Relations and homomorphisms of n-hypergroups

In this paper, some types of homomorphisms of $n$-hypergroups is introduced and several properties are found and examples are presented. Homomorphisms of $n$-hypergroups are a generalization of homomorphisms of hypergroups. Homomorphism between $n$-hypergroups and equivalence relations on $n$-hypergroups are closely related. Also, we consider an equivalence relation $\rho$ on an $n$-hypergroup $H$ and define an $n$-hyperoperation on $H/\rho$ and prove some results in this respect.