Fuzzy hyperhomomorphisms and fuzzy quotient hypergroups based on fuzzy space

Abstract EN

The aim of this paper is to introduce the notion of fuzzy hyperhomomorphism and fuzzy isomorphism between two fuzzy hypergroups based on the notion of fuzzy space as a direct generalization of fuzzy homomorphism based on the notion of universal sets in the sense of Davvaz.

We present a formulation of a fuzzy quotient hypergroups and the strong fuzzy kernel of some fuzzy homomorphisms.

Finally, we study some of their properties and prove the decomposition theorems for fuzzy hyperhomomorphism and fuzzy isomorphism.