Journal of Neutrosophic and Fuzzy Systems

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https://doi.org/10.54216/JNFS

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Volume 8 , Issue 2 , PP: 15-22, 2024 | Cite this article as | XML | Html | PDF | Full Length Article

On Some Novel Results About Weak Fuzzy Complex Integers

Mohammad Abobala 1 *

  • 1 Department of Mathematics, Tishreen University, Latakia, Syria - (Mohammadabobala777@gmail.com)
  • Doi: https://doi.org/10.54216/JNFS.080202

    Received: November 27, 2023 Revised: January 09, 2024 Accepted: April 22, 2024
    Abstract

    This paper is dedicated to studying for the first time the concept of weak fuzzy complex integers division and units, where we present a full classification of weak fuzzy complex integer units with necessary and sufficient conditions for division in the set of weak fuzzy complex integers. On the other hand, we provide an algorithm for solving weak fuzzy complex linear congruencies with many related examples that explain how algorithms work.

    Keywords :

    weak fuzzy complex integer , weak fuzzy complex unit , weak fuzzy complex congruence.

    References

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

    [3] Yaser Ahmad Alhasan, Abuobida Mohammed A. Alfahal, Raja Abdullah Abdulfatah Giorgio Nordo, Musaddak M. Abdul Zahra, "On Some Novel Results About Weak Fuzzy Complex Matrices” ,DOI: https://doi.org/10.54216/IJNS.210112 , 2023.

    [4] 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, Doi: https://doi.org/10.54216/GJMSA.080104 , Vol. 08, No. 01, PP. 45-51, 2023.

    [5] Alfahal, A., Abobala, M., Alhasan, Y., & Abdulfatah, R. (2023). Generating Weak Fuzzy Complex and Anti Weak Fuzzy Complex Integer Solutions for Pythagoras Diophantine Equation X2 +Y2 = Z2. International Journal of Neutrosophic Science (IJNS), Vol. 22, No. 01, PP. 08-14. https://doi.org/10.54216/IJNS.220201

    [6] Galarza, F., Flores, M., Rivero, D., & Abobala, M. (2023). On Weak Fuzzy Complex Pythagoras Quadruples. International Journal of Neutrosophic Science (IJNS), Vol. 22, No. 02, PP. 108-113. https://doi.org/10.54216/IJNS.220209

    [7] 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 (IJNS), Vol. 21, No. 04, PP. 155-159. https://doi.org/10.54216/IJNS.210415.

    [8] 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. International Journal of Neutrosophic Science, 23 ( 4 ), 369-375 (Doi : https://doi.org/10.54216/IJNS.230428).

    [9] Mayada Abualhomos, Wael Mahmoud M. Salameh, Malik Bataineh, Mowafaq Omar Al-Qadri, Ayman Alahmade, Abdallah Al-Husban. (2024). An Effective Algorithm for Solving Weak Fuzzy Complex Diophantine Equations in Two Variables. International Journal of Neutrosophic Science, 23 ( 4 ), 386-394 (Doi : https://doi.org/10.54216/IJNS.230431).

    [10] Abobala, M., Sankari, H., & Zeina, M. (2024). On novel security systems based on the 2-cyclic refined integers and the foundations of 2-cyclic refined number theory. Journal of Fuzzy Extension and Applications, 5(1), 69-85. doi: 10.22105/jfea.2024.423818.1321.

    [11] Ahmed Hatip. (2023). On The Fuzzy Weak Complex Vector Spaces. Galoitica: Journal of Mathematical Structures and Applications, 3 ( 1 ), 29-32 (Doi : https://doi.org/10.54216/GJMSA.030105).

     

    [12] 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.

    Cite This Article As :
    Abobala, Mohammad. On Some Novel Results About Weak Fuzzy Complex Integers. Journal of Neutrosophic and Fuzzy Systems, vol. , no. , 2024, pp. 15-22. DOI: https://doi.org/10.54216/JNFS.080202
    Abobala, M. (2024). On Some Novel Results About Weak Fuzzy Complex Integers. Journal of Neutrosophic and Fuzzy Systems, (), 15-22. DOI: https://doi.org/10.54216/JNFS.080202
    Abobala, Mohammad. On Some Novel Results About Weak Fuzzy Complex Integers. Journal of Neutrosophic and Fuzzy Systems , no. (2024): 15-22. DOI: https://doi.org/10.54216/JNFS.080202
    Abobala, M. (2024) . On Some Novel Results About Weak Fuzzy Complex Integers. Journal of Neutrosophic and Fuzzy Systems , () , 15-22 . DOI: https://doi.org/10.54216/JNFS.080202
    Abobala M. [2024]. On Some Novel Results About Weak Fuzzy Complex Integers. Journal of Neutrosophic and Fuzzy Systems. (): 15-22. DOI: https://doi.org/10.54216/JNFS.080202
    Abobala, M. "On Some Novel Results About Weak Fuzzy Complex Integers," Journal of Neutrosophic and Fuzzy Systems, vol. , no. , pp. 15-22, 2024. DOI: https://doi.org/10.54216/JNFS.080202