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.

Albano, A., García-Lapresta, J.L., Plaia, A., Sciandra, M. (2022). A family of distances for preference–approvals. ANNALS OF OPERATIONS RESEARCH [10.1007/s10479-022-05008-4].

A family of distances for preference–approvals

Albano, Alessandro
;
Plaia, Antonella;Sciandra, Mariangela
2022-01-01

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.
2022
Settore SECS-S/01 - Statistica
Albano, A., García-Lapresta, J.L., Plaia, A., Sciandra, M. (2022). A family of distances for preference–approvals. ANNALS OF OPERATIONS RESEARCH [10.1007/s10479-022-05008-4].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10447/570146
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