ASPG Menu
search

American Scientific Publishing Group

verified Journal

International Journal of Neutrosophic Science

ISSN
Online: 2690-6805 Print: 2692-6148
Frequency

Continuous publication

Publication Model

Open access journal. All articles are freely available online with no APC.

Submit Manuscript send
International Journal of Neutrosophic Science
Full Length Article

Volume 21 • Issue 4 • PP: 155-159 • 2023

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*
mail
,
Lee Xu 2
mail
,
Raja Abdullah Abdulfatah 3
mail
,
Abuobida M. Ahmed Alfahal 1
mail
1Deanship of the Preparatory Year, Prince Sattam bin Abdulaziz University, Alkharj, Saudi Arabia
2University of Chinese Academy of Sciences, CAS, Mathematics Department, Beijing, China
3Deanship the Preparatory Year, Prince Sattam bin Abdulaziz University, Alkharj, Saudi Arabia
* Corresponding Author.
DOI https://doi.org/10.54216/IJNS.210415
format_quote Cite this article
verified

Open Access & Copyright

© 2023 The Author(s). Published by ASPG. This article is licensed under the Creative Commons Attribution 4.0 International License (CC BY 4.0).

Received: June 02, 2023 Revised: July 08, 2023 Accepted: August 02, 2023
PDF Icon View PDF open_in_new

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

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

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

[3] Smarandache, F., "Neutrosophic Set a Generalization of the Intuitionistic Fuzzy Sets", Inter. J. Pure Appl. Math., pp. 287-297. 2005.

[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.

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

[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

[14] Abobala, M., "A Study Of Nil Ideals and Kothe's Conjecture In Neutrosophic Rings", International Journal of Mathematics and Mathematical Sciences, hindawi, 2021.

[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

Choose your preferred format

format_quote
Alhasan, Yaser Ahmad, Xu, Lee, Abdulfatah, Raja Abdullah, Alfahal, Abuobida M. Ahmed. "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. Volume 21, no. Issue 4, 2023, pp. 155-159. DOI: https://doi.org/10.54216/IJNS.210415
Alhasan, Y., Xu, L., Abdulfatah, R., Alfahal, A. (2023). 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, Volume 21(Issue 4), 155-159. DOI: https://doi.org/10.54216/IJNS.210415
Alhasan, Yaser Ahmad, Xu, Lee, Abdulfatah, Raja Abdullah, Alfahal, Abuobida M. Ahmed. "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 Volume 21, no. Issue 4 (2023): 155-159. DOI: https://doi.org/10.54216/IJNS.210415
Alhasan, Y., Xu, L., Abdulfatah, R., Alfahal, A. (2023) '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, Volume 21(Issue 4), pp. 155-159. DOI: https://doi.org/10.54216/IJNS.210415
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. 2023;Volume 21(Issue 4):155-159. DOI: https://doi.org/10.54216/IJNS.210415
Y. Alhasan, L. Xu, R. Abdulfatah, A. 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. Volume 21, no. Issue 4, pp. 155-159, 2023. DOI: https://doi.org/10.54216/IJNS.210415
policy

Publisher's Note

The statements, opinions, and data presented in this article are solely those of the author(s) and do not necessarily represent those of ASPG, the journal, or its editors. ASPG and the editors disclaim responsibility for any harm arising from the use of any ideas, methods, instructions, or products described in this article, to the fullest extent permitted by applicable law.

Digital Archive Ready