Hybrid n-Interior Ideals and Hybrid (m, n)-Ideals in Ordered Semigroups

A hybrid structure is a mapping defined by integrating a soft set and a fuzzy set. Therefore, the concept of hybrid structures is an abstraction of soft sets and fuzzy sets. As a result, we can apply soft (resp., fuzzy) ideals in ordered semigroups to the hybrid structure settings. In the present paper, we introduce the notion of hybrid $n$-interior ideals and hybrid $(m\text{,}n)$-ideals in ordered semigroups. We characterize hybrid $n$-interior ideals and hybrid $(m\text{,}n)$-ideals in ordered semigroups by using the product of hybrid structures. Moreover, we provide a connection between $n$-interior (resp., $(m\text{,}n)$-) ideals and hybrid $n$-interior (resp., $(m\text{,}n)$-) ideals in ordered semigroups.