International Journal of Neutrosophic Science IJNS 2690-6805 2692-6148 10.54216/IJNS https://www.americaspg.com/journals/show/2616 2020 2020 Department of Mathematics, Faculty of Science, The Hashemite University, Zarqa 13133, PO box 330127, Jordan Wael Wael Faculty of Information Technology, Abu Dhabi University, Abu Dhabi, UAE Wael Mahmoud M. Salameh Department of Mathematics and Statistics, Jordan University of Science and Technology, Irbid, Jordan Malik Bataineh Department of Data sciences and Artificial Intelligence, Al-Ahliyya Amman University, Amman, Jordan Hassan Al Al-Tarawneh Department of Mathematics, College of Science and Art, AlUla branch, Taibah University,Medina, Saudi Arabia Ayman Alahmade Department of Mathematics, Faculty of Science and Technology, Irbid National University, P.O. Box: 2600 Irbid, Jordan Abdallah Al Al-Husban 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. 2024 2024 369 375 10.54216/IJNS.230428 https://www.americaspg.com/articleinfo/21/show/2616