| 改进的灰色多变量GM(1,N)模型及其应用 |
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| 引用本文： | 曾亮.改进的灰色多变量GM(1,N)模型及其应用[J].西南农业大学学报,2019,41(9):68-76. |
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| 作者姓名： | 曾亮 |
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| 作者单位： | 广东理工学院基础教学部 |
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| 基金项目： | 国家自然科学基金项目（61472089）；广东省特色创新项目（2016KTSCX164）；广东理工学院科研项目（GKJ2018013）. |
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| 摘 要： | 针对传统灰色多变量GM(1,N)模型的时间响应式不精确和建模精度不高等问题,利用各变量的一阶累加序列具有近似非齐次指数增长率的特性,对传统GM(1,N)模型的背景值进行了重构,提出了一种改进的GM(1,N)模型,并给出了该模型的参数估计式和近似时间响应式.最后通过算例模拟和应用实例表明了改进的GM(1,N)模型的有效性和实用性.
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| 关 键 词： | 灰色系统 GM(1 N)模型 非齐次指数增长率 背景值 预测 |
| 收稿时间： | 2017/8/17 0:00:00 |
An Improved Grey Multivariable GM(1, N) Model and Its Application |
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| ZENG Liang.An Improved Grey Multivariable GM(1, N) Model and Its Application[J].Journal of Southwest Agricultural University,2019,41(9):68-76. |
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| Authors: | ZENG Liang |
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| Institution: | Department of Basic Courses, Guangdong Polytechnic College, Zhaoqing Guangdong 526100, China |
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| Abstract: | For the traditional grey multivariable GM(1, N) model, the time response formula is inaccurate and the modeling accuracy is not high. Using the characteristics of the first-order cumulative sequence of each variable with an approximately non-homogeneous exponential increment rate, the background value of the traditional GM(1, N) model is reconstructed, then an improved GM(1, N) model is proposed, and the parameter estimation formula and approximate time response formula are given. Finally, a numerical simulation is made and an example is given to prove the effectiveness and practicability of the improved GM(1, N) model. |
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| Keywords: | grey system GM(1 N) model non-homogeneous exponential increment rate background value prediction |
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