Non-equidistance DGM(1,1) Model Based on the Concave Sequence and Its Applicatio

本文刊于:《Journal of Systems Science and Information》 2018年第04期

关键词:
DGM(1 1) Model;concave sequence;initiali

Keywords
DGM(1,1) Model;concave sequence;initialization;symmetry transformation;non-equidistance DGM(1,1) model
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摘要
     Although the grey forecasting model has been successfully adopted in various fields and demonstrated promising results, the literatures show its performance could be further improved, such as for the DGM(1,1) model, based on a concave sequence, the modeling error will be larger. In this paper,firstly the definition of sequence convexity is given out, and it is proved that the output sequence of DGM(1,1) model is a convex sequence. Next, the residual change law of DGM(1,1) model based on the concave sequence is discussed, and the non-equidistance DGM(1,1) model is proposed. Finally, by introducing the symmetry transformation, a concave sequence is transformed into a convex sequence, called the symmetric sequence of the concave sequence, and then construct the non-equidistance DGM(1,1)model based on the convex sequence. The example results show that the novel method is more accurate than the direct modeling for a concave sequence.


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