Universal approximation; fuzzy transform, basic function

The technique of direct and inverse F-transforms is introduced and approximating properties of the models are developed. Among them are numeric integration and approximate solution of ordinary differential equations (the Cauchy problem). Advantages of the new technique based on F-transforms over some classical numeric methods are demostrated on examples.

The technique of direct and inverse F-transforms is introduced and approximating properties of the models are developed. Among them are numeric integration and approximate solution of ordinary differential equations (the Cauchy problem). Advantages of the new technique based on F-transforms over some classical numeric methods are demostrated on examples.