Completion of \(L\)-topological groups
type: Item
instance of: scholarly article
title: Completion of \(L\)-topological groups
zbMATH Open document ID: 1181.22003
author: Fatma Bayoumi
author: Ismail Ibedou
published in: Fuzzy Sets and Systems
publication date: 2009-08-28T00:00:00Z
review text: The authors present a completion of \(L\)-topological groups via the completion of \(L\)-uniform spaces in the sense of \textit{W. Gähler, F. Bayoumi, A. Kandil} and \textit{A. Nouh} [Fuzzy Sets Syst. 98, No.~2, 175--199 (1998; Zbl 0934.54006)].
reviewed by: Dexue Zhang
Mathematics Subject Classification ID: 22A05
Mathematics Subject Classification ID: 54A40
zbMATH DE Number: 5599475
zbMATH Keywords: \(L\)-topological groups
zbMATH Keywords: complete \(L\)-topological groups
zbMATH Keywords: \(L\)-uniform spaces
zbMATH Keywords: complete \(L\)-uniform spaces
zbMATH Keywords: \(L\)-filters
zbMATH Keywords: Cauchy filters
zbMATH Keywords: \(L\)-topological spaces
MaRDI profile type: Publication
full work available at URL: j.fss.2007.12.017
OpenAlex ID: W2079337108
cites work: On fuzzy neighborhood groups
cites work: On initial and final fuzzy uniform structures
cites work: On initial and final \(L\)-topological groups
cites work: \(T_i\)-spaces. I
cites work: \(T_i\)-spaces. II
cites work: The relation between \(GT_{i}\)-spaces and fuzzy proximity spaces, \(G\)-compact spaces, fuzzy uniform spaces
cites work: \(GT_{3\frac12}\)-spaces, I.
cites work: Q3635773
cites work: The metrizability of \(L\)-topological groups
cites work: Fuzzy topological spaces
cites work: Q4010276
cites work: Fuzzy real numbers
cites work: The general fuzzy filter approach to fuzzy topology. I
cites work: The general fuzzy filter approach to fuzzy topology. II
cites work: The theory of global fuzzy neighborhood structures. III: Fuzzy uniform structures
cites work: L-fuzzy sets
cites work: Convergence in fuzzy topological spaces
DOI: 10.1016/J.FSS.2007.12.017
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description: scientific article; zbMATH DE number 5599475