Journal of Applied Statistics and Management. 2014, (04) Core

Hierarchy Clustering Analysis of Interval Data based on Hausdorff DistanceChinese Full Text

GUO Jun-peng;TAN Zhi-hui;DENG Deng;College of Management and Economics,Tianjin University;

Abstract: An interval being seen as a compact set,the distance between two interval numbers is defined based on Hausdorff distance which is used to define a distance between two compact sets.Furthermore,the distance between two interval vectors and two clusters were studied.To avoid the impact of different scales of the sample data,the normalization of interval data were studied.Based on this,the hierarchy clustering algorithm of interval data was proposed.A simulation study was conducted to evaluate our method.The results show that the method based on Hausdorff distance presented in the paper performs better than on Euclidean distance under all the situations designed in the simulation.Finally,an example of clustering several types of animals according to their heights and weights is given,where the interval data were achieved by the theory of symbolic data analysis.

Keywords：

interval data; clustering analysis; Hausdorff distance;

DOI：
10.13860/j.cnki.sltj-20140722-022
Series：
Subject：
Classification Code：
TP311.13

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Hierarchy Clustering Analysis of Interval Data based on Hausdorff DistanceChinese Full Text

GUO Jun-peng;TAN Zhi-hui;DENG Deng;College of Management and Economics,Tianjin University;

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