New Strengthening Buffer Operators and Their Applications Based on Prior Use of New Information

In practice,there is a kind of sequence in which its increase(or decrease) rate of the former part is relatively slow but after that end time,the latest data x(n) presents a fast growth(or decline) trend because the system is greatly subject to outside factors.And it is proved by qualitative analysis that this trend will last.For modeling this kind of sequence,novel strengthening buffer operators are put forward based on the prior use of latest information,and the relevant theorems are proved according to the axiomatic of buffer operators.The theoretical analysis and empirical test show that strengthening buffer operators proposed in this paper can effectively increase the forecast precision of grey model.