Characterizing some regularities of ordered semigroups by their anti-hybrid ideals

Abstract

We focus on mappings called hybrid structures. A hybrid structure can be regarded as a combination of a soft set and a fuzzy set. Therefore, with the help of the products of union softs sets and fuzzy sets, we can define a new product of hybrid structure. This product defined the concepts of anti-hybrid left (resp., right, bi-) ideals in ordered semigroups. This paper considers a relationship between ideals and anti-hybrid ideals in ordered semigroups. We characterize some classes of ordered semigroups by anti-hybrid left (resp., right, bi-) ideals of ordered semigroups.

Keywords

• ordered semigroup
• hybrid structure
• anti-hybrid left ideal
• anti-hybrid right ideal
• anti-hybrid bi-ideal