Fuzzy-quotient groups
type: Item
instance of: scholarly article
title: Fuzzy-quotient groups
zbMATH Open document ID: 0832.20089
DOI: 10.1016/0020-0255(94)90096-5
author: Nehad N. Morsi
author: Samy El-Badawy Yehia
published in: Information Sciences
publication date: 1995-08-10T00:00:00Z
review text: Quotients of fuzzy groups are examined by many authors [cf. e.g. \textit{N. P. Mukherjee, P. Bhattacharya}, Inf. Sci. 34, 225-239 (1984; Zbl 0568.20002), \textit{B. B. Makamba, V. Murali}, ibid. 59, 121-129 (1992; Zbl 0737.20041); \textit{N. Kuroki}, ibid. 60, 247-259 (1992; Zbl 0747.20038); \textit{N. Ajmal, A. S. Prajapati}, ibid. 64, 17-25 (1992; Zbl 0779.20041)]. The paper redefines some notions and reproves some results on fuzzy groups and fuzzy congruence relations. In particular, one-to-one correspondences between normal fuzzy groups, fuzzy congruence relations and fuzzy partitions on a given group are examined.
Mathematics Subject Classification ID: 20N25
Mathematics Subject Classification ID: 08A30
Mathematics Subject Classification ID: 20E07
Mathematics Subject Classification ID: 03E72
zbMATH DE Number: 777631
zbMATH Keywords: fuzzy cosets
zbMATH Keywords: quotients of fuzzy groups
zbMATH Keywords: normal fuzzy groups
zbMATH Keywords: fuzzy congruence relations
zbMATH Keywords: fuzzy partitions
reviewed by: Józef Drewniak
MaRDI profile type: Publication
full work available at URL: 0020-0255(94)90096-5
OpenAlex ID: W2085470897
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description: scientific article; zbMATH DE number 777631