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