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

Abstract

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,n)-ideals in ordered semigroups. We characterize hybrid n-interior ideals and hybrid (m,n)-ideals in ordered semigroups by using the product of hybrid structures. Moreover, we provide a connection between n-interior (resp., (m,n)-) ideals and hybrid n-interior (resp., (m,n)-) ideals in ordered semigroups.

Keywords

• hybrid n-interior ideal
• hybrid (m, n)-ideal
• product
• ordered semigroup