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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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Penerbit Universiti Kebangsaan Malaysia
2019
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| Online Access: | http://journalarticle.ukm.my/13864/1/jqma-15-1-paper5.pdf http://journalarticle.ukm.my/13864/ http://www.ukm.my/jqma/jqma15_1a.html |
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| Institution: | Universiti Kebangsaan Malaysia |
| Language: | English |
| Summary: | 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. |
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