New algebraic structures approach towards complex interval valued Q-neutrosophic subbisemiring of bisemiring

Sharifah Sakinah Syed ahmad1,∗, Nasreen Kausar2, Murugan Palanikumar3

1Department of Intelligent Computing & Analytics (ICA), Fakulti Teknologi Maklumat dan Komunikasi,

Universiti Teknikal, Malaysia

2Faculty of Arts and Science, Yildiz Technical University, Esenler, 34220, Istanbul, Turkey

3Department of Mathematics, Saveetha School of Engineering, Saveetha Institute of Medical and Technical

Sciences, Chennai-602105, India

E-mails:sakinah@utem.edu.my, kausar.nasreen57@gmail.com, palanimaths86@gmail.com

Abstract

The notion of complex interval-valued q-neutrosophic subbisemiring (CIVqNSBS) is developed and examined. Additionally, we examine the homomorphic features and significant attributes of CIVqNSBS. We suggest the CIVqNSBS level sets for bisemirings. Consider a complex neutrosophic subset of bisemiring Δ, denoted as ℵ if and only if every non-empty level set Z^(∂,♭) is a subbisemiring, where ∂, ♭ ∈ D[0, 1], then Z) = Z,Z , Z) is a CIVqNSBS of Δ. Let ℵ be the strongest complex neutrosophic relation of bisemiring Δ, and let Ψ be a CIVqNSBS of bisemiring Δ, if and only if Ψ is a CIVqNSBS of Δ × Δ, then ℵ is a CIVqNSBS of bisemiring Δ. We show that homomorphic images of all CIVqNSBSs are CIVqNSBSs, and homomorphic pre-images of all CIVqNSBSs are CIVqNSBSs. There are examples given to illustrate our results.

 Keywords: CIVqNSBS; CIVqNNSBS; SBS; Homomorphism