A collective choice method based on individual preferences relational systems

A collective choice method based on individual preferences relational systems

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Article ID: iaor20084438
Country: Netherlands
Volume: 177
Issue: 3
Start Page Number: 1549
End Page Number: 1565
Publication Date: Mar 2007
Journal: European Journal of Operational Research
Authors: ,
Keywords: decision: studies, decision theory: multiple criteria
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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