A family of distances for preference–approvals

Alessandro Albano (), José Luis García-Lapresta, Antonella Plaia () and Mariangela Sciandra ()
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Alessandro Albano: University of Palermo
Antonella Plaia: University of Palermo
Mariangela Sciandra: University of Palermo

Annals of Operations Research, 2023, vol. 323, issue 1, No 1, 29 pages

Abstract: Abstract A preference–approval on a set of alternatives consists of a weak order on that set and, additionally, a cut-off line that separates acceptable and unacceptable alternatives. In this paper, we propose a new method for defining the distance between preference–approvals taking into account jointly the disagreements in preferences and approvals for each pair of alternatives. The proposed distance is compared to the existing distance functions to deal with clustering problems. Specifically, we prove that our metric improves the estimated clusters in terms of both stability and accuracy.

Keywords: Preferences; Approval voting; Preference–approvals; Distances; Clustering (search for similar items in EconPapers)
Date: 2023
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DOI: 10.1007/s10479-022-05008-4

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