Abstract

Geometrical representation of objects by means of tree models is based on order relations of the interdistances between the individuals that constitute the classifying set as a whole. Therefore, in this paper we show the pseudocontinuity of some classification methods that satisfy certain regularity conditions based on the conservation of the order in hierarchy construction. Finally, we prove that the required regularity conditions are not restrictive in excess and are accomplished among other methods for single linkage method, complete linkage method and UPGMA method.

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