Solvable groups derived from fuzzy hypergroups

In this paper we introduce the smallest equivalence relation ξ ∗ on a finite fuzzy hypergroup S such that the quotient group S/ξ ∗ , the set of all equivalence classes, is a solvable group. The characterization of solvable groups via strongly regular relation is investigated and several results on t...

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Bibliographic Details
Published inRatio mathematica Vol. 29; no. 1; pp. 53 - 64
Main Authors Mohammadzadeh, E, Nozari, T
Format Journal Article
LanguageEnglish
Published Pescara Accademia Piceno Aprutina dei Velati in Teramo (APAV) 01.12.2015
Accademia Piceno Aprutina dei Velati
Subjects
Equivalence
Fuzzy hypergroups, strongly regular relation, solv- able groups, fundamental relation
Fuzzy sets
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Summary:In this paper we introduce the smallest equivalence relation ξ ∗ on a finite fuzzy hypergroup S such that the quotient group S/ξ ∗ , the set of all equivalence classes, is a solvable group. The characterization of solvable groups via strongly regular relation is investigated and several results on the topic are presented.
ISSN:1592-7415
2282-8214
DOI:10.23755/rm.v29i1.22