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International Journal of Neutrosophic Science

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International Journal of Neutrosophic Science

Volume 23 , Issue 3 , PP: 77-86, 2024 | Cite this article as | XML | Html | PDF | Full Length Article

Innovative Perspective on Neutrosophic Cubic Z-Algebras

G. Nisha Devi 1 * , P. Hemavathi 2 , R. Vinodkumar 3 , P. Muralikrishna 4 , Aiyared Iampan 5

  • 1 Department of Mathematics, Saveetha School of Engineering, Saveetha Institute of Medical and Technical Sciences (SIMATS), Chennai-602105, India - (nishadevig9005.sse@saveetha.com)
  • 2 Department of Mathematics, Saveetha School of Engineering, Saveetha Institute of Medical and Technical Sciences (SIMATS), Chennai-602105, India - (hemavathip.sse@saveetha.com)
  • 3 Department of Mathematics, Prathyusha Engineering College (Autonomous), Thiruvallur-602025, India - (vinodmaths85@gmail.com)
  • 4 Department of Mathematics, Muthurangam Government Arts College, Vellore-632002, India - (pmkrishna@rocketmail.com)
  • 5 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.230307

    Received: August 25, 2023 Revised: November 28, 2023 Accepted: January 24, 2024
    Abstract

    This study explores an innovative perspective on neutrosophic cubic Z-algebras, delving into the theoretical framework within mathematical structures. Through a comprehensive analysis, we uncover unique insights that contribute to the advancement of algebraic methodologies, particularly in handling uncertainties represented by neutrosophic elements. This work aims to present the idea of neutrosophic cubic sets in Z-algebras, as well as the usage of false membership function, truth, and indeterminacy in Z-algebras. Further, the results on -union, -intersection, -union, and -intersection of neutrosophic cubic Z-subalgebras are provided. This paper also discusses homomorphisms of Z-algebras and its associated characteristics.

    Keywords :

    Z-algebra , Z-subalgebra , Cubic set , Cubic Z-subalgebra , Neutrosophic set , Neutrosophic cubic set , Neutrosophic cubic Z-subalgebra.

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    Cite This Article As :
    Nisha, G.. , Hemavathi, P.. , Vinodkumar, R.. , Muralikrishna, P.. , Iampan, Aiyared. Innovative Perspective on Neutrosophic Cubic Z-Algebras. International Journal of Neutrosophic Science, vol. , no. , 2024, pp. 77-86. DOI: https://doi.org/10.54216/IJNS.230307
    Nisha, G. Hemavathi, P. Vinodkumar, R. Muralikrishna, P. Iampan, A. (2024). Innovative Perspective on Neutrosophic Cubic Z-Algebras. International Journal of Neutrosophic Science, (), 77-86. DOI: https://doi.org/10.54216/IJNS.230307
    Nisha, G.. Hemavathi, P.. Vinodkumar, R.. Muralikrishna, P.. Iampan, Aiyared. Innovative Perspective on Neutrosophic Cubic Z-Algebras. International Journal of Neutrosophic Science , no. (2024): 77-86. DOI: https://doi.org/10.54216/IJNS.230307
    Nisha, G. , Hemavathi, P. , Vinodkumar, R. , Muralikrishna, P. , Iampan, A. (2024) . Innovative Perspective on Neutrosophic Cubic Z-Algebras. International Journal of Neutrosophic Science , () , 77-86 . DOI: https://doi.org/10.54216/IJNS.230307
    Nisha G. , Hemavathi P. , Vinodkumar R. , Muralikrishna P. , Iampan A. [2024]. Innovative Perspective on Neutrosophic Cubic Z-Algebras. International Journal of Neutrosophic Science. (): 77-86. DOI: https://doi.org/10.54216/IJNS.230307
    Nisha, G. Hemavathi, P. Vinodkumar, R. Muralikrishna, P. Iampan, A. "Innovative Perspective on Neutrosophic Cubic Z-Algebras," International Journal of Neutrosophic Science, vol. , no. , pp. 77-86, 2024. DOI: https://doi.org/10.54216/IJNS.230307

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