Deficiency of the Smoothness Condition and Its Remedy

Abstract

In the article, the deficiency of the existing smooth condition is pointed out. In order to overcome the deficiency, we classified the grey models, so that we can define the new smooth degree respectively according to the classification. The concept of the new smooth degree of the first-class grey model is put forward, and the essential characteristics of the sequence in an extreme condition such as the new smooth degree is 1 and 0 are given; furthermore, the new comparison criterion of the new smooth degree is introduced and the consistency of the new comparison criterion of the smooth degree with the prevision criterion is proved.