| MGM(1,n)灰色模型及应用 |
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| 引用本文： | 翟军,盛建明,冯英浚. MGM(1,n)灰色模型及应用[J]. 系统工程理论与实践, 1997, 17(5): 110-114. DOI: 10.12011/1000-6788(1997)5-110 |
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| 作者姓名： | 翟军 盛建明 冯英浚 |
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| 作者单位： | 1. 哈尔滨工业大学数学系;2. 石油勘探开发科学研究院 |
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| 摘 要： | 提出多变量灰色模型（ｍｕｌｔｉ－ｖａｒｉａｂｌｅｇｒｅｙｍｏｄｅｌ）—ＭＧＭ（１，ｎ）模型，它是单变量的ＧＭ（１，１）模型在多变量（ｎ元变量）情况下的自然推广。通过对国有建筑施工企业就业人数和城镇集体建筑施工企业就业人数的建模和预测，表明ＭＧＭ（１，ｎ）模型的精度高于分别单独使用的ＧＭ（１，１）模型的精度.
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| 关 键 词： | MGM（1 n）模型 GM(1:1)模型 建模 预测 |
| 收稿时间： | 1995-11-20 |
The Grey Model MGM(1,n) and Its Application |
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| Zhai Jun. The Grey Model MGM(1,n) and Its Application[J]. Systems Engineering —Theory & Practice, 1997, 17(5): 110-114. DOI: 10.12011/1000-6788(1997)5-110 |
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| Authors: | Zhai Jun |
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| Affiliation: | 1. Dept.of Math., Harbin Institute of Technology, Harbin 150001;2. Research Institute of Petroleum Exploration and Development,Beijing 100083;3. Dept. of Math., Harbin Institute of Technology, Harbin 150001 |
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| Abstract: | In this paper, a multi-variable grey model (MGM(1,n)) is presented, which generalizes the univariable GM(1,1) model to the multi-variable system.A practice example is given about the total employees of national operated and urban collective architectural enterprises, in which a comparison about the modeling and prediction results is made between two cases:using the MGM(1,n) model only and using the GM(1,1) seperately. It is shown the MGM(1,n) model has a higher accuracy. |
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| Keywords: | MGM(1 n) GM(1:1) modeling prediction |
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