| 基于灰关联度的面板数据聚类方法及在空气污染分析中的应用 |
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| 引用本文： | 党耀国,朱晓月,丁松,王俊杰.基于灰关联度的面板数据聚类方法及在空气污染分析中的应用[J].控制与决策,2017,32(12):2227-2232. |
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| 作者姓名： | 党耀国 朱晓月 丁松 王俊杰 |
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| 作者单位： | 南京航空航天大学经济与管理学院,南京211106,南京航空航天大学经济与管理学院,南京211106,南京航空航天大学经济与管理学院,南京211106,南京航空航天大学经济与管理学院,南京211106 |
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| 基金项目： | 国家自然科学基金项目(71071077,71371098)；中央高校基本科研业务费专项资金项目(NC2012001, NR2013033)；江苏高校哲学社会科学重点研究基地项目(2012JDXM005)；江苏省普通高校研究生科研创新计划项目(SJZZ16_0050). |
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| 摘 要： | 针对面板数据的三维特征、正负相关性以及灰色关联模型缺乏有效检验等问题,构建面板数据灰色关联模型,拓展了面板数据聚类方法;引入灰熵,提出灰色关联聚类的检验模型.研究发现,灰色关联度模型能够反映面板数据的正、负相关关系,且具有对称性、唯一性和可比性.通过在苏南4市空气质量区域划分中的应用,表明基于面板数据灰关联模型的聚类方法具有良好的效果,各类别的灰色关联度差异明显,层次清晰.
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| 关 键 词： | 灰色关联度 面板数据 聚类分析 斜率 |
Panel data clustering method based on grey correlation degree and its application in air pollution analysis |
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| DANG Yao-guo,ZHU Xiao-yue,DING Song and WANG Jun-jie.Panel data clustering method based on grey correlation degree and its application in air pollution analysis[J].Control and Decision,2017,32(12):2227-2232. |
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| Authors: | DANG Yao-guo ZHU Xiao-yue DING Song and WANG Jun-jie |
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| Affiliation: | College of Economics and Management,Nanjing University of Aeronautics and Astronautics,Nanjing 211106,China,College of Economics and Management,Nanjing University of Aeronautics and Astronautics,Nanjing 211106,China,College of Economics and Management,Nanjing University of Aeronautics and Astronautics,Nanjing 211106,China and College of Economics and Management,Nanjing University of Aeronautics and Astronautics,Nanjing 211106,China |
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| Abstract: | According to some problems of the grey relational model for panel data, such as the three-dimensional feature, the positive and negative relation of the panel data, and the model being lack of effective testing, the panel data grey relational model is built to expand the panel data clustering method. Grey entropy is introduced into the model and the test model of grey clustering model is proposed. The study shows that the grey relational model can reflect the positive and negative relation of the panel data and possess symmetry property, unique property and comparable property. The application of example in air pollution analysis indicates that the method has good effect, and the grey correlation degree of each category is obvious. |
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