Relations and homomorphisms of nn-hypergroups

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