关键词: 加权主成分距离, 聚类分析, 分类

Abstract: Traditional clustering analysis method is often unable to obtain the good classification result because of correlations among indexes and difference in indexes’ importance. This paper discusses the limitations of traditional clustering analysis method and the various improved methods, and reconstructs the concept of distance in classification by using the mathematical methods. Through defining the principal component distance of objective weighting as the classification statistic, it puts forward a new improved principal component clustering analysis method——the clustering analysis method of weighted principal component distance. Theoretical study shows that the new method is scientific rational and integrates the advantages of existing methods. The simulation result shows that the new method can effectively solve the problem of the failure of the existing clustering analysis methods in the specific circumstances, and has satisfactory classification effect.

Key words: Weighted Principal Component Distance, Clustering Analysis, Classification