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,...
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Penerbit Universiti Kebangsaan Malaysia
2019
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my-ukm.journal.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 |
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| 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. |
| format |
Article |
| author |
Olayiwola, Abdulhakeem Enioluwafe, Michael |
| spellingShingle |
Olayiwola, Abdulhakeem Enioluwafe, Michael Combinatorics of counting distinct fuzzy subgroups of certain dihedral group |
| author_facet |
Olayiwola, Abdulhakeem Enioluwafe, Michael |
| author_sort |
Olayiwola, Abdulhakeem |
| title |
Combinatorics of counting distinct fuzzy subgroups of certain dihedral group |
| title_short |
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_sort |
combinatorics of counting distinct fuzzy subgroups of certain dihedral group |
| publisher |
Penerbit Universiti Kebangsaan Malaysia |
| publishDate |
2019 |
| url |
http://journalarticle.ukm.my/13864/1/jqma-15-1-paper5.pdf http://journalarticle.ukm.my/13864/ http://www.ukm.my/jqma/jqma15_1a.html |
| _version_ |
1657565430698475520 |