m-uniformization and metrization of fuzzy topological spaces
type: Item
instance of: scholarly article
title: m-uniformization and metrization of fuzzy topological spaces
zbMATH Open document ID: 0589.54007
DOI: 10.1016/0022-247X(85)90256-2
author: Zi Ke Deng
published in: Journal of Mathematical Analysis and Applications
publication date: 1985-01-01T00:00:00Z
review text: The author applies his previous results [see ibid. 86, 74-95 (1982; Zbl 0501.54003); see also the preceding review] on the special case of the fuzzy unit interval as introduced by \textit{B. Hutton} [ibid. 58, 559-571 (1977; Zbl 0358.54008)]. He gives a fuzzy pseudometric on the fuzzy unit interval, which generates the Hutton fuzzy topology. Further, he also proves an Urysohn-type metrization theorem.
Mathematics Subject Classification ID: 54A40
Mathematics Subject Classification ID: 54E15
Mathematics Subject Classification ID: 54E35
zbMATH DE Number: 3947150
zbMATH Keywords: m-uniformization
zbMATH Keywords: fuzzy pseudometric
zbMATH Keywords: fuzzy unit interval
zbMATH Keywords: Urysohn-type metrization theorem
MaRDI profile type: Publication
cites work: Fuzzy topological spaces
cites work: Separation axioms for completeness and total boundedness in fuzzy pseudo metric spaces
cites work: Uniformities on fuzzy topological spaces
cites work: Fuzzy pseudo-metric spaces
cites work: Q5728102
full work available at URL: 0022-247x(85)90256-2
OpenAlex ID: W1989713897
description: scientific article; zbMATH DE number 3947150