The Development of the Fractional Power Matrix Toolbox in The Data Processing of GM (1,1) Model

According to the basic of empirical mathematical operation of GM (1,1) model in grey system theory, the background value is used to establish in the first order differential model, and the traditional method is taken the average of the two neighbor points. According to the past research in GM (1,1) model, it can fine that the background value not only is the main influence factor, but also is the most important influence factor in prediction error. Therefore, the paper based on the past research, focused on the adjustment of the background values, present a new approach, which is called the fractional order accumulation method, and combine with the combination mathematics method to get the mathematics result. Besides, the paper also develops computer toolbox to reduce the complex calculation and to verify the accuracy of final results. From the mentioned above, the paper it not only get rid of the default of traditional background value method, but also to open a new approach for GM (1,1) model.

並列關鍵字

GM((1,1) ； Background value ； Error ； fractional order accumulation ； Computer toolbox

國際替代計量

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