| 多维标度法在亲属关系中的应用 |
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| 引用本文： | 刘莎,马江洪,刘东航.多维标度法在亲属关系中的应用[J].数学的实践与认识,2014(15). |
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| 作者姓名： | 刘莎 马江洪 刘东航 |
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| 作者单位： | 长安大学理学院;西安煤矿机械有限公司产品设计研究院; |
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| 基金项目： | 国家自然科学基金(11261044) |
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| 摘 要： | 简单地介绍了多维标度方法的原理及理论,并介绍了加权多维标度方法的理论及原理,对亲属关系亲密的程度采用多维标度法进行了分析,展示了15种亲属关系可分为五大类,并由此得到在人们心中亲属的分类情况,根据这些分类来解释一些亲属间的关系,理解人际关系中的一些社会现象,帮助缓和彼此之间的一些矛盾.
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| 关 键 词： | 多维标度法 感知图 相似系数阵 非度量MDS |
An Application of Multidimensional Scaling in Relatives Relationship |
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| Abstract: | This article simply introduces the principle and the theory of multidimensional scaling method,what's more introduces the theory and the principle of weighted multidimensional scaling method.The degree of relationship was analyzed using this method.The result shows that the 15 kinds of relation can be divided into five types,and we can obtain the classification of relatives in people's minds.According to these classifi itions,we can explain some relation among relatives,understand the phenomena of social relationships,and help mitigate some of the contradiction between each other. |
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| Keywords: | Multidimensional scaling method perception diagram similarity coefficient matrix the measurements of MDS |
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