| 一种离散GM(1,1)模型的研究 |
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| 引用本文： | 胡大红,姚志鹏. 一种离散GM(1,1)模型的研究[J]. 湖北汽车工业学院学报, 2010, 24(3): 59-62. DOI: 10.3969/j.issn.1008-5483.2010.03.015 |
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| 作者姓名： | 胡大红 姚志鹏 |
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| 作者单位： | 华中师范大学汉口分校,湖北,武汉,430212 |
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| 摘 要： | 分析了离散GM(1,1)模型与原始GM(1,1)模型的关系,二者形式相同,建模机理相同,但建模过程不完全相同,所以二者的时间响应函数不同。解释了离散GM(1,1)模型比原始GM(1,1)模型优越的原因,并从理论上证明了该离散GM(1,1)模型不仅具有白化指数律、白化系数律重合性,而且具有线性变换一致性。
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| 关 键 词： | 灰色理论 离散GM（1,1）模型 白化指数律重合性 线性变换一致性 |
Study on the Discrete GM(1,1)Model |
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| Hu Dahong,Yao Zhipeng. Study on the Discrete GM(1,1)Model[J]. Journal of Hubei Automotive Industries Institute, 2010, 24(3): 59-62. DOI: 10.3969/j.issn.1008-5483.2010.03.015 |
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| Authors: | Hu Dahong Yao Zhipeng |
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| Affiliation: | (Branch school of Huazhong Normal University,Wuhan 430212,China) |
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| Abstract: | The relation between the discrete GM（1,1） model and the original GM（1,1） model is analyzed,their forms and their modeling mechanisms are same,but their modeling process are incompletely same,therefore their time response functions are different.The reason that the discrete GM（1,1） model is more superior than the original GM（1,1） model is explained,and it is proved in theory that the discrete GM（1,1） model not only has coincidence of the white exponent law,and the white coefficient law,but also has uniformity of the linear transformation. |
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| Keywords: | grey theory discrete GM（1 1） model coincidence of white exponent law uniformity of linear transformation |
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