One-point quasi-compactifications for fuzzy neighborhood spaces
type: Item
instance of: scholarly article
title: One-point quasi-compactifications for fuzzy neighborhood spaces
zbMATH Open document ID: 0814.54007
DOI: 10.1016/0165-0114(93)90231-6
author: Wolfgang Flüshöh
published in: Fuzzy Sets and Systems
publication date: 1995-06-20T00:00:00Z
review text: For a fuzzy neighbourhood space \((S, \Delta)\) a one-point ultra-quasi- compactification (ultra-compactification, quasi-compactification, compactification) \((\widehat S, \widehat \Delta)\) is defined. If a fuzzy neighbourhood space possesses a one-point compactification then it has infinitely many one-point compactifications. A general procedure for the construction of one-point quasi-compactifications of fuzzy neighbourhood spaces is described. A general one-point ultra-quasi-compactification is created. The Alexandroff theorem on quasi-compactifications is extended to fuzzy neighbourhood spaces.
Mathematics Subject Classification ID: 54A40
zbMATH DE Number: 516651
zbMATH Keywords: fuzzy neighbourhood space
zbMATH Keywords: one-point ultra-quasi-compactification
reviewed by: Dušan Adnadjević
MaRDI profile type: Publication
full work available at URL: 0165-0114(93)90231-6
OpenAlex ID: W2003548089
cites work: Q5522002
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cites work: Fuzzy neighborhood spaces
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description: scientific article; zbMATH DE number 516651