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| 区间灰数序列的灰色预测模型构建方法 | |
| 引用本文： | 吴利丰,刘思峰,闫书丽.区间灰数序列的灰色预测模型构建方法[J].控制与决策,2013,28(12):1912-1914. |
| 作者姓名： | 吴利丰 刘思峰 闫书丽 |
| 作者单位： | 南京航空航天大学经济与管理学院，南京210016 |
| 基金项目： | 国家自然科学基金项目(90924022, 70971064, 70901041)；江苏省高等学校优秀创新团队项目(P0702)；南京航空航天大学创新群体项目(Y0553)；特聘教授科研创新基金项目(1009-260812)；南京航空航天大学博士学位论文创新与创优基金项目(BCXJ12-13)；江苏省普通高校研究生科研创新计划项目(CXLX12 0176)；中央高校基本科研业务费专项资金项目. |
| 摘 要： | 研究包含实数、区间灰数的混合型预测问题. 首先通过计算灰数层的面积和区间灰数的认知程度, 将区间灰数序列转变成实数序列; 然后分别预测灰数层的面积和区间灰数的认知程度, 推导还原得到区间灰数预测模型; 最后通过与现有文献中的实例进行对比, 说明了所提出的建模方法在避免区间灰数之间代数运算的情况下, 提高了建模精度. |
| 关 键 词： | 灰色系统理论|区间灰数|认知程度|混合序列 |
| 收稿时间： | 2012/8/13 0:00:00 |
| 修稿时间： | 2012/10/31 0:00:00 |
Grey prediction model for hybrid sequence |
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| WU Li-feng LIU Si-feng YAN Shu-li.Grey prediction model for hybrid sequence[J].Control and Decision,2013,28(12):1912-1914. | |
| Authors: | WU Li-feng LIU Si-feng YAN Shu-li |
| Abstract: | The forecasting problem whose sample data including real number and interval grey number is studied. An interval grey number sequence is converted into a real number sequence by calculating the areas of grey number layers and the cognition of interval grey number. The areas of grey number layers and the cognition of interval grey numbers are predicted respectively. Then the unbiased prediction model of the interval grey number is achieved by deducing and reverting. Comparisons real example from the reference with the unbiased prediction model demonstrates that the unbiased prediction model is more accurate than other models, it is shown that this method is effective and applicable, and can avoid the calculation of interval grey number. |
| Keywords: | grey system theory|interval grey number|cognition|hybrid sequence |
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