An Effective Algorithm for Solving Weak Fuzzy Complex Diophantine Equations in Two Variables

Abstract

Weak fuzzy complex numbers are defined as + , with 2 ]0,1[ 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.

Keywords : Weak fuzzy complex integer , Diophantine system , Linear Diophantine equation