On Rough Fuzzy Prime Ideals in Left Almost Semigroups

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Ahmed Elmoasry, On Rough Fuzzy Prime Ideals in Left Almost Semigroups, Int. J. Anal. Appl., 19 (3) (2021), 455-464.

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Ahmed Elmoasry

Abstract

In this paper we shall introduce the notion of rough prime ideals and rough fuzzy prime ideals in LA-semigroups. We proved that the lower and the upper approximation of a prime ideal is a prime ideal and we also proved that a fuzzy subset f of an LA-semigroup S is a fuzzy prime ideal of S iff fλ≠∅ (fλs≠∅) is a prime ideal of S for every λ∈[0, 1].

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