| 逐步优化灰导数的非等间距GM(1,1)模型 |
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| 引用本文： | 张凌霜,王丰效.逐步优化灰导数的非等间距GM(1,1)模型[J].数学的实践与认识,2010,40(11). |
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| 作者姓名： | 张凌霜 王丰效 |
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| 基金项目： | 陕西省教育厅科研基金，陕西理工学院科研基金 |
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| 摘 要： | 利用前向差商和后向差商的加权平均值代替灰导数,对非等间距灰色预测模型进行了改进,给出了加权系数的估计公式,并采用逐步递推的方法优化参数,建立新的非等间距GM(1,1)模型.最后通过实例证明了新模型具有较高的精度.
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| 关 键 词： | 非等间距序列 GM(1 1)模型 灰导数 |
Optimizes Grey Derivative of Unequal Interval Grey GM(1,1) Model |
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| ZHANG Ling-shuang,WANG Feng-xiao.Optimizes Grey Derivative of Unequal Interval Grey GM(1,1) Model[J].Mathematics in Practice and Theory,2010,40(11). |
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| Authors: | ZHANG Ling-shuang WANG Feng-xiao |
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| Abstract: | Based on the optimizes grey derivative arithmetic,unequal interval grey model GM(1,1)is improved which grey derivative is substituted by weighted average of forward difference quotient and backward difference quotient,and giving the formula of weighted coefficient.The new model of unequal interval sequence is estabhshed by optimize parameter step by step.The application example shows that the new model has highly precision. |
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| Keywords: | unequal interval sequence GM(1 1)model grey derivative |
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