Characterizations of ordered semihypergroups by the properties of their intersectional-soft generalized bi-hyperideals

Molodtsov’s soft set theory is a new mathematical model for dealing with uncertainty from a parameterization point of view. In soft set theory, the problem of setting the membership function does not arise, which makes the theory easily applied to many different fields. In this paper, we discuss a new approach to soft sets and compare soft sets to the related concepts of ordered semihypergroups. We define int-soft generalized bi-hyperideals in ordered semihypergroups and characterize regular and left weakly regular ordered semihypergroups by the properties of their int-soft generalized bi-hyperideals.

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