Dynamics of two-dimensional higher-order systems of fuzzy difference equations

This thesis consists of five chapters. In the first chapter, general information about difference equations, systems of difference equations, fuzzy sets and fuzzy logic are given. In the second chapter, information about some studies in literature about difference equations, systems of difference equations, fuzzy difference equations and systems of fuzzy difference equations are given. Moreover, basic definitions and theorems about difference equations, systems of difference equations, fuzzy difference equations and systems of fuzzy difference equations are given. In the third chapter, system of fuzzy difference equations is considered, the existence and uniqueness of positive solutions of the given system is shown and the equilibrium point is investigated. Also, two examples are given to demonstrate the accuracy of the results. In the fourth chapter, system of fuzzy difference equations is considered, the existence and uniqueness of positive solutions of the given system is shown and the equilibrium point is investigated. Also, two examples are given to demonstrate the accuracy of the results. In the fifth chapter, results and suggestions are given in line with the studies carried out. Keywords: Difference equations, System of difference equations, System of fuzzy difference equations, Boundedness, Equilibrium point