Complex cubic neutrosophic set applied to subbisemiring and its

extension of bisemiring

Brikena Vrioni1,∗, Nasreen Kausar2, Murugan Palanikumar3, Ervin Hoxha4

1School of Arts and Sciences, American International University, Kuwait

2Department of Mathematics, Faculty 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

4School of Arts and Sciences, American International University, Kuwait

E-mails:brikena.vrioni@yahoo.com; kausar.nasreen57@gmail.com; palanimaths86@gmail.com;

ervin.hoxha1990@gmail.com

Abstract

We construct the concept of complex cubic neutrosophic subbisemiring (ComCNSBS). We analyze the important

properties and homomorphic aspects of ComCNSBS. For bisemirings, we propose the ComCNSBS

level sets. A complex neutrosophic subset Γ if and only if each non-empty level set R(℘,κ), where R =

(cℜT

Γ · eiθcℑTΓ

, cℜI

Γ · eiθcℑI

Γ, cℜFΓ

· eiθdℑFΓ

,ℜT

Γ · eiθℑT

Γ ,ℜI

Γ · eiθℑI

Γ,ℜFΓ

· eiθℑF

Γ ) is a ComCNSBS. We show that homomorphic

images of all ComCNSBSs are ComCNSBSs, and homomorphic pre-images of all ComCNSBSs

are ComCNSBSs. We illustrate the practical significance of our findings.

Keywords: ComCNSBS; ComCNNSBS; SBS; homomorphism