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
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Abstract
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.
| Item Type: | Article |
|---|---|
| Keywords: | Dihedral group; Equivalence relation; Fuzzy subgroup; Bell Number; Generating function |
| Journal: | Journal of Quality Measurement and Analysis |
| ID Code: | 13864 |
| Deposited By: | ms aida - |
| Deposited On: | 06 Jan 2020 06:52 |
| Last Modified: | 06 Jan 2020 08:55 |
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