Olayiwola, A.EniOluwafe, M.2023-02-102023-02-1020192600-8602ui_art_olayiwola_combinatorics_2019Journal of Quality Measurement and Analysis 15(1), pp. 53-64http://ir.library.ui.edu.ng/handle/123456789/7914This 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.enDihedral groupEquivalence relationFuzzy subgroupBell NumberGenerating functionArticle