New approach to bisemiring theory via the bipolar valued neutrosophic normal sets

Abstract

In this paper, we introduce the notion of bipolar-valued neutrosophic subbisemiring (BVNSBS), level sets of BVNSBS, and bipolar valued neutrosophic normal subbisemiring (BVNNSBS) of a bisemiring. The concept of BVNSBS is a new generalization of subbisemiring over bisemirings. We discussed the theory of (ξ, τ )- BVNSBS and (ξ, τ )-BVNNSBS over bisemirings and presented several illustrative examples to demonstrate the sufficiency and validity of the proposed theorems, lemmas, and propositions.

Keywords

• fuzzy set
• bipolar valued neutrosophic subbisemiring
• bipolar valued neutrosophic bisemiring
• homomorphism