The Study of GM (1,1|α) on the Verhulst Model

In the GM (1,1) study, generally speaking, the original data are non-smoothing type. But, actually, many types of data are smoothing and nonlinear. Such as population model, that is shown the saturation behavior in where. Hence, Deng and Wen proposed Verhulst model in GM (1,1) model to analyze this type of original data. However, the formula has some missing. Therefore, in this paper, we not only present the novel application for GM(1,1|α) to solve the problem, but also suggest the 4-points rolling in GM(1,1|α) is the better method in this field.