Characterizations of ordered semigroups in terms of fuzzy (m, n)-substructures

Abstract

Abstract

In this article, the concept of fuzzy (m, n)-quasi-ideals in ordered semigroups is developed and discussed in various ways. In addition, we present the concepts of fuzzy (m, 0)-ideals and fuzzy (0, n)-ideals in ordered semigroups and investigate some of their associated properties. Furthermore, the (m, n)-regular ordered semigroups are studied in terms of fuzzy (m, n)-quasi-ideals, fuzzy (m, 0)-ideals, and fuzzy (0, n)-ideals.

Keywords: Ordered semigroup, Fuzzy (m, n)-quasi-ideals, Fuzzy (0, n)-ideals, Quasi-ideals in Semigroups