On the number of fuzzy subgroups of symmetric group $ S_5 $

Ogiugo, M.; Enioluwafe, Michael

doi:10.48550/arxiv.1706.08419

Search citation statements

Order By: Relevance

Paper Sections

Select...

Discussion1

Citation Types

Supporting

Mentioning

Contrasting

Year Published

2020

Publication Types

Select...

Article1

Relationship

Self Cite0

Independent1

Authors

Journals

Cited by 1 publication

(1 citation statement)

References 8 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…In this paper, we have determined the number of distinct fuzzy subgroups for symmetric group S5 by the new equivalence relation which generalizes the natural equivalence relation used in [2].…”

Section: Discussionmentioning

confidence: 99%

Counting Distinct Fuzzy Subgroups of Symmetric Group S5 by a New Equivalence Relation

Ogiugo¹,

EniOluwafe²,

S.A.Adebisi³

2020

IJFMA

View full text Add to dashboard Cite

One of the significant aspects of fuzzy group theory is a classification of the fuzzy subgroups of finite groups under a suitable equivalence relation. In this paper, we determine the number of distinct fuzzy subgroups of finite symmetric group S5 by the new equivalence relation introduced by Tărnăuceanu. In this case, the corresponding equivalence classes of fuzzy subgroups of a group G are closely connected to the automorphism group and the chains of subgroups of G.

show abstract

Section: Discussionmentioning

confidence: 99%