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 Garc´ıa-Lapresta and Perez-Rom ´ an, 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 A.
Methodology
;Conversano C.;D'Ambrosio A.Conceptualization
2019-01-01
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 Garc´ıa-Lapresta and Perez-Rom ´ an, 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.
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