Paper Info
Title
Classifying and counting fuzzy normal subgroups by a new equivalence relation
Abstract
The main goal of this paper is to give an explicit formula for the number of fuzzy normal subgroups of some finite non-abelian groups by using the new equivalence relation presented in [Fuzzy Sets and Systems, 289 (2016) 113-121]. Precisely, for a group G this new equivalence is induced by an action of the automorphism group Aut(G) associated with G on the lattice of fuzzy normal subgroups of G. In fact, this new equivalence relation generalizes the natural equivalence relation defined on the lattice of fuzzy normal subgroups.
Year
DOI
Venue
2020
10.1016/j.fss.2019.05.002
Fuzzy Sets and Systems
Keywords
Field
DocType
Equivalence relation,Fuzzy normal subgroup,Chain of subgroups,Group of automorphisms
Automorphism group,Discrete mathematics,Equivalence relation,Lattice (order),Fuzzy logic,Fuzzy set,Equivalence (measure theory),Mathematics,Normal subgroup
Journal
Volume
ISSN
Citations 
382
0165-0114
0
PageRank 
References 
Authors
0.34
0
2
Name
Order
Citations
PageRank
L. Kamali Ardekani102.37
Bijan Davvaz211.71