On the Fuzzy Subhypergroups of Some Particular Complete Hypergroups (I)
نویسنده
چکیده
Any complete hypergroup H may be represented as the union g g G H A ∈ = , where G is a group and the subsets Ag of H satisfy certain properties. With any hypergroupoid 〈H, o〉 we may associate a particular fuzzy set μ . In this paper we determine sufficient and necessary conditions for a finite complete hypergroup 〈H, o〉, where p G (Z , ) ≅ + or 2p G (Z , ) ≅ + , p a prime number, such that the fuzzy set μ is a fuzzy subhypergroup of H. Moreover, as an intermediate result, we give a new decomposition of the multiplicative group Zp\{0}, with p an odd prime.
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