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International Journal of Neutrosophic Science

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Online: 2690-6805 Print: 2692-6148
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International Journal of Neutrosophic Science
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Volume 24 • Issue 3 • PP: 85-101 • 2024

New approach to bisemiring via the q-neutrosophic cubic vague subbisemiring

S. Selvaraj 1*
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,
M. Palanikumar 2
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,
Faisal Al-Sharqi 3
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,
Ashraf Al-Quran 4
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,
Ali M. A. Bany Awad 5
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,
K. Lenin Muthu Kumaran 6
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,
M. Geethalakshmi 7
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1Department of Mathematics, Shanmuga Industries Arts and Science College, Affiliated to Thiruvalluvar University, Tiruvannamalai, Tamil Nadu, India, 606603.
2Department of Mathematics, Saveetha School of Engineering, Saveetha Institute of Medical and Technical Sciences, Chennai-602105, India
3Department of Mathematics, Faculty of Education for Pure Sciences, University Of Anbar, Ramadi, Anbar, Iraq; College of Pharmacy, National University of Science and Technology, Dhi Qar, Iraq
4Department of Basic Sciences, Preparatory Year, King Faisal University, Al-Ahsa 31982, Saudi Arabia; Department of mathematics and statistics, College of Science, King Faisal University, Al-A
5Deanship of Development and Quality Assurance, King Faisal University, Al-Ahsa 31982, Saudi Arabia.
6Department of Mathematics, Shanmuga Industries Arts and Science College, Affiliated to Thiruvalluvar University, Tiruvannamalai, Tamil Nadu, India, 606603
7Department of Mathematics, KCG College of Technology, Karapakkam, Chennai 600097, India
* Corresponding Author.
DOI https://doi.org/10.54216/IJNS.240308
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© 2024 The Author(s). Published by ASPG. This article is licensed under the Creative Commons Attribution 4.0 International License (CC BY 4.0).

Received: October 24, 2023 Revised: February 22, 2024 Accepted: May 07, 2024
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Abstract

We introduce the notion of q-neutrosophic cubic vague subbisemiring (q-NSCVSBS) and level set of q- NSCVSBS of a bisemiring. The q-NSCVSBS is a new concept of subbisemirings of bisemirings.  Let X be a neutrosophic vague subset of L. Then W = ([T-, T+ ], [I-, I+ ],[F-,F+ ]) is a q-NSCVSBS of L if and only if all non-empty level set is also a SBS of L. Let X be the q-NSCVSBS of L and ¡ be the strongest cubic q-neutrosophic vague relation of L*L. Then X is a q-NSCVSBS of L* L. Let X be the q-NSCVSBS of L, show that pseudo cubic q-neutrosophic vague coset is also a q-NSCVSBS of L. Let X1, X2,….. Xn be the any family of q-NSCV SBSs of L1, L2,…., Ln respectively, then X1* X2 *….. * Xn is also a q-NSCVSBS of L1 * L2 *…. *Ln .The homomorphic image of every q-NSCVSBS is also a q-NSCVSBS. The homomorphic pre-image of every q-NSCVSBS is also a q-NSCVSBS.

Keywords

Subbisemiring cubic neutrosophic subbisemiring vague bisemiring homomorphism.

References

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Selvaraj, S., Palanikumar, M., Al-Sharqi, Faisal, Al-Quran, Ashraf, Awad, Ali M. A. Bany, Kumaran, K. Lenin Muthu, Geethalakshmi, M.. "New approach to bisemiring via the q-neutrosophic cubic vague subbisemiring." International Journal of Neutrosophic Science, vol. Volume 24, no. Issue 3, 2024, pp. 85-101. DOI: https://doi.org/10.54216/IJNS.240308
Selvaraj, S., Palanikumar, M., Al-Sharqi, F., Al-Quran, A., Awad, A., Kumaran, K., Geethalakshmi, M. (2024). New approach to bisemiring via the q-neutrosophic cubic vague subbisemiring. International Journal of Neutrosophic Science, Volume 24(Issue 3), 85-101. DOI: https://doi.org/10.54216/IJNS.240308
Selvaraj, S., Palanikumar, M., Al-Sharqi, Faisal, Al-Quran, Ashraf, Awad, Ali M. A. Bany, Kumaran, K. Lenin Muthu, Geethalakshmi, M.. "New approach to bisemiring via the q-neutrosophic cubic vague subbisemiring." International Journal of Neutrosophic Science Volume 24, no. Issue 3 (2024): 85-101. DOI: https://doi.org/10.54216/IJNS.240308
Selvaraj, S., Palanikumar, M., Al-Sharqi, F., Al-Quran, A., Awad, A., Kumaran, K., Geethalakshmi, M. (2024) 'New approach to bisemiring via the q-neutrosophic cubic vague subbisemiring', International Journal of Neutrosophic Science, Volume 24(Issue 3), pp. 85-101. DOI: https://doi.org/10.54216/IJNS.240308
Selvaraj S, Palanikumar M, Al-Sharqi F, Al-Quran A, Awad A, Kumaran K, Geethalakshmi M. New approach to bisemiring via the q-neutrosophic cubic vague subbisemiring. International Journal of Neutrosophic Science. 2024;Volume 24(Issue 3):85-101. DOI: https://doi.org/10.54216/IJNS.240308
S. Selvaraj, M. Palanikumar, F. Al-Sharqi, A. Al-Quran, A. Awad, K. Kumaran, M. Geethalakshmi, "New approach to bisemiring via the q-neutrosophic cubic vague subbisemiring," International Journal of Neutrosophic Science, vol. Volume 24, no. Issue 3, pp. 85-101, 2024. DOI: https://doi.org/10.54216/IJNS.240308
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