一类新的弱化缓冲算子的拓广及其应用

A kind of buffer operators and their applications

改进数据序列的光滑度是提高GM(1,1)预测精度的有效方式之一,而弱化缓冲算子是可以提高序列光滑度的方法[6].本文在对现有弱化缓冲算子深入分析的基础上,根据缓冲算子不动点公理及其新信息优先利用公理,客观地构造了一类新的弱化缓冲算子,同时从理论上给予了证明,有效地解决了冲击扰动数据序列的定量预测结果与定性分析结论不符的问题.实例结果表明,该类强化缓冲算子能显著提高数据预测模型的预测精度.

Improvement smoothness of data sequence is one of the effective ways enhancing the forecast accuracy of GM（1,1）. Based on analyzing of the present weakening buffer oper- ators, some new weakening buffer operators establish buffer operators and the principle of prior using new information according to the three axioms. Meanwhile, they are proved in theory. The problem that there are some contradictions between qualitative analysis in pre- treatment for vibration data sequences is resolved effectively. The conclusion shows the weakening buffer operators increase the forecast precision of the data forecast model remark-able.