数种Matlab相似函数和距离函数的建立及其在热带牧草研究中的应用

Matlab Implementation of Dozens of Similarity and Distance Functions and Their Applications

相似函数和距离函数广泛用于聚类分析、相似性分析及差异性分析中。不同的相似函数和距离函数其性质有所不同,可造成分析结果的差异。该研究为Matlab计算环境,生成了13种相似函数和距离函数:欧氏距离,Manhattan距离,契比雪夫距离,Jaccard系数,夹角余弦,联列系数,连关系数,点相关系数,四分相关系数,及变型夹角余弦等。通过实例,说明了一些函数的适用范畴与使用方法。用户可根据需要进行调用,或在此基础上扩充新的功能或函数。同时,给出了热带牧草应用实例。

Similarity functions and distance functions are widely used in cluster analysis, similarity analysis, and difference analysis. These functions have various mathematical forms and will yield different results. In this paper 13 similarity functions and distance functions were developed as Matlab functions. They can be used in various Matlab-based studies. Some applications of these functions were listed.