Atanassov's intuitionistic fuzzy hypergroups(Hv-group)‎ based on intuitionistic fuzzy universal sets

الملخص EN

The aim of this paper is to present a formulation of intuitionistic fuzzy hypergroup based on the notion of intuitionistic fuzzy universal set as a di- rect generalization of fuzzy hypergroup based on the notion of fuzzy universal set.

A relation between intuitionistic fuzzy hypergroup based on intuitionistic fuzzy universal set and fuzzy hypergroup based on fuzzy universal set is ob- tained in terms of induction and correspondence and the relation between the intuitionistic fuzzy subhypergroup and the classical fuzzy hypergroup in the sense of Davvaz is obtained.