| 基于数据变换的优化GM(1,1)模型 |
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| 引用本文： | 汤旻安,李滢.基于数据变换的优化GM(1,1)模型[J].数学杂志,2015,35(4):957-962. |
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| 作者姓名： | 汤旻安 李滢 |
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| 作者单位： | 兰州交通大学自动化与电气工程学院, 甘肃 兰州 730070;兰州理工大学机电工程学院, 甘肃 兰州 730050,兰州交通大学自动化与电气工程学院, 甘肃 兰州 730070 |
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| 基金项目： | 国家自然科学基金资助(61263004);甘肃省科技支撑计划项目基金资助(090GKCA009;1304GKCA023);兰州市科技攻关计划项目基金资助(2013-4-18). |
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| 摘 要： | 本文研究了提高灰色GM(1,1)模型预测精度的问题.利用复合函数变换对原始数据序列经过一定处理的基础上同时优化模型的背景值和初始值的方法,获得了比改进单个模型条件更高预测精度的GM(1,1)模型,推广了灰色预测模型的适用范围.
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| 关 键 词： | 灰色理论 GM (1 1)模型 数据变换 初始条件 背景值 |
| 收稿时间： | 2013/10/17 0:00:00 |
| 修稿时间： | 2014/9/3 0:00:00 |
OPTIMIZED GM (1,1) MODEL BASED ON DATA TRANSFORMATION TECHNOLOGY |
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| TANG Min-an and LI Ying.OPTIMIZED GM (1,1) MODEL BASED ON DATA TRANSFORMATION TECHNOLOGY[J].Journal of Mathematics,2015,35(4):957-962. |
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| Authors: | TANG Min-an and LI Ying |
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| Institution: | School of Automation and Elec. Engin., Lanzhou Jiaotong University, Lanzhou 730070, China;School of Mechanical and Elec. Engin., Lanzhou University of Technology, Lanzhou 730050, China and School of Automation and Elec. Engin., Lanzhou Jiaotong University, Lanzhou 730070, China |
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| Abstract: | In this paper,we study the accuracy of grey GM (1,1) forecasting model improvement.Using the composite function transformation to deal with the original data sequence,and optimizing the background value and initial value of the model,we obtain a grey forecasting model which has a higher prediction accuracy than single condition improvement GM (1,1) model.The study extends the scope of GM (1,1) forecasting model. |
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| Keywords: | grey theory GM(1 1) model data transformation initial condition background value |
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