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International Journal of Neutrosophic Science
Volume 23 , Issue 4, PP: 369-375 , 2024 | Cite this article as | XML | Html |PDF

Title

On the Geometry of Weak Fuzzy Complex Numbers and Applications to the Classification of Some A-Curves

  Abdallah Shihadeh 1 ,   Wael Mahmoud M. Salameh 2 * ,   Malik Bataineh 3 ,   Hassan Al-Tarawneh 4 ,   Ayman Alahmade 5 ,   Abdallah Al-Husban 6

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)

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Doi   :   https://doi.org/10.54216/IJNS.230428

Received: June 19, 2023 Revised: January 17, 2024 Accepted: March 12, 2024

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 :

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Cite this Article as :
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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)
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