Submit Your Paper
  1. Home
  2. Journals
  3. International Journal of Neutrosophic Science

International Journal of Neutrosophic Science

Journal DOI

https://doi.org/10.54216/IJNS

Submit Your Paper

2690-6805ISSN (Online) 2692-6148ISSN (Print)
Submit Your Paper

Journal Menu

Homepage Journal Overview Editorial Board Submitting Articles Indexing & Abstracting

Journal Volumes

International Journal of Neutrosophic Science

Volume 24 , Issue 3 , PP: 85-101, 2024 | Cite this article as | XML | Html | PDF | Full Length Article

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

S. Selvaraj 1 , M. Palanikumar 2 , Faisal Al-Sharqi 3 , Ashraf Al-Quran 4 , Ali M. A. Bany Awad 5 , K. Lenin Muthu Kumaran 6 * , M. Geethalakshmi 7

  • 1 Department of Mathematics, Shanmuga Industries Arts and Science College, Affiliated to Thiruvalluvar University, Tiruvannamalai, Tamil Nadu, India, 606603. - (selvarajindian14@gmail.com)
  • 2 Department of Mathematics, Saveetha School of Engineering, Saveetha Institute of Medical and Technical Sciences, Chennai-602105, India - (palanimaths86@gmail.com)
  • 3 Department 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 - (faisal.ghazi@uoanbar.edu.iq)
  • 4 Department 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-Ahsa 31982, Saudi Arabia. - (aalquran@kfu.edu.sa)
  • 5 Deanship of Development and Quality Assurance, King Faisal University, Al-Ahsa 31982, Saudi Arabia. - (abanyawad@kfu.edu.sa)
  • 6 Department of Mathematics, Shanmuga Industries Arts and Science College, Affiliated to Thiruvalluvar University, Tiruvannamalai, Tamil Nadu, India, 606603 - (leninmuthukumaran@gmail.com)
  • 7 Department of Mathematics, KCG College of Technology, Karapakkam, Chennai 600097, India - (geetharamon@gmail.com)

    • Doi: https://doi.org/10.54216/IJNS.240308

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

    [1] Zadeh, L. A.; Fuzzy sets, Information and Control 1965, 8, no. 3, 338-353.

    [2] Gau, W. L.; Buehrer, D. J.; Vague sets, IEEE Transactions on Systems, Man and Cybernetics 1993, 23, no. 2, 610-613.

    [3] Atanassov, K; Intuitionistic fuzzy sets, Fuzzy Sets and Systems 1986, 20, no. 1, 87-96.

    [4] Smarandache, F.; A unifying field in logics: neutrosophic logic. Neutrosophy, neutrosophic set, neutrosophic probability (fourth edition), Rehoboth American Research Press, 2008.

    [5] Smarandache, F.; Neutrosophic set-a generalization of the intuitionistic fuzzy set, International Journal of Pure and Applied Mathematics 2005, 24, no. 3, 287-297.

    [6] Ahsan, J.; Saifullah, K.; Khan, F. Fuzzy semirings, Fuzzy Sets and systems 1993, 60, 309-320.

    [7] SG Quek, H Garg, G Selvachandran, K Arulmozhi,VIKOR and TOPSIS framework with a truthfuldistance measure for the (t, s)-regulated interval-valued neutrosophic soft set, Soft Computing, 1-27, 2023.

    [8] K Arulmozhi, A Iampan, Multi criteria group decision making based on VIKOR and TOPSIS methods for Fermatean fuzzy soft with aggregation operators, ICIC Express Letters 16 (10), 1129–1138, 2022.

    [9] M Palanikumar, K Arulmozhi, MCGDM based on TOPSIS and VIKOR using Pythagorean neutrosophic soft with aggregation operators, Neutrosophic Sets and Systems,, 538-555, 2022.

    [10] Palanikumar, M., Arulmozhi, K, On intuitionistic fuzzy normal subbisemiring of bisemiring, Nonlinear Studies 2021, 28(3), 717–721.

    [11] Sen, M.K.; Ghosh, S.; Ghosh, S. An introduction to bisemirings. Southeast Asian Bulletin of Mathematics, 2004, 28(3), 547-559.

    [12] Biswas, R.; Vague groups, International Journal of Computational Cognition 2006, 4, no. 2, 20-23.

    [13] Golan, S. J; Semirings and their applications, Kluwer Academic Publishers, London, 1999.

    [14] Hussian, F.; Hashism, R. M.; Khan, A.; Naeem, M.; Generalization of bisemirings, International Journal of Computer Science and Information Security 2016, 14, no. 9, 275-289.

    Cite This Article As :
    Selvaraj, S.. , Palanikumar, M.. , Al-Sharqi, Faisal. , Al-Quran, Ashraf. , M., Ali. , Lenin, K.. , Geethalakshmi, M.. New approach to bisemiring via the q-neutrosophic cubic vague subbisemiring. International Journal of Neutrosophic Science, vol. , no. , 2024, pp. 85-101. DOI: https://doi.org/10.54216/IJNS.240308
    Selvaraj, S. Palanikumar, M. Al-Sharqi, F. Al-Quran, A. M., A. Lenin, K. Geethalakshmi, M. (2024). New approach to bisemiring via the q-neutrosophic cubic vague subbisemiring. International Journal of Neutrosophic Science, (), 85-101. DOI: https://doi.org/10.54216/IJNS.240308
    Selvaraj, S.. Palanikumar, M.. Al-Sharqi, Faisal. Al-Quran, Ashraf. M., Ali. Lenin, K.. Geethalakshmi, M.. New approach to bisemiring via the q-neutrosophic cubic vague subbisemiring. International Journal of Neutrosophic Science , no. (2024): 85-101. DOI: https://doi.org/10.54216/IJNS.240308
    Selvaraj, S. , Palanikumar, M. , Al-Sharqi, F. , Al-Quran, A. , M., A. , Lenin, K. , Geethalakshmi, M. (2024) . New approach to bisemiring via the q-neutrosophic cubic vague subbisemiring. International Journal of Neutrosophic Science , () , 85-101 . DOI: https://doi.org/10.54216/IJNS.240308
    Selvaraj S. , Palanikumar M. , Al-Sharqi F. , Al-Quran A. , M. A. , Lenin K. , Geethalakshmi M. [2024]. New approach to bisemiring via the q-neutrosophic cubic vague subbisemiring. International Journal of Neutrosophic Science. (): 85-101. DOI: https://doi.org/10.54216/IJNS.240308
    Selvaraj, S. Palanikumar, M. Al-Sharqi, F. Al-Quran, A. M., A. Lenin, K. Geethalakshmi, M. "New approach to bisemiring via the q-neutrosophic cubic vague subbisemiring," International Journal of Neutrosophic Science, vol. , no. , pp. 85-101, 2024. DOI: https://doi.org/10.54216/IJNS.240308

    Article Statistics

    View
    11199
    Download
    396

    Download