Please use this identifier to cite or link to this item: http://hdl.handle.net/10419/62673
Authors: 
Takeuchi, Akinobu
Yadohisa, Hiroshi
Inada, Koichi
Year of Publication: 
2001
Series/Report no.: 
Discussion Papers, Interdisciplinary Research Project 373: Quantification and Simulation of Economic Processes 2001,78
Abstract: 
This paper discusses the admissibility of agglomerative hierarchical clustering algorithms with respect to space distortion and monotonicity, as defined by Yadohisa et al. and Batagelj, respectively. Several admissibilities and their properties are given for selecting a clustering algorithm. Necessary and sufficient conditions for an updating formula, as introduced by Lance and Williams, are provided for the proposed admissibility criteria. A detailed explanation of the admissibility of eight popular algorithms is also given.
Subjects: 
monotonicity
admissibility
AHCA (agglomerative hierarchical clustering algorithm)
space distortion
Persistent Identifier of the first edition: 
Document Type: 
Working Paper

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