On the similarity metric and the distance metric
On the similarity metric and the distance metric
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DOI：
10.1016/j.tcs.2009.02.023
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发表时间：
2009-05-28
影响因子：
1.1
通讯作者：
Zhang, Kaizhong
中科院分区：
文献类型：
--
作者：
Chen, Shihyen;Ma, Bin;Zhang, Kaizhong
相似性和相异性度量在许多研究领域和应用中有着广泛的应用。当使用相异性度量时，通常要求它是距离度量。然而，当使用相似性度量时，没有正式的要求。在这篇文章中，我们有三个贡献。首先，我们给出了相似度量的形式化定义。其次，我们展示了相似性度量和距离度量之间的关系。第三，我们提出了一般的解决方案，规范化一个给定的相似性度量或距离度量。(C)2009爱思唯尔有限公司版权所有。
Similarity and dissimilarity measures are widely used in many research areas and applications. When a dissimilarity measure is used, it is normally required to be a distance metric. However, when a similarity measure is used, there is no formal requirement. In this article, we have three contributions. First, we give a formal definition of similarity metric. Second, we show the relationship between similarity metric and distance metric. Third, we present general solutions to normalize a given similarity metric or distance metric. (C) 2009 Elsevier B.V. All rights reserved.