A note on the lattice of weak L-valued congruences on the group of prime order
type: Item
instance of: scholarly article
title: A note on the lattice of weak L-valued congruences on the group of prime order
zbMATH Open document ID: 0623.08002
DOI: 10.1016/0165-0114(87)90075-3
published in: Fuzzy Sets and Systems
publication date: 1987-01-01T00:00:00Z
review text: Weak fuzzy congruences were examined by the authors in a previous paper [Zb. Rad., Prir.-Mat. Fak., Univ. Novom Sadu, Ser. Mat. 15, No.1, 199-207 (1985; Zbl 0599.08005)]. Now they prove that any weak fuzzy congruence on a finite group of prime order admits at most three different membership values: \(R(e,e)=1\), \(R(x,x)=p\geq R(x,y)=q\) for \(x\neq e\), \(y\neq x\).
Mathematics Subject Classification ID: 08A30
Mathematics Subject Classification ID: 20D60
Mathematics Subject Classification ID: 03E20
zbMATH DE Number: 4010581
zbMATH Keywords: Weak fuzzy congruences
zbMATH Keywords: finite group of prime order
zbMATH Keywords: membership values
author: Branimir Šešelja
author: Gradimir Vojvodić
reviewed by: Józef Drewniak
MaRDI profile type: Publication
full work available at URL: 0165-0114(87)90075-3
OpenAlex ID: W2006538091
cites work: A characterization of fuzzy subgroups
cites work: Q5331549
cites work: Q3734473
cites work: Q3682539
description: scientific article; zbMATH DE number 4010581