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)
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)
Style | # |
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MLA | Abdallah Shihadeh, Wael Mahmoud M. Salameh, Malik Bataineh, Hassan Al-Tarawneh, Ayman Alahmade, Abdallah Al-Husban. "On the Geometry of Weak Fuzzy Complex Numbers and Applications to the Classification of Some A-Curves." International Journal of Neutrosophic Science, Vol. 23, No. 4, 2024 ,PP. 369-375 (Doi : https://doi.org/10.54216/IJNS.230428) |
APA | Abdallah Shihadeh, Wael Mahmoud M. Salameh, Malik Bataineh, Hassan Al-Tarawneh, Ayman Alahmade, Abdallah Al-Husban. (2024). On the Geometry of Weak Fuzzy Complex Numbers and Applications to the Classification of Some A-Curves. Journal of International Journal of Neutrosophic Science, 23 ( 4 ), 369-375 (Doi : https://doi.org/10.54216/IJNS.230428) |
Chicago | Abdallah Shihadeh, Wael Mahmoud M. Salameh, Malik Bataineh, Hassan Al-Tarawneh, Ayman Alahmade, Abdallah Al-Husban. "On the Geometry of Weak Fuzzy Complex Numbers and Applications to the Classification of Some A-Curves." Journal of International Journal of Neutrosophic Science, 23 no. 4 (2024): 369-375 (Doi : https://doi.org/10.54216/IJNS.230428) |
Harvard | Abdallah Shihadeh, Wael Mahmoud M. Salameh, Malik Bataineh, Hassan Al-Tarawneh, Ayman Alahmade, Abdallah Al-Husban. (2024). On the Geometry of Weak Fuzzy Complex Numbers and Applications to the Classification of Some A-Curves. Journal of International Journal of Neutrosophic Science, 23 ( 4 ), 369-375 (Doi : https://doi.org/10.54216/IJNS.230428) |
Vancouver | Abdallah Shihadeh, Wael Mahmoud M. Salameh, Malik Bataineh, Hassan Al-Tarawneh, Ayman Alahmade, Abdallah Al-Husban. On the Geometry of Weak Fuzzy Complex Numbers and Applications to the Classification of Some A-Curves. Journal of International Journal of Neutrosophic Science, (2024); 23 ( 4 ): 369-375 (Doi : https://doi.org/10.54216/IJNS.230428) |
IEEE | Abdallah Shihadeh, Wael Mahmoud M. Salameh, Malik Bataineh, Hassan Al-Tarawneh, Ayman Alahmade, Abdallah Al-Husban, On the Geometry of Weak Fuzzy Complex Numbers and Applications to the Classification of Some A-Curves, Journal of International Journal of Neutrosophic Science, Vol. 23 , No. 4 , (2024) : 369-375 (Doi : https://doi.org/10.54216/IJNS.230428) |