New approach towards (ζ1, ζ2)-interval valued Q1 neutrosophic subbisemirings of bisemirings and its extension.

We introduce the notions of (τ₁, τ₂)-interval valued Q₁ neutrosophic subbisemirings (IVQ₁NSBSs), level sets of a (τ₁, τ₂)-IVQ₁NSBS, and (τ₁, τ₂)-interval valued Q₁ neutrosophic normal subbisemirings ((τ₁, τ₂)-IVQ₁NNSBS) of a bisemiring. Let cZ₁ be a (τ₁, τ₂)-IVQ₁NSBS of a bisemiring M and bV be the strongest(τ₁, τ₂)-interval valued Q₁ neutrosophic relation of M. To illustrate cZ₁ is a (τ₁, τ₂)-IVQ₁NSBS of M if and only if bV is a (τ₁, τ₂)-IVQ₁NSBS of M ⋇ M. We show that homomorphic image of (τ₁, τ₂)-IVQ₁NSBS is again a (τ₁, τ₂)-IVQ₁NSBS. To determine homomorphic pre-image of (τ₁, τ₂)-IVQ₁NSBS is also a (τ₁, τ₂)- IVQ₁NSBS. Examples are given to strengthen our results. [ABSTRACT FROM AUTHOR]