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International Journal of Neutrosophic Science

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International Journal of Neutrosophic Science
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Volume 23 • Issue 1 • PP: 335-340 • 2024

Homomorphisms and anti-homomorphisms of neutrosophic INK-algebras

Remala Mounikalakshmi 1*
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,
T. Eswarlal 1
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,
Venkata Kalyani U. 2
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,
Aiyared Iampan 3
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1Department of Engineering Mathematics, College of Engineering, Koneru Lakshmaiah Education Foundation, Vaddeswaram, Andhra Pradesh 522302, India
2Department of Basic Sciences and Humanities, Dhanekula Institute of Engineering and Technology, Ganguru, Andhra Pradesh 521139, India
3Department of Mathematics, School of Science, University of Phayao, 19 Moo 2, Tambon Mae Ka, Amphur Mueang, Phayao 56000, Thailand
* Corresponding Author.
DOI https://doi.org/10.54216/IJNS.230128
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© 2024 The Author(s). Published by ASPG. This article is licensed under the Creative Commons Attribution 4.0 International License (CC BY 4.0).

Received: May 19, 2023 Revised: August 25, 2023 Accepted: December 11, 2023
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Abstract

This article presents the concepts of neutrosophic INK-subalgebras and INK-ideals of INK-algebras. We also studied neutrosophic INK-subalgebras and INK-ideals that depend on homomorphisms and anti-homomorphisms.

Keywords

INK-algebra neutrosophic set neutrosophic INK-subalgebra neutrosophic INK-ideal homomorphism anti-homomorphism.

References

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[2] K. Is´eki, On BCI-algebras, Mathematics Seminar Notes (Kobe University), 8, (1980), 125-130.

[3] K. Is´eki and S. Tanaka, An Introduction to the theory of BCK-algebras, Mathematica Japonica, 23(1), (1978), 1-25.

[4] M. Kaviyarasu, K. Indhira, and V. M. Chandrasekaran, Fuzzy p-ideal in INK-algebra, Journal of Xi’an University of Architecture and Technology, 12(3), (2020), 4746-4752.

[5] M. Kaviyarasu, K. Indhira, and V. M. Chandrasekaran, Fuzzy sub algebras and fuzzy K-ideals in INKalgebras, International Journal of Pure and Applied Mathematics, 113(6), (2017), 47-55.

[6] M. Kaviyarasu, K. Indhira, and V. M. Chandrasekaran, Introduction on INK-algebras, International Journal of Pure and Applied Mathematics, 115(9), (2017), 1-10.

[7] J. Neggers, S. S. Ahn, and H. S. Kim., On Q-algebras, International Journal of Mathematics and Mathematical Sciences, 27, (2001), Article ID 589427, 9 pages.

[8] R. Rajakumari and K. R. Balasubramanian, Anti-fuzzy translation and anti-fuzzy multiplication in INKalgebras, International Journal of Management, IT & Engineering, 9(4), (2019), 1-13.

[9] F. Smarandache, A unifying field in logics: neutrosophic logic, neutrosophy, neutrosophic set, neutrosophic probability, American Research Press, Rehoboth, New Mexico, (1999).

[10] L. A. Zadeh, Fuzzy sets, Information and Control, 8(3), (1965), 338-353.

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Mounikalakshmi, Remala, Eswarlal, T., U., Venkata Kalyani, Iampan, Aiyared. "Homomorphisms and anti-homomorphisms of neutrosophic INK-algebras." International Journal of Neutrosophic Science, vol. Volume 23, no. Issue 1, 2024, pp. 335-340. DOI: https://doi.org/10.54216/IJNS.230128
Mounikalakshmi, R., Eswarlal, T., U., V., Iampan, A. (2024). Homomorphisms and anti-homomorphisms of neutrosophic INK-algebras. International Journal of Neutrosophic Science, Volume 23(Issue 1), 335-340. DOI: https://doi.org/10.54216/IJNS.230128
Mounikalakshmi, Remala, Eswarlal, T., U., Venkata Kalyani, Iampan, Aiyared. "Homomorphisms and anti-homomorphisms of neutrosophic INK-algebras." International Journal of Neutrosophic Science Volume 23, no. Issue 1 (2024): 335-340. DOI: https://doi.org/10.54216/IJNS.230128
Mounikalakshmi, R., Eswarlal, T., U., V., Iampan, A. (2024) 'Homomorphisms and anti-homomorphisms of neutrosophic INK-algebras', International Journal of Neutrosophic Science, Volume 23(Issue 1), pp. 335-340. DOI: https://doi.org/10.54216/IJNS.230128
Mounikalakshmi R, Eswarlal T, U. V, Iampan A. Homomorphisms and anti-homomorphisms of neutrosophic INK-algebras. International Journal of Neutrosophic Science. 2024;Volume 23(Issue 1):335-340. DOI: https://doi.org/10.54216/IJNS.230128
R. Mounikalakshmi, T. Eswarlal, V. U., A. Iampan, "Homomorphisms and anti-homomorphisms of neutrosophic INK-algebras," International Journal of Neutrosophic Science, vol. Volume 23, no. Issue 1, pp. 335-340, 2024. DOI: https://doi.org/10.54216/IJNS.230128
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