2017
DOI: 10.1016/j.dss.2017.03.006
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Utopia in the solution of the Bucket Order Problem

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Cited by 25 publications
(33 citation statements)
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“…However, by definition the solution to the RAP must be a permutation. Because of this, the third method we consider looks for the solution of a different problem, the optimal bucket order problem (OBOP; Aledo et al, ; Gionis et al, ; Ukkonen et al, ), where the solution is a bucket order or complete ranking with ties, that is, an ordered partition of [[n]].…”
Section: Methods For Computing the Consensus Rankingmentioning
confidence: 99%
See 1 more Smart Citation
“…However, by definition the solution to the RAP must be a permutation. Because of this, the third method we consider looks for the solution of a different problem, the optimal bucket order problem (OBOP; Aledo et al, ; Gionis et al, ; Ukkonen et al, ), where the solution is a bucket order or complete ranking with ties, that is, an ordered partition of [[n]].…”
Section: Methods For Computing the Consensus Rankingmentioning
confidence: 99%
“…Then, recursive calls are carried out for the lists before and after . The Achilles heel of BPA is the random selection of the pivot (Aledo et al, ); thus, it is usually run several times and the best bucket order obtained is returned.…”
Section: Methods For Computing the Consensus Rankingmentioning
confidence: 99%
“…We highlight the introduction of effective pruning techniques reducing the number of rankings for which we need to compute the cost associated with a closest profile of rankings for which is the acclaimed ranking. Another reasonable possibility would be to adopt a heuristic approach that would speed up the computation time of our proposed ranking rule, although some voters could feel deceived if a (slighlty) different outcome than the optimal one would be obtained.…”
Section: Conclusion and Open Problemsmentioning
confidence: 99%
“…to one. The so-called optimal bucket order problem (Gionis et al, 2006;Ukkonen et al, 2009;Kenkre et al, 2011;Aledo et al, 2017b), i.e., dealing with rank aggregation while allowing ties in the solution, is a recent description of the problem originally stateci by Kemeny and Snell (1962) when defined the median ranking. Within the Kemeny's axiomatic approach, both exact (Emond and Mason, 2002) and heuristic algorithms (Amadio et al, 2016;D'Ambrosia et al, 2017) have been proposed.…”
Section: Kemeny Distance and Median Rankingmentioning
confidence: 99%
“…The rank aggregation problem has been approached using several different approaches, some of which work only when complete rankings are used as the input and produce an output that is a full con sensus ranking (Meila et al, 2007;Aledo et al, 2013;D'Ambrosia et al, 2015). Other proposals work with complete, tied and partial rankings and produce an out put solution that either can contain ties (Emond and Mason, 2002;Gionis et al, 2006;Lin and Ding, 2009;Ukkonen et al, 2009;Lin, 2010;Amodio et al, 2016;D'Ambrosia et al, 2017;Aledo et al, 2017b) or cannot contain ties ( Aledo et al, 2017a;Badal and Das, 2018). By following the classification made by Cook (2006), there are two broad classes of approaches to consensus ranking: the so-called ad hoc methods, which are generally based on counting such as Borda or Condorcet-like tools, and the distance-based approaches, for which the detection of the consensus ranking is based on the minimization of a distance measure that is suitably defined for preference rankings.…”
Section: Introductionmentioning
confidence: 99%