Fuzzy \(T\)-neighbourhood spaces. I: \(T\)-proximities

DOI10.1016/S0165-0114(01)00155-5zbMath1005.54011OpenAlexW1580502733MaRDI QIDQ1605078

Khaled A. Hashem, Nehad N. Morsi

Publication date: 11 July 2002

Published in: Fuzzy Sets and Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0165-0114(01)00155-5

zbMATH Keywords

fuzzy proximity

Mathematics Subject Classification ID

Theory of fuzzy sets, etc. (03E72) Fuzzy topology (54A40) Proximity structures and generalizations (54E05)

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\(T\)-syntopogenous structures compatible with fuzzy \(T\)-uniformities and fuzzy \(T\)-neighbourhoods structures ⋮ Uniform environments as a general framework for metrics and uniformities ⋮ Fuzzy \(T\)-locality spaces ⋮ Bounded linear transformations between probabilistic normed vector spaces ⋮ \(T\)-proximity compatible with \(T\)-neighbourhood structure ⋮ Initial and the final T-topogenous structures ⋮ A comparison of various uniformities in fuzzy topology. ⋮ Constructions in the category of fuzzy \(T\)-proximity spaces ⋮ On two types of stable subconstructs of FTS ⋮ On two types of stable subconstructs of FTS ⋮ Fuzzy \(T\)-neighbourhood spaces. III: \(T\)-separation axioms

Cites Work

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• Probabilistic metrization of fuzzy uniformities
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• Fuzzy sets as a basis for a theory of possibility
• Generalized possibility measures
• Probabilistic topologies induced by \(L\)-fuzzy uniformities
• Fuzzy proximities induced by functional fuzzy separation
• Fuzzy topological spaces

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