关于灰色系统模型GM（1,1）适用范围的讨论

Discussion on the Application Range of GM (1, 1)

摘要: 讨论了灰色系统理论中被应用得最多的GM(1,1)模型(-阶-变元灰色系统)的适用范围的问题,证明了当初始数据恒正且呈凹向时是GM(1,1)的最佳适用范围.最后,举例说明了对其他情况提出的改进方法.

Abstract: The application of GM(1, 1), which is most used in gray system theory is discussed. It is proved that the scope of application is upon the condition that the original data is positive and concave. The improving methods suited for other conditions are put forward with examples.