| 对背景值优化的新GM(1,1)模型 |
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| 引用本文： | 廖飞.对背景值优化的新GM(1,1)模型[J].数学的实践与认识,2009,39(18). |
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| 作者姓名： | 廖飞 |
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| 作者单位： | 牡丹江师范学院,数学系,黑龙江,牡丹江,157012 |
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| 基金项目： | 牡丹江师范学院教育教学改革工程青年教师一般项目，牡丹江师范学院科学技术研究项目 |
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| 摘 要： | 为了提高灰色GM(1,1)模型的模拟及预测精度,考虑对模型的初始条件x(1)(n)增加扰动因素β,把x(1)(n)+β作为模型的新初始条件,并对模型的背景值进行优化,从而得到了一种改进的GM(1,1)模型.还通过实例验证了新建模型比原有模型提高了拟合的效果及预测的精度.
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| 关 键 词： | GM(1 1)模型 初始条件 背景值 |
Optimization Integrated Background Value for New GM(1,1)Model |
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| LIAO Fei.Optimization Integrated Background Value for New GM(1,1)Model[J].Mathematics in Practice and Theory,2009,39(18). |
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| Authors: | LIAO Fei |
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| Abstract: | The simulation precision and the forecast precision of the optimized GM (1,1) model has all enhanced. According to the new rest first principle of the grey systems theory, this article proposed that let the nth component of x~((1))+β be the initial condition of the pessimistic differential model and unify the method which optimized back ground value to improve the GM(1,1) model. The fitting precision of the new model is still high. |
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| Keywords: | GM(1 1) model initial condition back ground value |
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