On a class of completable fuzzy metric spaces
Copyright policy )On a class of completable fuzzy metric spaces
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.
Fuzzy topology, fuzzy ultrametric, fuzzy metric completion, stationary fuzzy metric, principal fuzzy metric, integral \(t\)-norm, Extensions of spaces (compactifications, supercompactifications, completions, etc.), strong fuzzy metric, fuzzy metric space, Menger space, Complete metric spaces
Fuzzy topology, fuzzy ultrametric, fuzzy metric completion, stationary fuzzy metric, principal fuzzy metric, integral \(t\)-norm, Extensions of spaces (compactifications, supercompactifications, completions, etc.), strong fuzzy metric, fuzzy metric space, Menger space, Complete metric spaces
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