The completion of fuzzy metric spaces
type: Item
instance of: scholarly article
title: The completion of fuzzy metric spaces
zbMATH Open document ID: 0582.54006
DOI: 10.1016/0022-247X(85)90186-6
author: Osmo Kaleva
published in: Journal of Mathematical Analysis and Applications
publication date: 1985-01-01T00:00:00Z
review text: In a previous paper [Fuzzy Sets Syst. 12, 215-229 (1984; Zbl 0558.54003)], the author jointly with \textit{S. Seikkala} introduced the notion of a fuzzy metric spaces. Now he discusses the completion of such space. For some type of fuzzy metric spaces, the author proves that there is a completion which is unique up to isometry. The steps of argument are precisely those used in the proof of the corresponding theorem for metric and probabilistic metric spaces.
Mathematics Subject Classification ID: 54A40
Mathematics Subject Classification ID: 54E52
zbMATH DE Number: 3931972
reviewed by: Yingming Liu
MaRDI profile type: Publication
cites work: On fuzzy metric spaces
cites work: On the completion of probabilistic metric spaces
description: scientific article; zbMATH DE number 3931972