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

Abdallah; Wael Mahmoud M.; Malik; Hassan; Ayman; Abdallah

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

Full Length Article

Volume 23 • Issue 4 • PP: 369-375 • 2024

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

Abdallah Shihadeh ^1*

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,

Wael Mahmoud M. Salameh ²

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,

Malik Bataineh ³

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,

Hassan Al-Tarawneh ⁴

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,

Ayman Alahmade ⁵

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,

Abdallah Al-Husban ⁶

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¹Department of Mathematics, Faculty of Science, The Hashemite University, Zarqa 13133, PO box 330127, Jordan

²Faculty of Information Technology, Abu Dhabi University, Abu Dhabi, UAE

³Department of Mathematics and Statistics, Jordan University of Science and Technology, Irbid, Jordan

⁴Department of Data sciences and Artificial Intelligence, Al-Ahliyya Amman University, Amman, Jordan

⁵Department of Mathematics, College of Science and Art, AlUla branch, Taibah University,Medina, Saudi Arabia

⁶Department of Mathematics, Faculty of Science and Technology, Irbid National University, P.O. Box: 2600 Irbid, Jordan

* Corresponding Author.

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

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

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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.

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Shihadeh, Abdallah, Salameh, Wael Mahmoud M., Bataineh, Malik, Al-Tarawneh, Hassan, Alahmade, Ayman, Al-Husban, Abdallah. "On the Geometry of Weak Fuzzy Complex Numbers and Applications to the Classification of Some A-Curves." International Journal of Neutrosophic Science, vol. Volume 23, no. Issue 4, 2024, pp. 369-375. DOI: https://doi.org/10.54216/IJNS.230428

Shihadeh, A., Salameh, W., Bataineh, M., Al-Tarawneh, H., Alahmade, A., Al-Husban, A. (2024). On the Geometry of Weak Fuzzy Complex Numbers and Applications to the Classification of Some A-Curves. International Journal of Neutrosophic Science, Volume 23(Issue 4), 369-375. DOI: https://doi.org/10.54216/IJNS.230428

Shihadeh, Abdallah, Salameh, Wael Mahmoud M., Bataineh, Malik, Al-Tarawneh, Hassan, Alahmade, Ayman, Al-Husban, Abdallah. "On the Geometry of Weak Fuzzy Complex Numbers and Applications to the Classification of Some A-Curves." International Journal of Neutrosophic Science Volume 23, no. Issue 4 (2024): 369-375. DOI: https://doi.org/10.54216/IJNS.230428

Shihadeh, A., Salameh, W., Bataineh, M., Al-Tarawneh, H., Alahmade, A., Al-Husban, A. (2024) 'On the Geometry of Weak Fuzzy Complex Numbers and Applications to the Classification of Some A-Curves', International Journal of Neutrosophic Science, Volume 23(Issue 4), pp. 369-375. DOI: https://doi.org/10.54216/IJNS.230428

Shihadeh A, Salameh W, Bataineh M, Al-Tarawneh H, Alahmade A, Al-Husban A. On the Geometry of Weak Fuzzy Complex Numbers and Applications to the Classification of Some A-Curves. International Journal of Neutrosophic Science. 2024;Volume 23(Issue 4):369-375. DOI: https://doi.org/10.54216/IJNS.230428

A. Shihadeh, W. Salameh, M. Bataineh, H. Al-Tarawneh, A. Alahmade, A. 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. Volume 23, no. Issue 4, pp. 369-375, 2024. DOI: https://doi.org/10.54216/IJNS.230428

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