Hybrid Fuzzy Differential System and Artificial Neural Networks: Some Issues in Economics

Hybrid systems evolve in continuous time, like differential systems, but undergoing a fundamental change in their governing equations at a sequence of discrete times. When a continuous time dynamics of a hybrid system is given by a Fuzzy Differential Equations (FDEs), the system is called a hybrid fuzzy differential system. This structural and mathematical framework in our opinion is very close to the context of Artificial Intelligence and its applications in various fields.