An improved completion theorem of fuzzy metric spaces

descriptionPublicationkeyboard_double_arrow_right Article 01 Mar 2011 English Publisher:Elsevier BVJournal:Fuzzy Sets and Systems, volume 166, pages 65-74 (issn: 0165-0114,

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Authors: Jin-Xuan Fang;

doi: 10.1016/j.fss.2010.12.002

An improved completion theorem of fuzzy metric spaces

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Abstract

The author considers a type of fuzzy metric space introduced by \textit{O. Kaleva} and \textit{S. Seikkala} [Fuzzy Sets Syst. 12, 215--229 (1984; Zbl 0558.54003)] and proves an improved completion theorem of fuzzy metric spaces, which is a generalization of the completion theorem of \textit{O. Kaleva} [J. Math. Anal. Appl. 109, 194--198 (1985; Zbl 0582.54006)] and is also an improvement of the recent results given by \textit{H. Huang} and \textit{C. Wu} [Fuzzy Sets Syst. 159, No. 19, 2596--2605 (2008; Zbl 1177.54002)].

Related Organizations

Nanjing Normal University
China (People's Republic of)
Nanjing Normal University
China (People's Republic of)

Keywords

fuzzy metric spaces, Fuzzy topology, Cauchy sequence, isometry, fuzzy numbers, completion

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