Combinatorics of counting distinct fuzzy subgroups of certain dihedral group
This paper is devoted to counting distinct fuzzy subgroups (DFS) of finite dihedral group D2n, where n is a product of finite number of distinct primes, with respect to the equivalence relation ≈ . This counting has connections with familiar integer sequence called ordered Bell numbers. Furthermore,...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Penerbit Universiti Kebangsaan Malaysia
2019
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| Online Access: | http://journalarticle.ukm.my/13864/ http://journalarticle.ukm.my/13864/1/jqma-15-1-paper5.pdf |
| _version_ | 1848813396571455488 |
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| author | Olayiwola, Abdulhakeem Enioluwafe, Michael |
| author_facet | Olayiwola, Abdulhakeem Enioluwafe, Michael |
| author_sort | Olayiwola, Abdulhakeem |
| building | UKM Institutional Repository |
| collection | Online Access |
| description | This paper is devoted to counting distinct fuzzy subgroups (DFS) of finite dihedral group D2n, where n is a product of finite number of distinct primes, with respect to the equivalence relation ≈ . This counting has connections with familiar integer sequence called ordered Bell numbers. Furthermore, a recurrence relation and generating function was derived for counting DFS of D2n. |
| first_indexed | 2025-11-15T00:17:32Z |
| format | Article |
| id | oai:generic.eprints.org:13864 |
| institution | Universiti Kebangasaan Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T00:17:32Z |
| publishDate | 2019 |
| publisher | Penerbit Universiti Kebangsaan Malaysia |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | oai:generic.eprints.org:138642020-01-06T08:55:14Z http://journalarticle.ukm.my/13864/ Combinatorics of counting distinct fuzzy subgroups of certain dihedral group Olayiwola, Abdulhakeem Enioluwafe, Michael This paper is devoted to counting distinct fuzzy subgroups (DFS) of finite dihedral group D2n, where n is a product of finite number of distinct primes, with respect to the equivalence relation ≈ . This counting has connections with familiar integer sequence called ordered Bell numbers. Furthermore, a recurrence relation and generating function was derived for counting DFS of D2n. Penerbit Universiti Kebangsaan Malaysia 2019-07 Article PeerReviewed application/pdf en http://journalarticle.ukm.my/13864/1/jqma-15-1-paper5.pdf Olayiwola, Abdulhakeem and Enioluwafe, Michael (2019) Combinatorics of counting distinct fuzzy subgroups of certain dihedral group. Journal of Quality Measurement and Analysis, 15 (1). pp. 53-64. ISSN 1823-5670 http://www.ukm.my/jqma/jqma15_1a.html |
| spellingShingle | Olayiwola, Abdulhakeem Enioluwafe, Michael Combinatorics of counting distinct fuzzy subgroups of certain dihedral group |
| title | Combinatorics of counting distinct fuzzy subgroups of certain dihedral group |
| title_full | Combinatorics of counting distinct fuzzy subgroups of certain dihedral group |
| title_fullStr | Combinatorics of counting distinct fuzzy subgroups of certain dihedral group |
| title_full_unstemmed | Combinatorics of counting distinct fuzzy subgroups of certain dihedral group |
| title_short | Combinatorics of counting distinct fuzzy subgroups of certain dihedral group |
| title_sort | combinatorics of counting distinct fuzzy subgroups of certain dihedral group |
| url | http://journalarticle.ukm.my/13864/ http://journalarticle.ukm.my/13864/ http://journalarticle.ukm.my/13864/1/jqma-15-1-paper5.pdf |