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An agglomerative method for automatic forming of hierarchical classification
Applications of Mathematics, Tome 20 (1975) no. 3, pp. 186-205
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First some new concepts are introduced (extension of the similarity-function, similarity-measure, transitive sets) which facilitate the study of hierarchical classifications. Then an algorithm for forming hierarchical classifications with "good properties" is sketched. Finally, this procedure of classification is described in detail and represented by flowcharts. Theoretical justification of the method is given in Theorems 1 to 4 which show the connection between the properties of transitive sets and hierarchical classifications. Practical use of the method requires a concrete choice of the similarity-function as well as the data given in the corresponding form.
First some new concepts are introduced (extension of the similarity-function, similarity-measure, transitive sets) which facilitate the study of hierarchical classifications. Then an algorithm for forming hierarchical classifications with "good properties" is sketched. Finally, this procedure of classification is described in detail and represented by flowcharts. Theoretical justification of the method is given in Theorems 1 to 4 which show the connection between the properties of transitive sets and hierarchical classifications. Practical use of the method requires a concrete choice of the similarity-function as well as the data given in the corresponding form.
DOI : 10.21136/AM.1975.103583
Classification : 62H30, 68A45, 68T10, 68W99 
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Fučík, Josef. An agglomerative method for automatic forming of hierarchical classification. Applications of Mathematics, Tome 20 (1975) no. 3, pp. 186-205. doi: 10.21136/AM.1975.103583

[1] I. C. Lerman: Les bases de la classification automatique. Paris, 1970. | MR | Zbl

[2] P. Macnaughton, Smith: Some statistical and other numerical techniques for classifying individuals. Home Office Research Unit Report, s 1 - 31. London, 1965.

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