Measures and Admissibilities for the Structure of Clustering

Akinobu Takeuchi, Hiroshi Yadohisa and Koichi Inada
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Akinobu Takeuchi: Rikkyo (St. Paul’s) University, College of Social Relations
Hiroshi Yadohisa: Kagoshima University, Department of Mathematics and Computer Science
Koichi Inada: Kagoshima University, Department of Mathematics and Computer Science

A chapter in Measurement and Multivariate Analysis, 2002, pp 261-268 from Springer

Abstract: Summary The problem of selecting a clustering algorithm from the myriad of algorithms has been discussed in recent years. Many researchers have attacked this problem by using the concept of admissibility (e.g. Fisher and Van Ness, 1971, Yadohisa, et al., 1999). We propose a new criterion called the “structured ratio” for measuring the clustering results. It includes the concept of the well-structured admissibility as a special case, and represents some kind of “goodness-of-fit” of the clustering result. New admissibilities of the clustering algorithm and a new agglomerative hierarchical clustering algorithm are also provided by using the structured ratio. Details of the admissibilities of the eight popular algorithms are discussed.

Keywords: Cluster Result; Dispersion Measure; Popular Algorithm; Agglomerative Hierarchical Cluster Algorithm; Cluster Dispersion (search for similar items in EconPapers)
Date: 2002
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-4-431-65955-6_28

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DOI: 10.1007/978-4-431-65955-6_28

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