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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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2019
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| LEADER | 00000njm a2000000a 4500 | ||
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| 001 | oai:repository.ui.edu.ng:123456789/7914 | ||
| 042 | |a dc | ||
| 720 | |a Olayiwola, A. |e author | ||
| 720 | |a EniOluwafe, M. |e author | ||
| 260 | |c 2019 | ||
| 520 | |a 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. | ||
| 024 | 8 | |a 2600-8602 | |
| 024 | 8 | |a ui_art_olayiwola_combinatorics_2019 | |
| 024 | 8 | |a Journal of Quality Measurement and Analysis 15(1), pp. 53-64 | |
| 024 | 8 | |a http://ir.library.ui.edu.ng/handle/123456789/7914 | |
| 653 | |a Dihedral group | ||
| 653 | |a Equivalence relation | ||
| 653 | |a Fuzzy subgroup | ||
| 653 | |a Bell Number | ||
| 653 | |a Generating function | ||
| 245 | 0 | 0 | |a Combinatorics of counting distinct fuzzy subgroups of certain dihedral group |