Fuzzy normal subgroups and fuzzy cosets
type: Item
instance of: scholarly article
title: Fuzzy normal subgroups and fuzzy cosets
zbMATH Open document ID: 0568.20002
DOI: 10.1016/0020-0255(84)90050-1
author: N. P. Mukherjee
author: Prabir Bhattacharya
published in: Information Sciences
publication date: 1984-01-01T00:00:00Z
review text: The concept of fuzzy subgroup [cf. \textit{A. Rosenfeld}, J. Math. Anal. Appl. 35, 512-517 (1971; Zbl 0194.055); \textit{P. S. Das}, J. Math. Anal. Appl. 84, 264-269 (1981; Zbl 0476.20002)] is investigated. Several (fuzzy type) extensions of known results for normal subgroups, quotient groups and finite groups are obtained.
Mathematics Subject Classification ID: 20A05
Mathematics Subject Classification ID: 20E07
zbMATH DE Number: 3906700
zbMATH Keywords: fuzzy quotient group
zbMATH Keywords: coset
zbMATH Keywords: level subgroup
zbMATH Keywords: fuzzy subgroup
reviewed by: Józef Drewniak
MaRDI profile type: Publication
full work available at URL: 0020-0255(84)90050-1
OpenAlex ID: W2090795068
cites work: Fuzzy subgroups: some characterizations
cites work: Fuzzy groups and level subgroups
cites work: Fuzzy groups
cites work: Fuzzy sets
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description: scientific article; zbMATH DE number 3906700