A collective choice method based on individual preferences relational systems (p.r.s.) |
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Authors: | Khaled Jabeur Jean-Marc Martel |
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Affiliation: | Faculté des sciences de l’administration, Université Laval, Operation and System Decision, Pavillon Palasis-Prince, Ste-Foy, (Qc), Canada G1K 7P4 |
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Abstract: | In group decision-making literature, several procedures are proposed in order to establish a collective preference from the different individual ones. The majority of these procedures, however, reveal that the individual preferences are always expressed in total pre-orders (or ranking). Indeed, until now very few have considered individual preferences which are expressed in partial pre-orders or, more generally, in preferences relational systems (p.r.s.). Moreover, many of these procedures generate collective preferences which are expressed in total pre-orders (ranking decision-making problematic). The efforts reported in the literature to develop procedures which treat other decision-making problematics—such as choice problematic—remain insufficient. In this paper, we propose a method which would determine from individual p.r.s. at least one collective subset containing the “best” alternatives. Each of these collective subsets results from the exploitation—according to the choice problematic—of a collective p.r.s. obtained from the aggregation of the individual p.r.s. Furthermore, each collective p.r.s. has two main characteristics: (i) it is at a minimum distance from all individual p.r.s. and (ii) it takes into account the members’ relative importance. |
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Keywords: | Distance measure Binary relations Preference aggregation Preferences relational system Exploitation Kernel Quasi-kernel Decision-making problematic Consensus |
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