A Study on -Hyperideals and -Hyperfilters in Ordered -Semihypergroups

[摘要] 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.

[学科分类] 安全、风险、质量和可靠性