| 近似非齐次指数序列的DGM(1,1)直接建模法 |
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| 引用本文： | 曾波,刘思峰.近似非齐次指数序列的DGM(1,1)直接建模法[J].系统工程理论与实践,2011,31(2):297-301. |
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| 作者姓名： | 曾波 刘思峰 |
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| 作者单位： | 1. 南京航空航天大学 经济与管理学院, 南京 210016;2. 重庆工商大学 商务策划学院, 重庆 400067 |
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| 基金项目： | 国家自然科学基金，南京航空航天大学博士学位论文创新与创优基金，重庆市自然科学基金，国家社会科学基金，博士后科学基金 |
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| 摘 要： | 优化了模型DGM(1,1)的建模初始条件,讨论并证明了该模型与原始数据在升、降、凹、凸等几何形状方面的吻合性;最后通过算例验证了该模型的有效性及实用性;DGM(1,1)直接建模法对丰富与完善灰色预测模型的理论体系,具有积极的意义.
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| 关 键 词： | 灰色系统理论 预测模型 DGM(1:1)模型 直接建模 近似非齐次指数序列 |
| 收稿时间： | 2009-6-15 |
Direct modeling approach of DGM(1,1)with approximate non-homogeneous exponential sequence |
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| ZENG Bo,LIU Si-feng.Direct modeling approach of DGM(1,1)with approximate non-homogeneous exponential sequence[J].Systems Engineering —Theory & Practice,2011,31(2):297-301. |
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| Authors: | ZENG Bo LIU Si-feng |
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| Institution: | 1. College of Economic and Management, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China;2. College of Business Planning, Chongqing Technology and Business University, Chongqing 400067, China |
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| Abstract: | This paper optimized the initial condition of DGM(1,1) model, and discussed and proved the consistency of the novel model and the original data in the aspects of geometric shape with up, down, concave, convex and etc. Ultimately, some examples show the practicability and validity of the novel modeling approach. The new model has a vital significance for enriching and perfecting the theory system of grey prediction model. |
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| Keywords: | grey system theory prediction model DGM (1 1) model direct modeling approximate non-homogeneous exponential sequence |
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