针对灰色系统理论中的数据变换技术进行深入研究,从数据变换的机理入手,提出了数据变换的构造准则,在该准则的基础上构造出一种新型数据变换。通过对该新型数据变换若干性质的讨论验证了其满足数据变换的构造准则,并将该变换应用于GM(1,1)模型。通过具体的实例的计算表明,该变换能够提高GM(1,1)模型的预测精度,具有一定的实用性。
A comprehensive research on data transformation from the mechanism is given.Then the guidelines for the construction of the transformation are proposed,and a new type of transformation is constructed based on that.A number of properties of the new transformation are also discussed and applied to a GM(1,1) model.It is proved that the new GM(1,1) model is improved by the new transformation,and the efficiency of this method.