Characterization of regular (λ, µ) bipolar valued neutrosophic ideals of an ordered Λ-semigroups

Abstract

The concept of (λ, µ) bipolar valued neutrosophic subsemigroup (BVNSS), bipolar valued neutrosophic left ideal (BVNLI), bipolar valued neutrosophic right ideal (BVNRI), bipolar valued neutrosophic ideal (NI), and bipolar valued neutrosophic bi-ideal (BVNBI) of an ordered Λ-semigroups is presented in this paper along with some of its characteristics. A novel extension of the bipolar valued neutrosophic ideal over ordered Λsemigroups s is the notion of (λ, µ)-bipolar valued neutrosophic ideal. Let ∂λn is a non-empty subset of s, that is a (λ, µ)-BVNSS (BVNLI, BVNRI, BVNBI). Then Ξλn is the lower level set, is a subsemigroup (BV LI, BV RI, BV BI) of s. Examples are given to demonstrate our findings, h owever t he o pposite need not be true. Every (λ, µ)BVNSS is a BVNSS of s.