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| 具有白指数律重合性的GM(1,1)的建模方法 | |
| 引用本文： | 亓健,吴迈,蔡秀玲.具有白指数律重合性的GM(1,1)的建模方法[J].华中科技大学学报(自然科学版),2002,30(4):107-109. |
| 作者姓名： | 亓健 吴迈 蔡秀玲 |
| 作者单位： | 1. 石油大学应用数学系 2. 上海自来水市北有限公司 3. 胜利石油学校 |
| 摘 要： | 利用灰色模型的级差格式的概念,找到了GM（1,1）模型的背景函数,从理论上说明了GM（1,1）模型与GM（1,1）逐步优化直接建模加速方法两者的关系,GM（1,1）逐步优化直接建模加速方法是一个近似精确级差格式,而原GM（1,1）模型在模型曲线接近直线时是一近似精确级差格式。以此为基础,并通过实例说明了GM（1,1）模型的有效性,及累加生成可降低误差的影响,增强规律性。 |
| 关 键 词： | 白指数律重合性 GM（1 1） 灰色模型 级差格式 累加生成 |
| 文章编号： | 1671-4512(2002)04-0107-03 |
| 修稿时间： | 2001年10月30 |
The modeling method for the gray model GM(1,1) with white exponential superposition |
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| Qi Jian Wu Mai Cai Xiuling Assoc. Prof., Dept. of Mathematics,Univ. of Petroleum,Dongying ,Shandong,China..The modeling method for the gray model GM(1,1) with white exponential superposition[J].JOURNAL OF HUAZHONG UNIVERSITY OF SCIENCE AND TECHNOLOGY.NATURE SCIENCE,2002,30(4):107-109. | |
| Authors: | Qi Jian Wu Mai Cai Xiuling Assoc Prof Dept of Mathematics Univ of Petroleum Dongying Shandong China |
| Institution: | Qi Jian Wu Mai Cai Xiuling Assoc. Prof., Dept. of Mathematics,Univ. of Petroleum,Dongying 257062,Shandong,China. |
| Abstract: | Based on setting function of the gray model GM(1,1), the gray model GM(1,1) is discussed by the grade difference format. The setting function of the gray model GM(1,1) is found, and the relation between the gray model GM(1,1) and the step by step optimal direct modeling speedup method (SSODMSM) are shown. The result shows that GM(1,1) SSODMSM is approximately a precision grade difference format and when modeling curve approaches line, GM(1,1) does too. It shows that accumulated generating operation (AGO) of the gray model can "strengthen" the law and reform random of numbers. It has nice anti interference. |
| Keywords: | the gray model the grade difference format accumulated generating operation (AGO) |
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