A modified GM(1,1) model and its application

A modified GM(1,1) model is constructed by producing new data sequence with the method of transforming every datum of raw data sequence into its n-th root. It is demonstrated that the property of the modified GM(1,1) model is superior to GM(1,1) model by numerical experiment. Moreover the modified model is applied in the prediction of fruit price index in China. The actual results also show that the modified model is more accurate.