Homomorphism of fuzzy groups, correspondence theorem and fuzzy quotient groups
type: Item
instance of: scholarly article
title: Homomorphism of fuzzy groups, correspondence theorem and fuzzy quotient groups
zbMATH Open document ID: 0832.20086
DOI: 10.1016/0165-0114(94)90175-9
author: N. Ajmal
published in: Fuzzy Sets and Systems
publication date: 1996-02-26T00:00:00Z
review text: Recently many papers deal with fuzzy groups [cf. e.g. \textit{M. Asaad}, Fuzzy Sets Syst. 39, 323-328 (1991; Zbl 0718.20036); \textit{N. Kuroki}, Inf. Sci. 60, 247-259 (1992; Zbl 0747.20038); \textit{J.-G. Kim}, J. Fuzzy Math. 2, 913-921 (1994; Zbl 0822.20067)]. The author introduces a new notion of level subgroup and reproves diverse properties of fuzzy groups. The main result concerns the kernel and fuzzy kernel of a group homomorphism.
Mathematics Subject Classification ID: 20N25
Mathematics Subject Classification ID: 20E07
Mathematics Subject Classification ID: 20E36
zbMATH DE Number: 788353
zbMATH Keywords: fuzzy groups
zbMATH Keywords: level subgroups
zbMATH Keywords: fuzzy kernels
zbMATH Keywords: group homomorphisms
reviewed by: Józef Drewniak
MaRDI profile type: Publication
full work available at URL: 0165-0114(94)90175-9
OpenAlex ID: W2035425998
cites work: Fuzzy cosets and fuzzy normal subgroups
cites work: The lattices of fuzzy subgroups and fuzzy normal subgroups
cites work: Fuzzy groups and level subgroups
cites work: Level subgroups and union of fuzzy subgroups
cites work: Fuzzy invariant subgroups and fuzzy ideals
cites work: Fuzzy normal subgroups and fuzzy cosets
cites work: Fuzzy groups
description: scientific article; zbMATH DE number 788353