249 215
Full Length Article
International Journal of Neutrosophic Science
Volume 23 , Issue 1, PP: 335-340 , 2024 | Cite this article as | XML | Html |PDF

Title

Homomorphisms and anti-homomorphisms of neutrosophic INK-algebras

  Remala Mounikalakshmi 1 * ,   T. Eswarlal 2 ,   Venkata Kalyani U. 3 ,   Aiyared Iampan 4

1  Department of Engineering Mathematics, College of Engineering, Koneru Lakshmaiah Education Foundation, Vaddeswaram, Andhra Pradesh 522302, India
    (mouninaidu0521@gmail.com)

2  Department of Engineering Mathematics, College of Engineering, Koneru Lakshmaiah Education Foundation, Vaddeswaram, Andhra Pradesh 522302, India
    (eswarlal@kluniversity.in)

3  Department of Basic Sciences and Humanities, Dhanekula Institute of Engineering and Technology, Ganguru, Andhra Pradesh 521139, India
    (u.v.kalyani@gmail.com)

4  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)


Doi   :   https://doi.org/10.54216/IJNS.230128

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

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 :

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

[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.


Cite this Article as :
Style #
MLA Remala Mounikalakshmi, T. Eswarlal, Venkata Kalyani U., Aiyared Iampan. "Homomorphisms and anti-homomorphisms of neutrosophic INK-algebras." International Journal of Neutrosophic Science, Vol. 23, No. 1, 2024 ,PP. 335-340 (Doi   :  https://doi.org/10.54216/IJNS.230128)
APA Remala Mounikalakshmi, T. Eswarlal, Venkata Kalyani U., Aiyared Iampan. (2024). Homomorphisms and anti-homomorphisms of neutrosophic INK-algebras. Journal of International Journal of Neutrosophic Science, 23 ( 1 ), 335-340 (Doi   :  https://doi.org/10.54216/IJNS.230128)
Chicago Remala Mounikalakshmi, T. Eswarlal, Venkata Kalyani U., Aiyared Iampan. "Homomorphisms and anti-homomorphisms of neutrosophic INK-algebras." Journal of International Journal of Neutrosophic Science, 23 no. 1 (2024): 335-340 (Doi   :  https://doi.org/10.54216/IJNS.230128)
Harvard Remala Mounikalakshmi, T. Eswarlal, Venkata Kalyani U., Aiyared Iampan. (2024). Homomorphisms and anti-homomorphisms of neutrosophic INK-algebras. Journal of International Journal of Neutrosophic Science, 23 ( 1 ), 335-340 (Doi   :  https://doi.org/10.54216/IJNS.230128)
Vancouver Remala Mounikalakshmi, T. Eswarlal, Venkata Kalyani U., Aiyared Iampan. Homomorphisms and anti-homomorphisms of neutrosophic INK-algebras. Journal of International Journal of Neutrosophic Science, (2024); 23 ( 1 ): 335-340 (Doi   :  https://doi.org/10.54216/IJNS.230128)
IEEE Remala Mounikalakshmi, T. Eswarlal, Venkata Kalyani U., Aiyared Iampan, Homomorphisms and anti-homomorphisms of neutrosophic INK-algebras, Journal of International Journal of Neutrosophic Science, Vol. 23 , No. 1 , (2024) : 335-340 (Doi   :  https://doi.org/10.54216/IJNS.230128)