Properties of buffer operators based on discrete GM(1,1) model

The purpose of establishing buffer operators is to improve the smooth degree, then increase the simulation accuracy of the model. This paper probed into modeling mechanism of several typical buffer operators such as the arithmetic buffer operators, the buffer operators with monotonic function and weighted buffer operators. The results indicates that after infinite buffer operators, no matter we adopt a weakening buffer operator or a strengthen buffer operator, the raw sequence can be changed into a constant sequence. Because discrete GM(1,1) model can completely simulate constant sequence, the simulation accuracy is 100%. Because discrete GM(1,1) model is the accurate form of GM(1,1) model, after infinite buffer operator, GM(1,1) model can have very high simulation accuracy.