This paper outlines a way for finding the consensus ranking minimizing the sum of the weighted Kemeny distance, using positional weights. The weighted Kemeny distance, introduced by Garcıa-Lapresta and Perez-Roman, meets the original Kemeny-Snell axioms and it is fully applicable in treating weak orderings. A differential evolution algorithm is ad-hoc defined in order to detect the consensus ranking, namely that ranking that best represents the preferences expressed by a set of individuals.
Detecting and interpreting the consensus ranking based on the weighted Kemeny distance / Baldassarre, Alessio; Conversano, Claudio; D'Ambrosio, Antonio. - (2019), pp. 57-60. ( 12th Scientific Meeting of the Classification and Data Analysis Group (CLADAG 2019) Università di Cassino 11-13 settembre 2019).
Detecting and interpreting the consensus ranking based on the weighted Kemeny distance
Antonio D'Ambrosio
2019
Abstract
This paper outlines a way for finding the consensus ranking minimizing the sum of the weighted Kemeny distance, using positional weights. The weighted Kemeny distance, introduced by Garcıa-Lapresta and Perez-Roman, meets the original Kemeny-Snell axioms and it is fully applicable in treating weak orderings. A differential evolution algorithm is ad-hoc defined in order to detect the consensus ranking, namely that ranking that best represents the preferences expressed by a set of individuals.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
