离散灰色模型的仿射特性研究

Research on the affine properties of discrete grey model

对离散灰色模型进行了重新定义并给出了参数求解式,建立了离散最优化灰色模型.通过对这两个模型进行仿射特性研究,分析了仿射变换导致的模型参数变化特征,以及仿射变换对模型模拟和预测值的影响.研究结果表明,通过仿射变换,可以缩小数据的量级,简化建模过程,而不会改变模型的模拟和预测效果.

A discrete grey model is redefined, and its parameters expression is given. Then the discrete grey optimize model is constructed. The properties of parameters caused by the affine transformations are analysed, so is the infection that affine transformations caused to simulative and predicative results. Study results show that the data level can be reduced, the course of constructing model can be simplified, but the simulative and predicative results do not change.