2004
DOI: 10.1016/s0165-0114(03)00161-1
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Characterizing completable fuzzy metric spaces

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Cited by 120 publications
(79 citation statements)
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“…If confusion is not possible we write simply B instead of B M . Definition 2 A fuzzy metric M on X is said to be stationary, [9], if M does not depend on t, i.e. if for each x, y ∈ X, the function M x,y (t) = M (x, y, t) is constant.…”
Section: Preliminariesmentioning
confidence: 99%
“…If confusion is not possible we write simply B instead of B M . Definition 2 A fuzzy metric M on X is said to be stationary, [9], if M does not depend on t, i.e. if for each x, y ∈ X, the function M x,y (t) = M (x, y, t) is constant.…”
Section: Preliminariesmentioning
confidence: 99%
“…pletion of (X, d). On the other hand, it was given in [7] an example of a GVfuzzy metric space whose completion is not a GV-fuzzy metric space, and in [8], it was obtained a characterization of those GV-fuzzy metric spaces whose completion is a GV-fuzzy metric space. (This characterization was extended to the fuzzy quasi-metric framework in [10].…”
Section: From the Above Constructions We Obtainmentioning
confidence: 99%
“…Further, imitating the Sherwod's proof [20] one can prove that fuzzy metric spaces defined by Kramosil and Michalek are completable (other different proof can be found in [1]). In this sense non-completability is a specific feature of fuzzy metric spaces, since there are fuzzy metric spaces which are not completable [9,10]. The following characterization of completable fuzzy metric spaces was given (in a slightly different way) in [10]:…”
Section: Introductionmentioning
confidence: 99%
“…In this sense non-completability is a specific feature of fuzzy metric spaces, since there are fuzzy metric spaces which are not completable [9,10]. The following characterization of completable fuzzy metric spaces was given (in a slightly different way) in [10]:…”
Section: Introductionmentioning
confidence: 99%
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