Generalized medians

Authors:
C. Calvo;T. Mesiar
Affiliations:
Department of Mathematics and Computer Science, University of the Balearic Islands. Ctra. de Vallldemossa. km 7.5, 07071 Palma de Mallorca, Spain;Department of Mathematics, Slovak Technical University, Radlinského 11. 81368 Bratislava. Slovak Republic and Institute of Information Theory and Automation, Academy of Sciences of the Czec ...
Venue:
Fuzzy Sets and Systems
Year:
2001

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Abstract

Distance aggregation operators are introduced. In the case of singleton based distance, a well-known class of k-medians is recovered. For interval based distance, characterization of (p, r)-distance aggregation operators is given in general, as well as for idempotent operators. Based on the triangle Δ of median factors, Δ-medians are introduced. OWA operators are shown to be a linear convex combination of special Δj-medians.