The development of GM(1,1) error toolbox

In the prediction research, the main purpose is to minimize the prediction error; however, the goals cannot be fulfilled completely. Even we choose GM(1,1) model, we also need to minimize the prediction error. Hence, in this paper, we first focus on the influence parameter alpha in GM(1,1) model, then, analyze the characteristics of alpha step by step. Second, we give up the alpha = 0.5 method, and use numerical method to find the prediction error corresponding with alpha value and plot the figure of the function of error. Finally, after the mathematics model has been presented; we also develop a toolbox, which based on C language to assist us to implement our approach. Consequently, we conclude that the value of alpha is adaptive in the interval of [0,1] in GM(1,1) model.