Abstract
Any complete hypergroup H can be characterized by an ordered m-tuple of natural numbers, representing the cardinalities of the subsets of H that divide it in a specific partition. In this paper we determine necessary and sufficient conditions concerning the corresponding m-tuples such that a particular intuitionistic fuzzy set (that is the key element in determining the intuitionistic fuzzy grade of a hypergroup) is an intuitionistic fuzzy subhypergroup of special complete hypergroups, those obtained from a group isomorphic with the additive group of integers modulo a prime number, or modulo the double of a prime number.
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