The median procedure for n-trees |
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Authors: | Jean-Pierre Barthélemy F. R. McMorris |
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Affiliation: | (1) Ecole Nationale Supérieure des Télécommunications, 46 rue Barrault, 75634 Paris, Cedex 13, France;(2) Division of Mathematical Sciences, Office of Naval Research, 22217-5000 Arlington, VA, USA |
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Abstract: | Let (X,d) be a metric space The functionM:Xk 2x defined by is the minimum } is called themedian procedure and has been found useful in various applications involving the notion of consensus Here we present axioms that characterizeM whenX is a certain class of trees (hierarchical classifications), andd is the symmetric difference metricWe would like to thank the referees and Editor for helpful comments |
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Keywords: | n-Trees Consensus Median procedure Majority rule |
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