ASPG Menu
search

American Scientific Publishing Group

verified Journal

International Journal of Neutrosophic Science

ISSN
Online: 2690-6805 Print: 2692-6148
Frequency

Continuous publication

Publication Model

Open access · Articles freely available online · APC applies after acceptance

International Journal of Neutrosophic Science
Full Length Article

Volume 25Issue 2PP: 259-277 • 2025

Complex cubic neutrosophic set applied to subbisemiring and its extension of bisemiring

Brikena Vrioni 1* ,
Nasreen Kausar 2 ,
Murugan Palanikumar 3 ,
Ervin Hoxha 1
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
* Corresponding Author.
Received: January 12, 2024 Revised: March 15, 2024 Accepted: May 18, 2024

Abstract

We construct and analyze 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 of bisemiring S is represented by the symbol G if and only if each non-empty level set R(p,x), where R is a ComCNSBS of S. We show that homomorphic images of all ComCNSBSs are ComCNSBSs, and homomorphic pre-images of all ComCNSBSs are ComCNSBSs. There are examples given to illustrate our results.

Keywords

ComCNSBS ComCNNSBS 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] M Palanikumar, K Arulmozhi, Novel possibility Pythagorean interval valued fuzzy soft set method for a decision making, TWMS J. App. and Eng. Math., 13(1), (2023), 327–340.

[7] 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,” Journal of International Journal of Neutrosophic Science, vol. 24, no. 2, pp. 268-282, 2024.

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

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

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

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

[12] 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.

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

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

[15] Javed Ahsan, John N. Mordeson, and Muhammad Shabir, Fuzzy Semirings with Applications to Automata Theory, Springer Heidelberg New York Dordrecht, London, 2012.

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

[17] 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.

[18] Palanikumar M, Selvi G, Ganeshsree Selvachandran and Tan S.L, New approach to bisemiring theory via the bipolar-valued neutrosophic normal sets, Neutrosophic Sets and Systems, 55, 427-450, 2023.

Cite This Article

Choose your preferred format

format_quote
Vrioni, Brikena, Kausar, Nasreen, Palanikumar, Murugan, Hoxha, Ervin. "Complex cubic neutrosophic set applied to subbisemiring and its extension of bisemiring." International Journal of Neutrosophic Science, vol. Volume 25, no. Issue 2, 2025, pp. 259-277. DOI: https://doi.org/10.54216/IJNS.250231
Vrioni, B., Kausar, N., Palanikumar, M., Hoxha, E. (2025). Complex cubic neutrosophic set applied to subbisemiring and its extension of bisemiring. International Journal of Neutrosophic Science, Volume 25(Issue 2), 259-277. DOI: https://doi.org/10.54216/IJNS.250231
Vrioni, Brikena, Kausar, Nasreen, Palanikumar, Murugan, Hoxha, Ervin. "Complex cubic neutrosophic set applied to subbisemiring and its extension of bisemiring." International Journal of Neutrosophic Science Volume 25, no. Issue 2 (2025): 259-277. DOI: https://doi.org/10.54216/IJNS.250231
Vrioni, B., Kausar, N., Palanikumar, M., Hoxha, E. (2025) 'Complex cubic neutrosophic set applied to subbisemiring and its extension of bisemiring', International Journal of Neutrosophic Science, Volume 25(Issue 2), pp. 259-277. DOI: https://doi.org/10.54216/IJNS.250231
Vrioni B, Kausar N, Palanikumar M, Hoxha E. Complex cubic neutrosophic set applied to subbisemiring and its extension of bisemiring. International Journal of Neutrosophic Science. 2025;Volume 25(Issue 2):259-277. DOI: https://doi.org/10.54216/IJNS.250231
B. Vrioni, N. Kausar, M. Palanikumar, E. Hoxha, "Complex cubic neutrosophic set applied to subbisemiring and its extension of bisemiring," International Journal of Neutrosophic Science, vol. Volume 25, no. Issue 2, pp. 259-277, 2025. DOI: https://doi.org/10.54216/IJNS.250231
Digital Archive Ready