| 基于三次Bézier基函数插值的GM(1,1)模型背景值优化研究 |
| |
| 引用本文： | 董克,吕文元.基于三次Bézier基函数插值的GM(1,1)模型背景值优化研究[J].数学杂志,2017,37(5):1022-1028. |
| |
| 作者姓名： | 董克 吕文元 |
| |
| 作者单位： | 上海理工大学管理学院, 上海 200093;安徽广播电视大学公共基础部, 安徽合肥 230022,上海理工大学管理学院, 上海 200093 |
| |
| 基金项目： | 上海市浦江人才计划项目（14PJC077）；安徽广播电视大学青年教师基金项目（qn15-19）. |
| |
| 摘 要： | 本文研究了传统灰色GM(1,1)模型存在模型精度不高的问题.利用带形状参数的三次Bézier基函数,给出插值函数的表达式,并结合复化梯形公式,给定误差限的方法,获得了比传统灰色GM(1,1)模型更高精度的结果.推广了传统灰色GM(1,1)预测模型的结果.
|
| 关 键 词： | GM(1 1)模型 复化梯形公式 背景值 插值函数 |
| 收稿时间： | 2015/7/1 0:00:00 |
| 修稿时间： | 2015/12/23 0:00:00 |
OPTIMIZATION OF BACKGROUND VALUE IN GM (1, 1) BASED ON CUBIC BÉZIER BASIS FUNCTION INTERPOLATION |
| |
| DONG Ke and LV Wen-yuan.OPTIMIZATION OF BACKGROUND VALUE IN GM (1, 1) BASED ON CUBIC BÉZIER BASIS FUNCTION INTERPOLATION[J].Journal of Mathematics,2017,37(5):1022-1028. |
| |
| Authors: | DONG Ke and LV Wen-yuan |
| |
| Institution: | Business School, University of Shanghai for Science and Technology, Shanghai 200093, China;Department of Foundation, Anhui Radio & TV University, Hefei 230022, China and Business School, University of Shanghai for Science and Technology, Shanghai 200093, China |
| |
| Abstract: | In this paper, we study the accuracy of GM(1,1) forecasting model. In combination with compound trapezoid formula, cubic Bézier basis function method with shape parameter interpolation function expression is presented to solve the problem of low precision of traditional GM(1,1). Given error limits, the model which given in this paper can obtain more precision than traditional GM(1,1) model, which enlarge the application scope of GM(1,1) model. |
| |
| Keywords: | GM (1 1) model compound trapezoid formula the background value interpolation function |
| 本文献已被 CNKI 等数据库收录！ |
| 点击此处可从《数学杂志》浏览原始摘要信息 |
| 点击此处可从《数学杂志》下载免费的PDF全文 |
|
