuzzy quasi-uniformities ⋮ Fuzzy \(T\)-locality spaces ⋮ Bounded linear transformations between probabilistic normed vector spaces ⋮ Fuzzy neighborhood convergence spaces ⋮ On fuzzy uniformities induced by a fuzzy metric space ⋮ On fuzzy neighborhood rings ⋮ A comparison of various uniformities in fuzzy topology. ⋮ Continuity of fuzzy multiplication in the \(N\)-Euclidean space ⋮ Fuzzy metric neighbourhood spaces ⋮ Invariant probabilistic metrizability of fuzzy neighbourhood groups ⋮ Nearness concepts in fuzzy neighbourhood spaces and in their fuzzy proximity spaces ⋮ A short note on fuzzy neighbourhood convergence spaces ⋮ Characterizations of some fuzzy topological notions in probabilistic metric spaces ⋮ The categorical topology approach to fuzzy topology and fuzzy convergence ⋮ Fuzzy uniform structures ⋮ ON THE RELATIONSHIPS BETWEEN VARIOUS LATTICE-VALUED TOPOLOGICAL GROUPS AND THEIR UNIFORMITIES

Cites Work

• Probabilistic uniformization of fuzzy topologies
• Probabilistische Topologien
• Fuzzy topological vector spaces. II
• On separation axioms in fuzzy topological spaces, fuzzy neighborhood spaces, and fuzzy uniform spaces
• Linear fuzzy neighborhood spaces
• Compact Hausdorff fuzzy topological spaces are topological
• Fuzzy topological vector spaces. I
• Fuzzy neighborhood spaces
• Fuzzy uniform spaces
• Probabilistic metrization of fuzzy uniformities
• Compactness notions in fuzzy neighborhood spaces
• Fuzzy vector spaces and fuzzy topological vector spaces
• Probabilistic topologies induced by \(L\)-fuzzy uniformities
• Unnamed Item

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