A transfer algorithm for hierarchical clustering |
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Authors: | Martin Schader |
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Institution: | Institut für Statistik und Mathematische Wirtschaftstheorie, Universität Augsburg, 8900 Augsburg, West-Germany |
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Abstract: | Transfer algorithms are usually used to optimize an objective function that is defined on the set of partitions of a finite set X. In this paper we define an equivalence relation ? on the set of fuzzy equivalence relations on X and establish a bijection from the set of hierarchies on X to the set of equivalence classes with respect to ?. Thus, hierarchies can be identified with fuzzy equivalence relations and the transfer algorithm can be modified in order to optimize an objective function that is defined on the set of hierarchies on X. |
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Keywords: | Classification hierarchical clustering transfer algorithm fuzzy equivalence relation |
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