The concept of -semihypergroups is a generalization of semigroups, a generalization of semihypergroups and a generalization of -semigroups. In this paper, we study the concept of semiprime ideals in a -semihypergroup and prove some results. Also, we introduce the notion of -hypergroups and closed -subhypergroups. Finally, we study the concept of -semihypergroups associated to binary relations and give necessary and sufficient conditions on a set of binary relations on a non-empty set S such that S becomes a -semihypergroup or a -hypergroup