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International Journal of Neutrosophic Science
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Title

The Geometrical Characterization for The Solutions of a Vectorial Equation By Using Weak Fuzzy Complex Numbers and Other Generalizations Of Real Numbers

  Yaser Ahmad Alhasan 1 * ,   Lee Xu 2 ,   Raja Abdullah Abdulfatah 3 ,   Abuobida M. Ahmed Alfahal 4

1  Deanship of the Preparatory Year, Prince Sattam bin Abdulaziz University, Alkharj, Saudi Arabia
    (y.alhasan@psau.edu.sa)

2  University of Chinese Academy of Sciences, CAS, Mathematics Department, Beijing, China
    (Leexu1244@yahoo.com)

3  Deanship the Preparatory Year, Prince Sattam bin Abdulaziz University, Alkharj, Saudi Arabia
    (r.abdulfatah@psau.edu.sa)

4  Deanship of the Preparatory Year, Prince Sattam bin Abdulaziz University, Alkharj, Saudi Arabia
    (a.alfahal@psau.edu.sa.)


Doi   :   https://doi.org/10.54216/IJNS.210415

Received: February 16, 2023 Revised: May 18, 2023 Accepted: August 02, 2023

Abstract :

The main goal of this paper is to study the geometrical characterization of the solutions for a vectorial equation defined in the two/three dimensional Euclidean spaces. The geometrical characterization of the solutions for the desired vectorial equation is obtained for many different values of t based on the circles and spheres in some generalizations of the real field, especially dual numbers, weak fuzzy complex numbers split-complex numbers, and complex numbers.

Keywords :

A-curve; dual numbers; weak fuzzy complex numbers; split-complex numbers

References :

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

[5] Khaldi, A., " A Study On Split-Complex Vector Spaces", Neoma Journal Of Mathematics and Computer Science, 2023.

[6] Merkepci, H., and Abobala, M., " On The Symbolic 2-Plithogenic Rings", International Journal of Neutrosophic Science, 2023.

[7] Ahmad, K., " On Some Split-Complex Diophantine Equations", Neoma Journal Of Mathematics and Computer Science, 2023.

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[9] 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.

[10] Albasheer, O., Hajjari., A., and Dalla., R., " On The Symbolic 3-Plithogenic Rings and TheirAlgebraic Properties", Neutrosophic Sets and Systems, Vol 54, 2023.

[11] Abobala, M., On Refined Neutrosophic Matrices and Their Applications In Refined Neutrosophic Algebraic Equations, Journal Of Mathematics, Hindawi, 2021

[12] Sarkis, M., "On The Solutions Of Fermat's Diophantine Equation In 3-refined Neutrosophic Ring of Integers", Neoma Journal of Mathematics and Computer Science, 2023.

[13] Abobala, M., "On Some Algebraic Properties of n-Refined Neutrosophic Elements and n-Refined Neutrosophic Linear Equations", Mathematical Problems in Engineering, Hindawi, 2021

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[15] Ali, R., and Hasan, Z., " An Introduction To The Symbolic 3-Plithogenic Modules ", Galoitica Journal Of Mathematical Structures and Applications, vol. 6, 2023.

[16] Ali, R., and Hasan, Z., "An Introduction To The Symbolic 3-Plithogenic Vector Spaces", Galoitica Journal Of Mathematical Structures and Applications, vol. 6, 2023.

[17] Abobala, M., "On The Characterization of Maximal and Minimal Ideals In Several Neutrosophic Rings", Neutrosophic sets and systems, Vol. 45, 2021.


Cite this Article as :
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MLA Yaser Ahmad Alhasan, Lee Xu, Raja Abdullah Abdulfatah, Abuobida M. Ahmed Alfahal. "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, Vol. 21, No. 4, 2023 ,PP. 155-159 (Doi   :  https://doi.org/10.54216/IJNS.210415)
APA Yaser Ahmad Alhasan, Lee Xu, Raja Abdullah Abdulfatah, Abuobida M. Ahmed Alfahal. (2023). The Geometrical Characterization for The Solutions of a Vectorial Equation By Using Weak Fuzzy Complex Numbers and Other Generalizations Of Real Numbers. Journal of International Journal of Neutrosophic Science, 21 ( 4 ), 155-159 (Doi   :  https://doi.org/10.54216/IJNS.210415)
Chicago Yaser Ahmad Alhasan, Lee Xu, Raja Abdullah Abdulfatah, Abuobida M. Ahmed Alfahal. "The Geometrical Characterization for The Solutions of a Vectorial Equation By Using Weak Fuzzy Complex Numbers and Other Generalizations Of Real Numbers." Journal of International Journal of Neutrosophic Science, 21 no. 4 (2023): 155-159 (Doi   :  https://doi.org/10.54216/IJNS.210415)
Harvard Yaser Ahmad Alhasan, Lee Xu, Raja Abdullah Abdulfatah, Abuobida M. Ahmed Alfahal. (2023). The Geometrical Characterization for The Solutions of a Vectorial Equation By Using Weak Fuzzy Complex Numbers and Other Generalizations Of Real Numbers. Journal of International Journal of Neutrosophic Science, 21 ( 4 ), 155-159 (Doi   :  https://doi.org/10.54216/IJNS.210415)
Vancouver Yaser Ahmad Alhasan, Lee Xu, Raja Abdullah Abdulfatah, Abuobida M. Ahmed Alfahal. The Geometrical Characterization for The Solutions of a Vectorial Equation By Using Weak Fuzzy Complex Numbers and Other Generalizations Of Real Numbers. Journal of International Journal of Neutrosophic Science, (2023); 21 ( 4 ): 155-159 (Doi   :  https://doi.org/10.54216/IJNS.210415)
IEEE Yaser Ahmad Alhasan, Lee Xu, Raja Abdullah Abdulfatah, Abuobida M. Ahmed Alfahal, The Geometrical Characterization for The Solutions of a Vectorial Equation By Using Weak Fuzzy Complex Numbers and Other Generalizations Of Real Numbers, Journal of International Journal of Neutrosophic Science, Vol. 21 , No. 4 , (2023) : 155-159 (Doi   :  https://doi.org/10.54216/IJNS.210415)