The relationship between intuitionistic fuzzy normal subhypergroups based on intuitionistic fuzzy space and Atanassove’s approach

Abstract

The aim of this paper is to present a formulation of intoitionstic fuzzy normal sub-hypergroup (intuitionistic fuzzy normal Hv -subgroup) in intuitionistic fuzzy hyper- group based on the notion of intuitionistic fuzzy space as a direct generalization of fuzzy normal Hv -subgroup based on the notion of fuzzy universal set. A relation between intuit- tionistic fuzzy normal sub-hypergroup (intuitionistic fuzzy normal Hv -subgroup) based on intuition- istic fuzzy space and fuzzy normal sub-hypergroup based on fuzzy space is obtained in terms of induction and correspondence and the relation between the intuitionistic fuzzy normal subhyper group (intuitionistic fuzzy normal Hv- subgroup) and the classical intuitionistic fuzzy normal sub-hypergroup in the sense of Davvaz is obtained.