عنوان مقاله [English]
The Γ–hyperstructres algebraic are generalization of hypestructures algebraic and classical structures. One of them is Γ –semihypergroup that is a generalization of semihypergroups and semigroup. In this paper, we introduce the concept of quasi order Γ-semihypergroup and order Γ-semihypergroup as a generalization of quasi order semihypergroup and order semihypergroup, respectively. Also, we characterize quasi order Γ-semihypergroup by quasi order relation and introduce complete pats and fundamental relation in quasi order Γ-semihypergroup. Finally, we construct quasi order semihypergroup and order semihypergroup by quasi order Γ-semihypergroup and order Γ-semihypergroup.