Counting fuzzy subgroups of symmetric groups S2, S3 and alternating group A4

In this article we compute the number of fuzzy subgroups of symmetric groups S2, S3 and alternating group A4. First, we define an equivalence relation on the set of all fuzzy subgroups of a group G. We represent all of the subgroups of S2, S4 and A4. We use their poset diagrams to determine the n...

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Main Authors: Raden Sulaiman, Abd Ghafur Ahmad
Format: Article
Published: Penerbit ukm 2010
Online Access:http://journalarticle.ukm.my/1962/
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author Raden Sulaiman ,
Abd Ghafur Ahmad,
author_facet Raden Sulaiman ,
Abd Ghafur Ahmad,
author_sort Raden Sulaiman ,
building UKM Institutional Repository
collection Online Access
description In this article we compute the number of fuzzy subgroups of symmetric groups S2, S3 and alternating group A4. First, we define an equivalence relation on the set of all fuzzy subgroups of a group G. We represent all of the subgroups of S2, S4 and A4. We use their poset diagrams to determine the number of their fuzzy subgroups
first_indexed 2025-11-14T23:18:57Z
format Article
id ukm-1962
institution Universiti Kebangasaan Malaysia
institution_category Local University
last_indexed 2025-11-14T23:18:57Z
publishDate 2010
publisher Penerbit ukm
recordtype eprints
repository_type Digital Repository
spelling ukm-19622011-06-21T03:01:11Z http://journalarticle.ukm.my/1962/ Counting fuzzy subgroups of symmetric groups S2, S3 and alternating group A4 Raden Sulaiman , Abd Ghafur Ahmad, In this article we compute the number of fuzzy subgroups of symmetric groups S2, S3 and alternating group A4. First, we define an equivalence relation on the set of all fuzzy subgroups of a group G. We represent all of the subgroups of S2, S4 and A4. We use their poset diagrams to determine the number of their fuzzy subgroups Penerbit ukm 2010-07 Article PeerReviewed Raden Sulaiman , and Abd Ghafur Ahmad, (2010) Counting fuzzy subgroups of symmetric groups S2, S3 and alternating group A4. Journal of Quality Measurement and Analysis, 6 (1). pp. 57-63. ISSN 1823-5670 http://www.ukm.my/~ppsmfst/jqma/index.html
spellingShingle Raden Sulaiman ,
Abd Ghafur Ahmad,
Counting fuzzy subgroups of symmetric groups S2, S3 and alternating group A4
title Counting fuzzy subgroups of symmetric groups S2, S3 and alternating group A4
title_full Counting fuzzy subgroups of symmetric groups S2, S3 and alternating group A4
title_fullStr Counting fuzzy subgroups of symmetric groups S2, S3 and alternating group A4
title_full_unstemmed Counting fuzzy subgroups of symmetric groups S2, S3 and alternating group A4
title_short Counting fuzzy subgroups of symmetric groups S2, S3 and alternating group A4
title_sort counting fuzzy subgroups of symmetric groups s2, s3 and alternating group a4
url http://journalarticle.ukm.my/1962/
http://journalarticle.ukm.my/1962/