About the Stability of Fuzzy Differential Equations

Stability of fuzzy differential equations is one of the most important tasks in fuzzy set theory, since studying the behavior of the solution of the fuzzy differential system without solving the system explicitly fall into two categories:

1. Theorems dealing with characteristic polynomials associated with linear or almost linear system.
2. The second method of Liapanov or sometimes is called the direct method of Liapanov.

Therefore; the main objective of this thesis is to use the second approach (direct method of Liapanov) to study the stability of system of fuzzy differential equations without solving the system explicitly and studying and prove some additional results indulging fuzzy stability.