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On a class of completable fuzzy metric spaces - MaRDI portal

On a class of completable fuzzy metric spaces (Q983090)

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scientific article; zbMATH DE number 5762275
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On a class of completable fuzzy metric spaces
scientific article; zbMATH DE number 5762275

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    On a class of completable fuzzy metric spaces (English)
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    28 July 2010
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    The authors investigate fuzzy metric spaces [\textit{A. George} and \textit{P. Veeramani}, ibid. 64, No.~3, 395--399 (1994; Zbl 0843.54014)]. Inter alia they characterize a strong fuzzy metric by a family of stationary fuzzy metrics and show that stationary fuzzy metrics with integral \(t\)-norm and stationary fuzzy ultrametrics (but not fuzzy ultrametrics) are completable.
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    Menger space
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    integral \(t\)-norm
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    fuzzy metric space
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    principal fuzzy metric
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    stationary fuzzy metric
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    strong fuzzy metric
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    fuzzy ultrametric
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    fuzzy metric completion
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