Global Stability of a System of Fuzzy Difference Equations of Higher-Order

This paper investigates a new system of two-dimensional nonlinear fuzzy difference equations, highlighting the benefits of employing fuzzy set theory to capture uncertainty in dynamic systems. We examine the existence, uniqueness, and qualitative dynamics of positive solutions within this higher-order system. By leveraging stability analysis techniques, we provide insights into the dynamic behavior of these equations. Furthermore, we validate our theoretical findings through two numerical examples.