In fact the grey prediction models such as GM(1,1) deal with the white number sequence rather than grey number
sequence. Meanwhile, interval grey number is very important in grey system. The trend and cognition of the interval grey number sequence are defined. An interval grey number sequence is transferred into the trend and cognition of interval grey number sequence, and then the interval grey number sequence is predicted with them, which can avoid the calculation of interval grey number and fully use the information embedded in the grey sequence. Finally, an example is given to show the effectiveness of the model.