International Journal of Neutrosophic Science

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https://doi.org/10.54216/IJNS

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2690-6805ISSN (Online) 2692-6148ISSN (Print)

Volume 25 , Issue 2 , PP: 93-116, 2025 | Cite this article as | XML | Html | PDF | Full Length Article

New approach for subbisemiring of bisemiring is applied to complex cubic anti neutrosophic set and its extension

Aiyared Iampan 1 * , Murugan Palanikumar 2

  • 1 Department of Mathematics, School of Science, University of Phayao, 19 Moo 2,Tambon Mae Ka, Amphur Mueang, Phayao 56000, Thailand - (aiyared.ia@up.ac.th;)
  • 2 Department of Mathematics, Saveetha School of Engineering, Saveetha Institute of Medical and Technical Sciences, Chennai-602105, India - (palanimaths86@gmail.com)
  • Doi: https://doi.org/10.54216/IJNS.250209

    Received: February 08, 2024 Revised: April 30, 2024 Accepted: July 27, 2024
    Abstract

    We construct and analyze the concept of complex cubic anti neutrosophic subbisemiring (ComCANSBS). We analyze the important properties and homomorphic aspects of ComCANSBS. For bisemirings, we propose the ComCANSBS level sets. A complex neutrosophic subset of bisemiring is represented by the symbol Γ if and only if each non-empty level set R(℘,κ), where R) = |Γ ·eiθ z}|{Γ ,z}|{ גΓ ·eiθz}|{ גΓ ,z}|{ℜΓ ·eiθz}|{ℑΓ ,ℜΓ ·eiθℑΓ ,ℜ גΓ · eiθℑ גΓ,ℜΓ · eiθℑΓ ) is a ComCANSBS of . Let Υ be a ComCANSBS of bisemiring . If and only if Υ is a ComCANSBS of × , then Γ is a ComCANSBS of bisemiring . Let Γ be the strongest complex anti neutrosophic relation of bisemiring . We show that homomorphic images of all ComCANSBSs are ComCANSBSs, and homomorphic pre-images of all ComCANSBSs are ComCANSBSs. There are examples given to illustrate our results.

    Keywords :

    ComCANSBS , ComCNANSBS , SBS , homomorphism

    References

    [1] L. A. Zadeh, Fuzzy sets, Information and Control, 8, (1965), 338-353.

    [2] K. Atanassov, Intuitionistic fuzzy sets, Fuzzy Sets and Systems, 20(1), (1986) 87-96.

    [3] R. R. Yager, Pythagorean membership grades in multi criteria decision-making, IEEE Trans. Fuzzy Systems, 22, (2014), 958-965.

    [4] S. Ashraf, S. Abdullah, T. Mahmood, F. Ghani and T. Mahmood, Spherical fuzzy sets and their applications in multi-attribute decision making problems, Journal of Intelligent and Fuzzy Systems, 36, (2019), 2829-284.

    [5] B.C. Cuong and V. Kreinovich, Picture fuzzy sets a new concept for computational intelligence problems, in Proceedings of 2013 Third World Congress on Information and Communication Technologies (WICT 2013), IEEE, (2013), 1-6.

    [6] F. Smarandache, A unifying field in logics Neutrosophy Neutrosophic Probability, Set and Logic, Rehoboth American Research Press (1999).

    [7] Daniel Ramot, Ron Milo, Menahem Friedman, and Abraham Kandel, Complex fuzzy set, IEEE Transactions on Fuzzy System, 10(2), 2002.

    [8] S.J Golan, Semirings and their Applications, Kluwer Academic Publishers, London, 1999.

    [9] Faward Hussian, Raja Muhammad Hashism, Ajab Khan, Muhammad Naeem, Generalization of bisemirings, International Journal of Computer Science and Information Security, 14(9), (2016), 275-289.

    [10] K. M. Lee, Bipolar-valued fuzzy sets and their operations, Proc. Int. Conf. Intelligent Technologies Bangkok, Thailand, (2000) 307-312.

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

    [12] M.K Sen, S. Ghosh An introduction to bisemirings, Southeast Asian Bulletin of Mathematics, 28(3), (2001), 547-559.

    [13] Hasan, Z. ”Deep Learning for Super Resolution and Applications,” Galoitica: Journal of Mathematical Structures and Applications, vol. 8, no. 2, pp. 34-42, 2023.

    [14] Roopadevi1,, P. Karpagadevi, M. Krishnaprakash, S. Broumi, S. Gomathi, S. ”Comprehensive DecisionMaking with Spherical Fermatean Neutrosophic Sets in Structural Engineering,” International Journal of Neutrosophic Science, vol. 24, no. 4, pp. 432-450, 2024.

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

    [16] Mahmoud, H. Abdelhafeez, A. ”Spherical Fuzzy Multi-Criteria Decision-Making Approach for Risk Assessment of Natech,” Journal of Neutrosophic and Information Fusion, vol. 2, no. 1, pp. 59-68, 2023.

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

    [18] M Palanikumar, S Broumi, Square root (l1, l2)phantine neutrosophic normal interval-valued sets and their aggregated operators in application to multiple attribute decision making, International Journal of Neutrosophic Science, 4, (2022).

    [19] Ozcek, M. ”A Review on the Structure of Fuzzy Regular Proper Mappings in Fuzzy Topological Spaces and Their Properties,” Journal of Pure Mathematics for Theoretical Computer Science, vol. 3, no. 2, pp. 60-71, 2023.

    [20] Ali, O. Mashhadani, S. Alhakam, I. M., S. ”A New Paradigm for Decision Making under Uncertainty in Signature Forensics Applications based on Neutrosophic Rule Engine,” International Journal of Neutrosophic Science, vol. 24, no. 2, pp. 268-282, 2024.

    [21] M Palanikumar, N Kausar, H Garg, A Iampan, S Kadry, M Sharaf, Medical robotic engineering selection based on square root neutrosophic normal interval-valued sets and their aggregated operators, AIMS Mathematics, 8(8), (2023), 17402–17432.

    [22] A. Al Quran, A. G. Ahmad, F. Al-Sharqi, A. Lutfi, Q-Complex Neutrosophic Set, International Journal of Neutrosophic Science, 20(2), (2023), 08–19.

    [23] F. Al-Sharqi, M. U. Romdhini, A. Al-Quran, Group decision-making based on aggregation operator and score function of Q-neutrosophic soft matrix, Journal of Intelligent and Fuzzy Systems, 45, (2023), 305– 321.

    [24] F. Al-Sharqi, Y. Al-Qudah and N. Alotaibi, Decision-making techniques based on similarity measures of possibility neutrosophic soft expert sets. Neutrosophic Sets and Systems, 55(1), (2023), 358–382.

    [25] F. Al-Sharqi, A. G. Ahmad, A. Al Quran, Mapping on interval complex neutrosophic soft sets, International Journal of Neutrosophic Science, 19(4), (2022), 77–85.

    [26] A. Al-Quran, F. Al-Sharqi, K. Ullah, M. U. Romdhini, M. Balti and M. Alomai, Bipolar fuzzy hypersoft set and its application in decision making, International Journal of Neutrosophic Science, 20(4), (2023), 65–77.

    Cite This Article As :
    Iampan, Aiyared. , Palanikumar, Murugan. New approach for subbisemiring of bisemiring is applied to complex cubic anti neutrosophic set and its extension. International Journal of Neutrosophic Science, vol. , no. , 2025, pp. 93-116. DOI: https://doi.org/10.54216/IJNS.250209
    Iampan, A. Palanikumar, M. (2025). New approach for subbisemiring of bisemiring is applied to complex cubic anti neutrosophic set and its extension. International Journal of Neutrosophic Science, (), 93-116. DOI: https://doi.org/10.54216/IJNS.250209
    Iampan, Aiyared. Palanikumar, Murugan. New approach for subbisemiring of bisemiring is applied to complex cubic anti neutrosophic set and its extension. International Journal of Neutrosophic Science , no. (2025): 93-116. DOI: https://doi.org/10.54216/IJNS.250209
    Iampan, A. , Palanikumar, M. (2025) . New approach for subbisemiring of bisemiring is applied to complex cubic anti neutrosophic set and its extension. International Journal of Neutrosophic Science , () , 93-116 . DOI: https://doi.org/10.54216/IJNS.250209
    Iampan A. , Palanikumar M. [2025]. New approach for subbisemiring of bisemiring is applied to complex cubic anti neutrosophic set and its extension. International Journal of Neutrosophic Science. (): 93-116. DOI: https://doi.org/10.54216/IJNS.250209
    Iampan, A. Palanikumar, M. "New approach for subbisemiring of bisemiring is applied to complex cubic anti neutrosophic set and its extension," International Journal of Neutrosophic Science, vol. , no. , pp. 93-116, 2025. DOI: https://doi.org/10.54216/IJNS.250209