| 基于白化权函数分类区分度的变权灰色聚类 |
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| 引用本文： | 王正新,党耀国,刘思峰.基于白化权函数分类区分度的变权灰色聚类[J].统计与信息论坛,2011,26(6):23-27. |
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| 作者姓名： | 王正新 党耀国 刘思峰 |
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| 作者单位： | 1. 浙江师范大学经济与管理学院,浙江金华,321004
2. 南京航空航天大学经济与管理学院,江苏南京,210016 |
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| 基金项目： | 国家自然科学基金项目《基于灰色建模技术的城市道路交通事故预测及救援管理系统研究》，全国教育科学“十一五”规划青年课题《“十二五”期间中国大学生失业预警研究》 |
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| 摘 要： | 针对灰色聚类指标权重确定的问题,通过定义白化权函数的分类区分度来度量各指标对聚类对象的分类所作的贡献,并据此确定分类指标的权重。在此基础上,提出了变权灰色聚类方法。结果表明,该方法能够融合聚类对象的样本信息和专家的经验,有效确定不同聚类对象的各指标权重,且适用于聚类指标的量纲不同、数量级悬殊较大的情形。最后通过一个实例说明了变权灰色聚类的实用性和有效性。
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| 关 键 词： | 灰色聚类 变权 白化权函数 分类区分度 |
Grey Clusters with Variable Weights Based on the Classification Degree of the Whitening Weight Functions |
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| WANG Zheng-xin,DANG Yao-guo,LIU Si-feng.Grey Clusters with Variable Weights Based on the Classification Degree of the Whitening Weight Functions[J].Statistics & Information Tribune,2011,26(6):23-27. |
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| Authors: | WANG Zheng-xin DANG Yao-guo LIU Si-feng |
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| Affiliation: | 1.School of Economics and Management,Zhejiang Normal University,Jinhua 321004,China;2.School of Economics and Management,Nanjing University of Aeronautics and Astronautics,Nanjing 210016,China) |
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| Abstract: | Aiming at some issues of the weights to grey cluster indicators,this paper defines the classified degree to measure the contribution of all indicators to the classification in grey clusters,and accordingly determines the weights of classification indicators.On this basis,this paper proposes grey clusters with variable weights.The results show that this method can well integrate experience of the experts and the information of a cluster sample and can be applied in the situation that indicators for clustering have different meanings,dimensions,and sizes of observational data.Finally,an example is presented to illustrate the practicality and effectiveness of the method mentioned in this paper. |
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| Keywords: | grey clusters variable weights whitening weight function classification degree |
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