| 非等间距GM(1,1)模型背景值构造方法及应用 |
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| 引用本文： | 李翠凤,戴文战.非等间距GM(1,1)模型背景值构造方法及应用[J].清华大学学报(自然科学版),2007,47(Z2):1729-1732. |
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| 作者姓名： | 李翠凤 戴文战 |
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| 作者单位： | 1. 浙江工商职业技术学院,网络中心,宁波,315012
2. 浙江工商大学,杭州,310035 |
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| 摘 要： | 背景值是影响灰色系统理论建模精度的重要因素之一。为提高灰色模型的预测精度,对非等间距GM(1,1)模型中的背景值构造进行了研究,提出了用x(1)(t)在区间ki,ki 1]上的中点实际值作为背景值。该背景值计算简洁,适应性强,提高了非等间距GM(1,1)模型精度,拓广了非等间距GM(1,1)模型的适用范围。并应用改进的非等间距GM(1,1)对钛合金疲劳强度随温度变化的关系进行建模,取得了满意的效果,数据拟合精度高达98.8%。建模结果表明了该文提出的方法的有效性。
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| 关 键 词： | 背景值 灰色模型GM(1 1) 非等间距序列 |
| 文章编号： | 1000-0054(2007)S2-1729-04 |
| 修稿时间： | 2007年4月12日 |
Determinator of the background level in the non-equidistant GM (1,1)model |
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| LI Cuifeng,DAN Wenzhan.Determinator of the background level in the non-equidistant GM (1,1)model[J].Journal of Tsinghua University(Science and Technology),2007,47(Z2):1729-1732. |
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| Authors: | LI Cuifeng DAN Wenzhan |
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| Abstract: | The background grey level is an important factor affecting the precision of grey system models.To improve the precision of the grey model,the value of the point midway between ki and ki 1 is defined based on the structure of the background levels in the non-equidistant GM(1,1) model.This background level is easy to calculate and very adaptable.The method greatly improves the precision of the non-equidistant grey model and widens the range of application.The method is applied to build a model relating the titanium alloy color and its temperature,with much better results obtained with an accuracy of 98.8%.The results in practical applications show that this approach is very effective. |
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| Keywords: | background grey level gray model GM(1 1) non-equidistant sequence |
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