1
Deanship of the Preparatory Year, Prince Sattam bin Abdulaziz University, Alkharj, Saudi Arabia
(a.alfahal@psau.edu.sa)
2
Tishreen University, Department Of Mathematics, Latakia, Syria
(mohammadabobala777@gmail.com)
3
Deanship of the Preparatory Year, Prince Sattam bin Abdulaziz University, Alkharj, Saudi Arabia
(y.alhasan@psau.edu.sa)
4
Deanship of the Preparatory Year, Prince Sattam bin Abdulaziz University, Alkharj, Saudi Arabia
(r.abdulfatah@psau.edu.sa)
Abstract :
In this paper, we find necessary and sufficient conditions for a weak fuzzy complex integer triple (X,Y, Z) to be a pythagoras triple, and for an anti-weak fuzzy complex integer triple to be a Pythagoras triple (X,Y, Z), where we prove that the non-linear Fermat's Diophantine equation has three different types of solutions according to the value of . All types will be solved and discussed in terms of theorems and examples that explains how the algorithms work
Keywords :
weak fuzzy complex integer; anti-weak fuzzy complex integer; Pythagoras triple; Pythagoras Diophantine equation.
References :
[1] Hatip, A., "An Introduction To Weak Fuzzy Complex Numbers ", Galoitica Journal Of Mathematical Structures and Applications, Vol.3, 2023.
[2] Ahmad, K., " On Some Split-Complex Diophantine Equations", Neoma Journal Of Mathematics and Computer Science, 2023.
[3] Khaldi, A., " A Study On Split-Complex Vector Spaces", Neoma Journal Of Mathematics and Computer Science, 2023.
[4] 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.
[5] Merkepci, M., and Abobala, M., " Security Model for Encrypting Uncertain Rational Data Units Based on Refined Neutrosophic Integers Fusion and El Gamal Algorithm ", Fusion: Practice and Applications, 2023.
[6] Ali, R., " On The Weak Fuzzy Complex Inner Products On Weak Fuzzy Complex Vector Spaces", Neoma Journal Of Mathematics and Computer Science, 2023.
[7] Hatip, A., "On The Weak Fuzzy Complex Vector Spaces", Galoitica Journal Of Mathematical
Structures And Applications, Vol.3, 2023.
[8] Merkepci, M., Abobala, M., and Allouf, A., " The Applications of Fusion Neutrosophic Number Theory in Public Key Cryptography and the Improvement of RSA Algorithm ", Fusion: Practice and Applications, 2023.
[9] Abobala, M., and Allouf, A., " On A Novel Security Scheme for The Encryption and Decryption Of 2×2 Fuzzy Matrices with Rational Entries Based on The Algebra of Neutrosophic Integers and El-Gamal Crypto-System", Neutrosophic Sets and Systems, vol.54, 2023.
[10] Ben Othman, K., Von Shtawzen, O., Khaldi, A., and Ali, R., "On The Concept Of Symbolic 7-Plithogenic Real Matrices", Pure Mathematics For Theoretical Computer Science, Vol.1, 2023.
[11] Ibrahim, M., and Abobala, M., "An Introduction To Refined Neutrosophic Number Theory", Neutrosophic Sets and Systems, Vol. 45, 2021.
[12] Sankari, H., and Abobala, M., "Neutrosophic Linear Diophantine Equations With two Variables", Neutrosophic Sets and Systems, Vol. 38, pp. 22-30, 2020.
| Style | # |
|---|---|
| MLA | Abuobida M. A. Alfahal, Mohammad Abobala, Yaser Ahmad Alhasan, Raja Abdullah Abdulfatah. "Generating Weak Fuzzy Complex and Anti Weak Fuzzy Complex Integer Solutions for Pythagoras Diophantine Equation πΏπ + ππ = ππ." International Journal of Neutrosophic Science, Vol. 22, No. 2, 2023 ,PP. 08-14 (Doi : https://doi.org/10.54216/IJNS.220201) |
| APA | Abuobida M. A. Alfahal, Mohammad Abobala, Yaser Ahmad Alhasan, Raja Abdullah Abdulfatah. (2023). Generating Weak Fuzzy Complex and Anti Weak Fuzzy Complex Integer Solutions for Pythagoras Diophantine Equation πΏπ + ππ = ππ. Journal of International Journal of Neutrosophic Science, 22 ( 2 ), 08-14 (Doi : https://doi.org/10.54216/IJNS.220201) |
| Chicago | Abuobida M. A. Alfahal, Mohammad Abobala, Yaser Ahmad Alhasan, Raja Abdullah Abdulfatah. "Generating Weak Fuzzy Complex and Anti Weak Fuzzy Complex Integer Solutions for Pythagoras Diophantine Equation πΏπ + ππ = ππ." Journal of International Journal of Neutrosophic Science, 22 no. 2 (2023): 08-14 (Doi : https://doi.org/10.54216/IJNS.220201) |
| Harvard | Abuobida M. A. Alfahal, Mohammad Abobala, Yaser Ahmad Alhasan, Raja Abdullah Abdulfatah. (2023). Generating Weak Fuzzy Complex and Anti Weak Fuzzy Complex Integer Solutions for Pythagoras Diophantine Equation πΏπ + ππ = ππ. Journal of International Journal of Neutrosophic Science, 22 ( 2 ), 08-14 (Doi : https://doi.org/10.54216/IJNS.220201) |
| Vancouver | Abuobida M. A. Alfahal, Mohammad Abobala, Yaser Ahmad Alhasan, Raja Abdullah Abdulfatah. Generating Weak Fuzzy Complex and Anti Weak Fuzzy Complex Integer Solutions for Pythagoras Diophantine Equation πΏπ + ππ = ππ. Journal of International Journal of Neutrosophic Science, (2023); 22 ( 2 ): 08-14 (Doi : https://doi.org/10.54216/IJNS.220201) |
| IEEE | Abuobida M. A. Alfahal, Mohammad Abobala, Yaser Ahmad Alhasan, Raja Abdullah Abdulfatah, Generating Weak Fuzzy Complex and Anti Weak Fuzzy Complex Integer Solutions for Pythagoras Diophantine Equation πΏπ + ππ = ππ, Journal of International Journal of Neutrosophic Science, Vol. 22 , No. 2 , (2023) : 08-14 (Doi : https://doi.org/10.54216/IJNS.220201) |