Abstract
In this paper, we compute number of fuzzy subgroups of some dihedral groups such as D2pn where p is a prime number and D2p1×p2×···×pn where p1,p2,...,pn are distinct prime numbers. We use their chain diagram to determine the number of their fuzzy subgroups and present an explicit recursive formula to D2p n and at the result in specially case D2 n and finally a formula to count number of fuzzy subgroups of dihedral group D2p1×p2×···×pn .
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