On almost (m, n)-ideals and fuzzy almost (m, n)-ideals in semigroups

Abstract

In this paper, we define almost $(m,n) $-ideals of semigroups by using the concepts of $(m,n) $-ideals and almost ideals of semigroups. An almost $(m,n) $-ideal is a generalization of $(m,n) $-ideals and a generalization of almost one-sided ideals. We investigate properties of almost $(m,n) $-ideals of semigroups. Moreover, we define fuzzy almost $(m,n) $-ideals of semigroups and give relationships between almost $(m,n) $-ideals and fuzzy almost $(m,n) $-ideals.

Keywords

• (m, n)-ideals
• almost (m, n)-ideals
• fuzzy almost $(m.n) $-ideals