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This paper proposes a definition of a fuzzy metric space in which the distance between two points is a non-negative, upper semicontinuous, normal, convex fuzzy number. Here fuzzy numbers are as defined by \textit{D. Dubois} and \textit{H. Prade} [ibid. 2, 327-348 (1979; Zbl 0412.03035)].
Kaleva, Osmo, Seikkala, Seppo
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A note on the completions of fuzzy metric spaces and fuzzy normed spaces
Fuzzy Sets and Systems, 2002zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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The completions of fuzzy metric spaces and fuzzy normed linear spaces
Fuzzy Sets and Systems, 1999In this paper, we consider the completions of fuzzy metric spaces and fuzzy normed linear spaces.
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On the triangle inequalities in fuzzy metric spaces
Information Sciences, 2007This paper presents level forms of the triangle inequalities in fuzzy metric spaces. Validity, equivalence and other properties of the level forms of the triangle inequalities are explored. This offers a new tool for the description and analysis of fuzzy metric spaces.
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