非等间距GM(1,1)模型研究

非等间距GM(1,1)模型是灰色理论中的重要组成部分。文章分别从数据变换生成方法、建模方法、背景值优化、初始条件优化、模型参数估计方法的优化、其他要素的优化和模型的拓展7个方面对近年来非等间距GM(1,1)模型的研究进展进行比较全面的梳理,明确了有待进一步研究突破的问题,并对非等间距GM(1,1)模型未来的研究方向和重点提出建议。

Research on the Unequal Interval GM(1,1) Model

Unequal interval GM(1,1) model is a vital part of grey theory. In this paper, seven aspects for the research work of the unequal interval GM(1,1) model in recent years were presented in details, namely, grey generation method, model.ing method, background value optimization, initial condition optimization, optimization of model parameter estimationmethod, optimization of other elements and model expansion. Furthermore, the problems to be further studied and over.come were clarified. And some suggestions of the future research directions and focuses of the unequal interval GM(1,1)model were also put forward.