浅谈数学建模中的灰色预测GM(1,1)模型的构建与应用  

Construction and Application of GM(1,1)Model in Mathematical Modeling

作　　者：姜翠翠 罗万春 JIANG Cuicui;LUO Wanchun(Department of Mathematics,College of Basic Medicine,Army Medical University,Chongqing 400038,China)

机构地区：[1]陆军军医大学基础医学院数学教研室,重庆400038

出　　处：《高等数学研究》2023年第4期31-33,共3页Studies in College Mathematics

基　　金：军队院校数学教学研究与改革课题(JY21B05).

摘　　要：本文简要介绍了灰色预测模型中常用的GM(1,1)模型的建模原理及步骤,讨论了GM(1,1)建模原始数据的适用范围及其预处理方法,还利用具体示例说明了当原始数据不适应时如何进行平移变换和移动平均变换,并对两种变换下的GM(1,1)模型的拟合预测效果进行比较.In this paper,we briefly present the principles and the construction steps of GM(1,1)model that are commonly used in the grey prediction model,and discuss the applicable scope and pre-processing of sample data of GM(1,1)model.In addition,the concrete example was given to explain how to deal with translation transformation and moving average when the sample data are not adaptable.The results of fitting and prediction are also compared under two kinds of transformations.

关 键 词：灰色预测模型 可行性分析 数据变换 精度检验 

分 类 号：N941.5[自然科学总论—系统科学]