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

Yaser Ahmad; Lee; Raja Abdullah; Abuobida M. Ahmed

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

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*

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,

Lee Xu ²

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,

Raja Abdullah Abdulfatah ³

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,

Abuobida M. Ahmed Alfahal ¹

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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

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Received: June 02, 2023 Revised: July 08, 2023 Accepted: August 02, 2023

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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

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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

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