Combinatorics of counting distinct fuzzy subgroups of certain dihedral group

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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