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生成矩阵与灰色预测
引用本文:贾湖,刘子先.生成矩阵与灰色预测[J].天津大学学报(自然科学与工程技术版),1996,29(5):758-762.
作者姓名:贾湖  刘子先
摘    要:累加生成与累减生成是灰色数据处理的主要手段,常用的有阶和二阶累加生成。对高阶m-AGO及其逆运算m-IAGO,本文给出了相应的生成矩阵,进而证明了累加生成灰指数律,最后分析了高阶灰色预测所导致的误差。

关 键 词:灰色系统  生成矩阵  灰指数律  灰色预测  灰色分析

GENERATING MATRIX AND GREY FORECASTING
Jia Hu,Liu Zixian.GENERATING MATRIX AND GREY FORECASTING[J].Journal of Tianjin University(Science and Technology),1996,29(5):758-762.
Authors:Jia Hu  Liu Zixian
Institution:College of Management Eng.
Abstract:The accumulated generating operation (AGO) and inverse accumulated generating operation are the main approaches to processing grey data. The first order and second order AGO sequences are often used. For high order m AGO and m IAGO, the generated matrix is proposed in this paper. Then using the matrix, the accumulated generated grey exponential law about the sequence is proved. Finally, the errors caused by high order grey forecasting are discussed.
Keywords:grey system  topology  generating matrix  grey exponential law  
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