On measures of compactness in fuzzy topological spaces
type: Item
instance of: scholarly article
title: On measures of compactness in fuzzy topological spaces
zbMATH Open document ID: 0648.54007
DOI: 10.1016/0022-247X(88)90209-0
published in: Journal of Mathematical Analysis and Applications
publication date: 1988-01-01T00:00:00Z
review text: In the same philosophy as in earlier papers [see \textit{P. Wuyts} and the second author, Fuzzy sets systems 19, 51-80 (1986; Zbl 0606.54004) and the second author (1985; Zbl 0568.54007)], we presents measures in fuzzy topological spaces by which one can determine to which extent a topological property, in this case compactness, is fulfilled. Consistency results and applications of these measures are given. Thus e.g. the most illuminating result concerning one of these measures is a Tikhonov type result. If c denotes the compactness measure then it says that c(\(\prod_{j\in J}X_ j)=\inf_{j\in J}c(X_ j)\).
Mathematics Subject Classification ID: 54A40
Mathematics Subject Classification ID: 54D30
zbMATH DE Number: 4058390
zbMATH Keywords: measure of compactness
author: Eva Colebunders
author: Robert Lowen
MaRDI profile type: Publication
cites work: Compactness in fuzzy topological spaces
cites work: The fuzzy Tychonoff theorem
cites work: Q3226265
cites work: Characterization of convergence in fuzzy topological spaces
cites work: Fuzzy topological spaces and fuzzy compactness
cites work: A comparison of different compactness notions in fuzzy topological spaces
cites work: Convergence in fuzzy topological spaces
cites work: Metric Spaces Viewed as Fuzzy Topological Spaces Induced by Lipschitz Functions
cites work: Mathematics and fuzziness, some personal reflections
cites work: Q3684801
cites work: A Stone-Cech ultrafuzzy compactification
cites work: A new fuzzy compactness defined by fuzzy nets
cites work: On local and global measures of separation in fuzzy topological spaces
cites work: Fuzzy sets
full work available at URL: 0022-247x(88)90209-0
OpenAlex ID: W2083419238
description: scientific article; zbMATH DE number 4058390