Multipolar neutrosophic subalgebras/ideals of UP-algebras

V.; N.

doi:https://doi.org/10.54216/IJNS.230419

Full Length Article

Volume 23 • Issue 4 • PP: 244-257 • 2024

Multipolar neutrosophic subalgebras/ideals of UP-algebras

V. Rajam ^1*

mail

,

N. Rajesh ¹

mail

¹Department of Mathematics, Rajah Serfoji Government College (affiliated to Bharathidasan University), Thanjavur-613005, Tamilnadu, India

* Corresponding Author.

DOI https://doi.org/10.54216/IJNS.230419

format_quote Cite this article

verified

Open Access & Copyright

Received: June 11, 2023 Revised: January 15, 2024 Accepted: March 13, 2024

View PDF open_in_new

Abstract

The notion of neutrosophic m-polar fuzzy sets is much wider than the notion of m-polar fuzzy sets. In this paper, we apply the theory of neutrosophic m-polar fuzzy set on UP-algebras. We introduce the concepts of neutrosophic m-polar fuzzy subalgebras, neutrosophic m-polar fuzzy ideals and neutrosophic m-polar fuzzy strong ideals and some essential properties are discussed. We characterize neutrosophic m-polar fuzzy subalgebras in terms of fuzzy subalgebras and subalgebras of UP-algebras.

Keywords

Neutrosophic m-polar fuzzy sets neutrosophic m-polar fuzzy subalgebras neutrosophic m-polar fuzzy ideals

References

[1] J. Chen, S. Li, S. Ma and X. Wang, m-Polar fuzzy sets: an extension of bipolar fuzzy sets. Sci. World J., 2014, 8. Article Id 416530.

[2] T. Guntasow, S. Sajak, A. Jomkham, A. Iampan, Fuzzy translations of a fuzzy set in UP-algebras, J. Indones. Math. Soc., 23, 2 (2017), 1-19.

[3] A. Iampan, A new branch of the logical algebra: UP-algebras, J. Algebra Relat. Top., 5, 1 (2017), 35-54. 40, 1 (2019), 60-66.

[4] J. Somjanta, N. Thuekaew, P. Kumpeangkeaw, A. Iampan, Fuzzy sets in UP-algebras, Ann. Fuzzy Math. Inform., 12, 6 (2016), 739-756.

[5] G. J.Wang, Non-classical Mathematical Logic ans approximate Reasoning, Science Press, Beijing, 1994.

[6] L. A. Zadeh, From circuit theory to system theory, Proc. Inst. Radio Eng. 50 (1962), 856-865.

[7] L. A. Zadeh, Fuzzy sets, Inform. Control 8 (1965), 338-353.

[8] L. A. Zadeh, Toward a generalized theory of uncertainty (GTU) - an outline, Inform. Sci. 172 (2005), 1-40.

Cite This Article

Choose your preferred format

format_quote

Rajam, V., Rajesh, N.. "Multipolar neutrosophic subalgebras/ideals of UP-algebras." International Journal of Neutrosophic Science, vol. Volume 23, no. Issue 4, 2024, pp. 244-257. DOI: https://doi.org/10.54216/IJNS.230419

Rajam, V., Rajesh, N. (2024). Multipolar neutrosophic subalgebras/ideals of UP-algebras. International Journal of Neutrosophic Science, Volume 23(Issue 4), 244-257. DOI: https://doi.org/10.54216/IJNS.230419

Rajam, V., Rajesh, N.. "Multipolar neutrosophic subalgebras/ideals of UP-algebras." International Journal of Neutrosophic Science Volume 23, no. Issue 4 (2024): 244-257. DOI: https://doi.org/10.54216/IJNS.230419

Rajam, V., Rajesh, N. (2024) 'Multipolar neutrosophic subalgebras/ideals of UP-algebras', International Journal of Neutrosophic Science, Volume 23(Issue 4), pp. 244-257. DOI: https://doi.org/10.54216/IJNS.230419

Rajam V, Rajesh N. Multipolar neutrosophic subalgebras/ideals of UP-algebras. International Journal of Neutrosophic Science. 2024;Volume 23(Issue 4):244-257. DOI: https://doi.org/10.54216/IJNS.230419

V. Rajam, N. Rajesh, "Multipolar neutrosophic subalgebras/ideals of UP-algebras," International Journal of Neutrosophic Science, vol. Volume 23, no. Issue 4, pp. 244-257, 2024. DOI: https://doi.org/10.54216/IJNS.230419

policy

Publisher's Note

The statements, opinions, and data presented in this article are solely those of the author(s) and do not necessarily represent those of ASPG, the journal, or its editors. ASPG and the editors disclaim responsibility for any harm arising from the use of any ideas, methods, instructions, or products described in this article, to the fullest extent permitted by applicable law.

Digital Archive Ready