Fuzzy subgroups of \(n\)-ary subgroups.
type: Item
instance of: scholarly article
title: Fuzzy subgroups of \(n\)-ary subgroups.
zbMATH Open document ID: 1271.20076
author: D. R. Prince Williams
published in: Journal of Mathematical Sciences (New York)
publication date: 2012-11-29T00:00:00Z
review text: The first fuzzification of an \(n\)-ary algebraic structure was introduced in 2000 by \textit{W. A. Dudek} [Quasigroups Relat. Syst. 7, 45-66 (2000; Zbl 0986.20069)]. The notion of intuitionistic fuzzy set in \(n\)-ary systems was defined and studied also by \textit{W. A. Dudek} [ibid. 13, No. 2, 213-228 (2005; Zbl 1109.20059)]. In this paper, the author introduces and studies the concept of \(t\)-fuzzy \(n\)-ary subgroup in an \(n\)-ary group. Several helpful examples are presented and some properties related to \(t\)-fuzzy \(n\)-ary subgroups are investigated.
Mathematics Subject Classification ID: 20N25
Mathematics Subject Classification ID: 20N15
Mathematics Subject Classification ID: 08A72
zbMATH DE Number: 6110991
zbMATH Keywords: \(n\)-ary groups
zbMATH Keywords: fuzzy sets
zbMATH Keywords: \(t\)-norms
zbMATH Keywords: fuzzy \(n\)-ary subgroups
zbMATH Keywords: fuzzy \(n\)-ary relations
MaRDI profile type: Publication
full work available at URL: s10958-012-0845-9
OpenAlex ID: W1992782606
cites work: On some product of fuzzy subgroups
cites work: Fuzzy n-ary groups as a generalization of Rosenfeld's fuzzy groups
cites work: Q3892446
cites work: Q3729193
cites work: On (i,j)-associative n-groupoids with non-empty center
cites work: Q3979183
cites work: Q3497281
cites work: Q4874798
cites work: Fuzzification of \(n\)-ary groupoids
cites work: Idempotents in \(n\)-ary semigroups
cites work: Q4529535
cites work: Q5476414
cites work: Remarks to Głazek's results on n-ary groups
cites work: Around the Hosszú-Gluskin theorem for \(n\)-ary groups.
cites work: Q3035699
cites work: Q3039587
cites work: ON RETRACTS OF POLYADIC GROUPS
cites work: ON A GENERALIZATION OF A THEOREM OF TIMM
cites work: On Rusakov's n-ary rs-Groups
cites work: Automorphisms of Polyadic Automata
cites work: Twist maps, kicked rotors, and quantum chaos
cites work: Q5696566
cites work: A Galois correspondence for \(II_1\) factors and quantum groupoids
cites work: Fuzzy sets
DOI: 10.1007/S10958-012-0845-9
description: scientific article; zbMATH DE number 6110991