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International Journal of Neutrosophic Science

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International Journal of Neutrosophic Science

Volume 23 , Issue 4 , PP: 369-375, 2024 | Cite this article as | XML | Html | PDF | Full Length Article

On the Geometry of Weak Fuzzy Complex Numbers and Applications to the Classification of Some A-Curves

Abdallah Shihadeh 1 , Wael Mahmoud M. Salameh 2 * , Malik Bataineh 3 , Hassan Al-Tarawneh 4 , Ayman Alahmade 5 , Abdallah Al-Husban 6

  • 1 Department of Mathematics, Faculty of Science, The Hashemite University, Zarqa 13133, PO box 330127, Jordan - (abdallaha_ka@hu.edu.jo)
  • 2 Faculty of Information Technology, Abu Dhabi University, Abu Dhabi, UAE - (wael.salameh@adu.ac.ae)
  • 3 Department of Mathematics and Statistics, Jordan University of Science and Technology, Irbid, Jordan - (msbataineh@just.edu.jo)
  • 4 Department of Data sciences and Artificial Intelligence, Al-Ahliyya Amman University, Amman, Jordan - (H.Altarawneh@Ammanu.edu.jo)
  • 5 Department of Mathematics, College of Science and Art, AlUla branch, Taibah University,Medina, Saudi Arabia - (aaahmdi@taibahu.edu.sa)
  • 6 Department of Mathematics, Faculty of Science and Technology, Irbid National University, P.O. Box: 2600 Irbid, Jordan - (dralhosban@inu.edu.jo)

    • Doi: https://doi.org/10.54216/IJNS.230428

    Received: June 19, 2023 Revised: January 17, 2024 Accepted: March 12, 2024
    Abstract

    The concept of A-curves is considered as a novel application of real field extensions in solving some algebraic vectorial equations defined by Euclidean norms. In this paper, we present a novel insight through the classification of A-curves by illustrating many new semi-module isomorphisms between the direct product of weak fuzzy complex numbers with itself and the direct product of classical Euclidean vector spaces multiplied by itself. These isomorphisms will give us a full classification of A-curves that are related to weak fuzzy complex ring. Also, we provide many examples to explain the contribution of our work.

    Keywords :

    weak fuzzy complex number , weak fuzzy complex vector space , A-curve , vectorial equation.

    References

    [1]    Deckelman, S., Robson, B. Split-Complex Numbers and Dirac Bra-kets., Communications In Information and Systems,14, (2014), 135-159.

    [2]    Akar, M., Yuce, S., Sahin, S., On the Dual Hyperbolic Numbers and The Complex Hyperbolic Numbers, JCSCM, 8, (2018), DOI: 10.20967/jcscm.2018.01.001.

    [3]    Hatip, A., An Introduction To Weak Fuzzy Complex Numbers, Galoitica Journal Of Mathematical Structures and Applications, 3, (2023).

    [4]    Ali, R., On The Weak Fuzzy Complex Inner Products On Weak Fuzzy Complex Vector Spaces, Neoma Journal Of Mathematics and Computer Science, (2023).

    [5]     Hatip, A., On The Weak Fuzzy Complex Vector Spaces, Galoitica Journal Of Mathematical Structures And Applications, 3, (2023).

    [6]     Ali, R., A Short Note On The Solution of n-Refined Neutrosophic Linear Diophantine Equations, International Journal Of Neutrosophic Science, 15, (2021).

    [7]    Alhasan,Y., Alfahal, A., Abdulfatah, R., Nordo, G.& Zahra, M., On Some Novel Results About Weak Fuzzy Complex Matrices. International Journal of Neutrosophic Science, 21, (2023), 134-140. https://doi.org/10.54216/IJNS.210112

    [8]     Ahmad, K., Bal, M., and Aswad, M.,  A Short Note On The Solutions Of Fermat's Diophantine Equation In Some Neutrosophic Rings, Journal Of Neutrosophic and Fuzzy Systems, (2022).

    [9]     Abobala, M., Partial Foundation of Neutrosophic Number Theory, Neutrosophic Sets and Systems, 39 , (2021).

    [10] Alfahal, A., Abobala, M., Alhasan, Y., and Abdulfatah, R., Generating Weak Fuzzy Complex and Anti Weak Fuzzy Complex Integer Solutions for Pythagoras Diophantine Equation X2+Y2=Z2, International Journal of Neutrosophic Science, 22, (2023).

    [11] Alhasan, Y., Xu, L., Abdulfatah, R., & Alfahal, A., The Geometrical Characterization for The Solutions of a Vectorial Equation By Using Weak Fuzzy Complex Numbers and Other Generalizations Of Real Numbers. International Journal of Neutrosophic Science (IJNS), 21, (2023), 155-159. https://doi.org/10.54216/IJNS.210415

    [12]  Galarza, F., Flores, M., Rivero, D., & Abobala, M., On Weak Fuzzy Complex Pythagoras Quadruples. International Journal of Neutrosophic Science (IJNS), 22, (2023), 108-113. https://doi.org/10.54216/IJNS.220209 .

    [13] Razouk,L., Mahmoud, S., & Ali, M., A Computer Program For The System Of Weak Fuzzy Complex Numbers And Their Arithmetic Operations Using Python. Galoitica: Journal Of Mathematical Structures and Applications, 8, (2023), 45-51. https://doi.org/10.54216/GJMSA.080104.

    [14] Merkepci, M., and Abobala, M., " On Some Novel Results About Split-Complex Numbers, The Diagonalization Problem And Applications To Public Key Asymmetric Cryptography", Journal of Mathematics, Hindawi, 2023.

    [15] Abobala, M., Bal, M., Aswad, M., "A Short Note On Some Novel Applications of Semi Module Homomorphisms", International journal of neutrosophic science, 2022.

    [16] Abobala, M., " Semi Homomorphisms and Algebraic Relations Between Strong Refined Neutrosophic Modules and Strong Neutrosophic Modules", Neutrosophic Sets and Systems, 2021.

    [17] Murtada Ali Maqdisi. (2023). The Decay of The Solutions of a Nonlinear Viscoelastic Hyperbolic Equation. Pure Mathematics for Theoretical Computer Science, 1 ( 1 ), 47-55 (Doi   :  https://doi.org/10.54216/PMTCS.010104)

    Cite This Article As :
    Shihadeh, Abdallah. , Mahmoud, Wael. , Bataineh, Malik. , Al-Tarawneh, Hassan. , Alahmade, Ayman. , Al-Husban, Abdallah. On the Geometry of Weak Fuzzy Complex Numbers and Applications to the Classification of Some A-Curves. International Journal of Neutrosophic Science, vol. , no. , 2024, pp. 369-375. DOI: https://doi.org/10.54216/IJNS.230428
    Shihadeh, A. Mahmoud, W. Bataineh, M. Al-Tarawneh, H. Alahmade, A. Al-Husban, A. (2024). On the Geometry of Weak Fuzzy Complex Numbers and Applications to the Classification of Some A-Curves. International Journal of Neutrosophic Science, (), 369-375. DOI: https://doi.org/10.54216/IJNS.230428
    Shihadeh, Abdallah. Mahmoud, Wael. Bataineh, Malik. Al-Tarawneh, Hassan. Alahmade, Ayman. Al-Husban, Abdallah. On the Geometry of Weak Fuzzy Complex Numbers and Applications to the Classification of Some A-Curves. International Journal of Neutrosophic Science , no. (2024): 369-375. DOI: https://doi.org/10.54216/IJNS.230428
    Shihadeh, A. , Mahmoud, W. , Bataineh, M. , Al-Tarawneh, H. , Alahmade, A. , Al-Husban, A. (2024) . On the Geometry of Weak Fuzzy Complex Numbers and Applications to the Classification of Some A-Curves. International Journal of Neutrosophic Science , () , 369-375 . DOI: https://doi.org/10.54216/IJNS.230428
    Shihadeh A. , Mahmoud W. , Bataineh M. , Al-Tarawneh H. , Alahmade A. , Al-Husban A. [2024]. On the Geometry of Weak Fuzzy Complex Numbers and Applications to the Classification of Some A-Curves. International Journal of Neutrosophic Science. (): 369-375. DOI: https://doi.org/10.54216/IJNS.230428
    Shihadeh, A. Mahmoud, W. Bataineh, M. Al-Tarawneh, H. Alahmade, A. Al-Husban, A. "On the Geometry of Weak Fuzzy Complex Numbers and Applications to the Classification of Some A-Curves," International Journal of Neutrosophic Science, vol. , no. , pp. 369-375, 2024. DOI: https://doi.org/10.54216/IJNS.230428

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