[1]郭丽萍,孙伟,郑克仁,等.非等时距GM(1,1)直接模型及其在材料试验数据处理中的应用[J].东南大学学报(自然科学版),2004,34(6):833-837.[doi:10.3969/j.issn.1001-0505.2004.06.026]
 Guo Liping,Sun Wei,Zheng Keren,et al.Non-equal interval GM(1,1)direct model and its application in processing of materials experimental data[J].Journal of Southeast University (Natural Science Edition),2004,34(6):833-837.[doi:10.3969/j.issn.1001-0505.2004.06.026]
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非等时距GM(1,1)直接模型及其在材料试验数据处理中的应用()
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《东南大学学报(自然科学版)》[ISSN:1001-0505/CN:32-1178/N]

卷:
34
期数:
2004年第6期
页码:
833-837
栏目:
材料科学与工程
出版日期:
2004-11-20

文章信息/Info

Title:
Non-equal interval GM(1,1)direct model and its application in processing of materials experimental data
作者:
郭丽萍 孙伟 郑克仁 陈波
东南大学材料科学与工程系, 南京 210096
Author(s):
Guo Liping Sun Wei Zheng Keren Chen Bo
Department of Materials Science and Engineering, Southeast University, Nanjing 210096, China
关键词:
非等时距 GM(11) 直接模型 数据处理
Keywords:
non-equal interval GM(11) direct model data processing
分类号:
TU5
DOI:
10.3969/j.issn.1001-0505.2004.06.026
摘要:
在原始数列等时距处理的基础上,通过用一次累减数列与原始数列构建微分模型,得到了非等时距GM(1,1)直接模型; 并给出2个具有不同饱和特征的材料试验数据处理实例.通过这2个实例说明了非等时距GM(1,1)直接模型适合处理呈上升或下降饱和变化趋势、对数据无非负性要求的任意数列,其预测值不需要还原计算,具有适用范围广、预测精度高和简单实用的特点.该模型有效弥补了传统GM(1,1)模型在此类数据处理方面的不足,因此,具有较大的应用推广价值.
Abstract:
Based on the equidistant processing of the initial data, the non-equal interval GM(1, 1)direct model is established, which is a differential equation consisted of the inverse accumulated generating data list and the initial data list. By applying this modified gray model to process two examples which have different trends of saturation, the prominent characteristics of this modified gray model are shown. The model can be used to process the original data that are negative, non-negative, saturated and non-equal interval; its modeling process is simpler than the traditional GM(1,1)because its forecast data do not have to be reverted to X(0)0. This modified gray model makes up for the weakness in the existing ways and its forecast accuracy is better. Therefore, it can be widely applied to process the experimental data of materials.

参考文献/References:

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备注/Memo

备注/Memo:
基金项目: 国家自然科学基金重点资助项目(59938170).
作者简介: 郭丽萍(1979—),女,博士生; 孙伟(联系人),女,博士,教授,博士生导师,sunwei @ seu.edu.cn.
更新日期/Last Update: 2004-11-20