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International Journal of Neutrosophic Science

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https://doi.org/10.54216/IJNS

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International Journal of Neutrosophic Science

Volume 23 , Issue 1 , PP: 335-340, 2024 | Cite this article as | XML | Html | PDF | Full Length Article

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 :
    Mounikalakshmi, Remala. , Eswarlal, T.. , Kalyani, Venkata. , Iampan, Aiyared. Homomorphisms and anti-homomorphisms of neutrosophic INK-algebras. International Journal of Neutrosophic Science, vol. , no. , 2024, pp. 335-340. DOI: https://doi.org/10.54216/IJNS.230128
    Mounikalakshmi, R. Eswarlal, T. Kalyani, V. Iampan, A. (2024). Homomorphisms and anti-homomorphisms of neutrosophic INK-algebras. International Journal of Neutrosophic Science, (), 335-340. DOI: https://doi.org/10.54216/IJNS.230128
    Mounikalakshmi, Remala. Eswarlal, T.. Kalyani, Venkata. Iampan, Aiyared. Homomorphisms and anti-homomorphisms of neutrosophic INK-algebras. International Journal of Neutrosophic Science , no. (2024): 335-340. DOI: https://doi.org/10.54216/IJNS.230128
    Mounikalakshmi, R. , Eswarlal, T. , Kalyani, V. , Iampan, A. (2024) . Homomorphisms and anti-homomorphisms of neutrosophic INK-algebras. International Journal of Neutrosophic Science , () , 335-340 . DOI: https://doi.org/10.54216/IJNS.230128
    Mounikalakshmi R. , Eswarlal T. , Kalyani V. , Iampan A. [2024]. Homomorphisms and anti-homomorphisms of neutrosophic INK-algebras. International Journal of Neutrosophic Science. (): 335-340. DOI: https://doi.org/10.54216/IJNS.230128
    Mounikalakshmi, R. Eswarlal, T. Kalyani, V. Iampan, A. "Homomorphisms and anti-homomorphisms of neutrosophic INK-algebras," International Journal of Neutrosophic Science, vol. , no. , pp. 335-340, 2024. DOI: https://doi.org/10.54216/IJNS.230128

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