灰色系统理论中的三维数据序列(英文)

Three-dimensional Data Sequences in Grey System Theory

灰色系统理论应用中处理的数据大多是时间序列数据,序列中每一个数据点都可以看作是一维数轴上的一个点。在实际工程应用中,有大量的数据是二维和三维数据,论文就这些数据能否用灰色系统理论进行处理进行了一些尝试,定义了三维数据序列的概念,讨论了由空间数据点构成的三维数据序列的表达式以及累加生成方法,最后给出了一个采用GM(1,1)模型进行预测的三维数据应用实例。

Grey System Theory mainly deals with data in time sequences all of which can be considered as one-dimensional data. In engineering practice, there are many data sequences described in three-dimensional or planar form. This paper deals with three-dimensional data sequences. We discuss the accumulating generation of them and try to process these data with Grey System Theory. In the end, we give an example of grey prediction using GM(1,1)model to prove that Grey System Theory is also adaptable to the processing of three-dimensional data sequences.