Modeling mechanism of the ameliorating GM(1,1) model and its application

Based on exponential trait of original data sequence and integral definition, the new reconstruction method of background value is put forward in this paper. The modeling precision and prediction precision of the ameliorating GM(1,1) model can be advanced. Moreover, the application area of GM(1,1) model can be enlarged. At last, the model of Chinese chemical fiber output is set up. Simulation examples show the effectiveness of the proposed approach.