A Study on A − I − Γ -Hyperideals and m , n − Γ -Hyperfilters in Ordered Γ -Semihypergroups

The concept of almost interior - hyperideals ( - hyperideals) in ordered - semihypergroups is a generalization of the concept of interior - hyperideals ( - hyperideals). In this study, the connections between - hyperideals and - hyperideals in ordered - semihypergroups were presented. Also, we define the notion of - -hyperfilters of ordered - semihypergroups and provide useful results on it. Moreover, we use the weak pseudoorders to construct quotient ordered - semihypergroups by using ordered regular equivalence relations. These concepts lead us to a new research direction in ordered - semihypergroups.