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International Journal of Neutrosophic Science
Volume 23 , Issue 4, PP: 244-257 , 2024 | Cite this article as | XML | Html |PDF

Title

Multipolar neutrosophic subalgebras/ideals of UP-algebras

  V. Rajam 1 ,   N. Rajesh 2 *

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

2  Department of Mathematics, Rajah Serfoji Government College (affiliated to Bharathidasan University), Thanjavur-613005, Tamilnadu, India
    (nrajesh topology@yahoo.co.in)

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

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

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.

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MLA V. Rajam, N. Rajesh. "Multipolar neutrosophic subalgebras/ideals of UP-algebras." International Journal of Neutrosophic Science, Vol. 23, No. 4, 2024 ,PP. 244-257 (Doi   :  https://doi.org/10.54216/IJNS.230419)
APA V. Rajam, N. Rajesh. (2024). Multipolar neutrosophic subalgebras/ideals of UP-algebras. Journal of International Journal of Neutrosophic Science, 23 ( 4 ), 244-257 (Doi   :  https://doi.org/10.54216/IJNS.230419)
Chicago V. Rajam, N. Rajesh. "Multipolar neutrosophic subalgebras/ideals of UP-algebras." Journal of International Journal of Neutrosophic Science, 23 no. 4 (2024): 244-257 (Doi   :  https://doi.org/10.54216/IJNS.230419)
Harvard V. Rajam, N. Rajesh. (2024). Multipolar neutrosophic subalgebras/ideals of UP-algebras. Journal of International Journal of Neutrosophic Science, 23 ( 4 ), 244-257 (Doi   :  https://doi.org/10.54216/IJNS.230419)
Vancouver V. Rajam, N. Rajesh. Multipolar neutrosophic subalgebras/ideals of UP-algebras. Journal of International Journal of Neutrosophic Science, (2024); 23 ( 4 ): 244-257 (Doi   :  https://doi.org/10.54216/IJNS.230419)
IEEE V. Rajam, N. Rajesh, Multipolar neutrosophic subalgebras/ideals of UP-algebras, Journal of International Journal of Neutrosophic Science, Vol. 23 , No. 4 , (2024) : 244-257 (Doi   :  https://doi.org/10.54216/IJNS.230419)
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