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