On the Classification and Aggregation of Hierarchies with ifferent Constitutive Elements

  • Authors:
  • Liviu P. Dinu

  • Affiliations:
  • Bucharest University, Faculty of Mathematics, Academiei 14, RO-70109, Bucharest, Romania

  • Venue:
  • Fundamenta Informaticae
  • Year:
  • 2003

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Abstract

In this paper we present an aggregation method which can be applied to classifications having different vocabularies. The method uses the rank distance (Dinu, 2003), a metric which measures the similarity between two hierarchies based on the ranks of objects. We define the aggregation of n hierarchies as the classification for which the sum of distances from it to each of the n hierarchies is minimal. We study some of his rationality properties and propose some open problems.