The Pure Numerical Graphical Study on The Errors of GM (1,1|α)

IF 1 4区工程技术 Q4 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS

Journal of Grey System Pub Date : 2006-06-01 DOI:10.30016/JGS.200606.0009

Fu-Yuan Hsu, Chang-Jo Wu, Kun-Li Wen, John H. Wu

引用次数: 4

Abstract

In the GM (1,1) study, the essential problem is ”how to establish the new known model to simulation the unknown given system, and to determine the best prediction results for the given system, in the other saying, the least error between real system to simulation model”. In this study, the graphical polygon area analyses are used to estimate the error of the number of equations in Least Square Method (LSQ Method) procedure and the value for the mean square error (MSE) analyses to determine a adjustable value of α in GM(1,1|α ). There are eight kinds of different data for original system’s output to analyze.

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GM (1,1|α)误差的纯数值图解研究

在GM(1,1)的研究中，本质问题是“如何建立新的已知模型来模拟未知的给定系统，并确定给定系统的最佳预测结果，即实际系统与仿真模型之间的误差最小”。本研究利用图形多边形面积分析估计最小二乘法(LSQ)过程中方程数的误差，并利用均方误差(MSE)分析确定GM(1,1 bb0 α)中α的可调值。对原系统的输出有八种不同的数据进行分析。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Journal of Grey System 数学-数学跨学科应用

CiteScore

2.40

自引率

43.80%

发文量

审稿时长

1.5 months

期刊介绍： The journal is a forum of the highest professional quality for both scientists and practitioners to exchange ideas and publish new discoveries on a vast array of topics and issues in grey system. It aims to bring forth anything from either innovative to known theories or practical applications in grey system. It provides everyone opportunities to present, criticize, and discuss their findings and ideas with others. A number of areas of particular interest (but not limited) are listed as follows: Grey mathematics- Generator of Grey Sequences- Grey Incidence Analysis Models- Grey Clustering Evaluation Models- Grey Prediction Models- Grey Decision Making Models- Grey Programming Models- Grey Input and Output Models- Grey Control- Grey Game- Practical Applications.