aspg-21-2619-1791465340 20261008131540 American Scientific Publishing Group admin@americaspg.com American Scientific Publishing Group International Journal of Neutrosophic Science IJNS 2692-6148 2690-6805 2024 23 4 Hazim M. Wali Al-Tameemi The Osol Aldeen Private University College, Iraq The main goal of this work is to define for the first time the concept of the metric space of weak fuzzy complex numbers, where we present a suitable metric defined over the ring of weak fuzzy complex numbers, and we study the open balls, closed balls, and torus generated from its structure. On the other hand, we study the symbolic 2-plithogenic and 3-plithogenic/4-plithogenic metric space and its ability to be generated from classical metrics, with many interesting properties related to its analytical structure. Also, many examples will be illustrated to clarify and explain the novelty of this work. 2024 395 404 2619 https://creativecommons.org/licenses/by/4.0/ 10.54216/IJNS.230432 https://www.americaspg.com/journal/21/article/2619 https://www.americaspg.com/storage/81749392734.pdf