Search results for " Weighted Kemeny distance"

showing 2 items of 2 documents

Consensus among preference rankings: a new weighted correlation coefficient for linear and weak orderings

2021

AbstractPreference data are a particular type of ranking data where some subjects (voters, judges,...) express their preferences over a set of alternatives (items). In most real life cases, some items receive the same preference by a judge, thus giving rise to a ranking with ties. An important issue involving rankings concerns the aggregation of the preferences into a “consensus”. The purpose of this paper is to investigate the consensus between rankings with ties, taking into account the importance of swapping elements belonging to the top (or to the bottom) of the ordering (position weights). By combining the structure of $$\tau _x$$ τ x proposed by Emond and Mason (J Multi-Criteria Decis…

Statistics and ProbabilityClass (set theory)Correlation coefficientApplied Mathematics02 engineering and technologyType (model theory)01 natural sciencesComputer Science ApplicationsSet (abstract data type)010104 statistics & probabilityRankingPosition (vector)StatisticsWeighted Rank correlation coefficient Weighted Kemeny distance Position weightsTies0202 electrical engineering electronic engineering information engineering020201 artificial intelligence & image processing0101 mathematicsSettore SECS-S/01 - StatisticaPreference (economics)MathematicsRank correlationAdvances in Data Analysis and Classification
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Consensus measures for preference rankings with ties: an approach based on position weighted Kemeny distance

2018

Preference data are a particular type of ranking data where some subjects (voters, judges, ...) give their preferences over a set of alternatives (items). It happens, in most of the real cases, that some items receive the same preference by a judge, giving raise to a ranking with ties. The purpose of our paper is to investigate on the consensus between rankings with ties taking into account the importance of swapping elements belonging to the top (or to the bottom) of the ordering (position weights). Combining the structure of the Taux proposed by Emond and Mason and the class of weighted Kemeny-Snell distances, we propose a position weighted rank correlation coefficient to compare rankings…

Weighted rank correlation Weighted Kemeny distance Position weights
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