International Journal of Neutrosophic Science
  IJNS
  2690-6805
  2692-6148
  
   10.54216/IJNS
   https://www.americaspg.com/journals/show/2618
  
 
 
  
   2020
  
  
   2020
  
 
 
  
   An Effective Algorithm for Solving Weak Fuzzy Complex Diophantine Equations in Two Variables
  
  
   Applied Science Private University Amman,11931, 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, 
   
    Malik
    Bataineh
   
   Department of Mathematics, Jerash University, Jerash 26150, Jordan 
   
    Mowafaq Omar Al
    Al-Qadri
   
   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
   
  
  
   Weak fuzzy complex numbers are defined as  , with   as an extension of real numbers with  . 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
  
  
   2024
  
  
   386
   394
  
  
   10.54216/IJNS.230431
   https://www.americaspg.com/articleinfo/21/show/2618