aspg-21-2618-1791465340 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 Mayada Abualhomos Applied Science Private University Amman,11931, Jordan Wael Mahmoud M. Salameh Faculty of Information Technology, Abu Dhabi University, Abu Dhabi, UAE Malik Bataineh Department of Mathematics and Statistics, Jordan University of Science and Technology, Irbid, Mowafaq Omar Al-Qadri Department of Mathematics, Jerash University, Jerash 26150, Jordan Ayman Alahmade Department of Mathematics, College of Science and Art, AlUla branch, Taibah University, Medina, Saudi Arabia Abdallah Al-Husban Department of Mathematics, Faculty of Science and Technology, Irbid National University, P.O. Box: 2600 Irbid, Jordan Weak fuzzy complex numbers are defined as style='mso-bidi-font-style:normal'> font-family:"Cambria Math",serif;mso-bidi-font-family:"Times New Roman"; mso-bidi-theme-font:major-bidi'>a+bε , with style='mso-bidi-font-size:10.0pt;font-family:"Cambria Math",serif; mso-ascii-font-family:"Cambria Math";mso-hansi-font-family:"Cambria Math"; mso-bidi-font-family:"Times New Roman";mso-bidi-theme-font:major-bidi; font-style:italic;mso-bidi-font-style:normal'> style='mso-bidi-font-style:normal'> font-family:"Cambria Math",serif;mso-bidi-font-family:"Times New Roman"; mso-bidi-theme-font:major-bidi'>ε style='mso-bidi-font-style:normal'> font-family:"Cambria Math",serif;mso-bidi-font-family:"Times New Roman"; mso-bidi-theme-font:major-bidi'>2 style='mso-bidi-font-style:normal'> font-family:"Cambria Math",serif;mso-bidi-font-family:"Times New Roman"; mso-bidi-theme-font:major-bidi'>belongs to m:val="]"/> font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math"; mso-hansi-font-family:"Cambria Math";mso-bidi-font-family:"Times New Roman"; mso-bidi-theme-font:major-bidi;font-style:italic;mso-bidi-font-style:normal'> style='mso-bidi-font-style:normal'> font-family:"Cambria Math",serif;mso-bidi-font-family:"Times New Roman"; mso-bidi-theme-font:major-bidi'>0,1 as an extension of real numbers with style='mso-bidi-font-style:normal'> font-family:"Cambria Math",serif;mso-bidi-font-family:"Times New Roman"; mso-bidi-theme-font:major-bidi'>a,b∈R . This paper is dedicated to studying weak fuzzy complex linear Diophantine equations in two weak fuzzy complex variables, by transforming the weak fuzzy complex Diophantine equation to a classical equivalent Diophantine system and going directly from the solutions of classical system into the desired equation. Algorithms for generating solutions of the previous equation will be presented in terms of theorems with many related examples that clarify the validity of our work. 2024 386 394 2618 https://creativecommons.org/licenses/by/4.0/ 10.54216/IJNS.230431 https://www.americaspg.com/journal/21/article/2618 https://www.americaspg.com/storage/81749397067.pdf