An Agreement Index with Respect to a Consensus Preorder

Khaled Jabeur () and Jean-Marc Martel ()
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Khaled Jabeur: Institut Supérieur de Commerce et de Comptabilité de Bizerte (ISCCB)
Jean-Marc Martel: Université Laval

Group Decision and Negotiation, 2010, vol. 19, issue 6, No 3, 590 pages

Abstract: Abstract In this paper, we propose an index to measure the agreement level of an individual preorder with respect to a collective preorder (or reference preorder). The originality of the proposed index consists in the two following facts: (i) it quantifies the agreement level between two preorders which are not necessarily complete (i.e. they may include the incomparability relation), a preference system rarely tackled in the literature and (ii) it takes into account the positions of the alternatives in the individual preorder. The proposed index is then used to compute, within the framework of a consensus preorder research, the agreement level of all group’s members with respect to a collective preorder.

Keywords: Group decision-making; Interactive decision-making; Distance measure; Agreement level; Relative importance of the alternatives; Binary relations; Preorder (search for similar items in EconPapers)
Date: 2010
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Citations: View citations in EconPapers (3)

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DOI: 10.1007/s10726-009-9160-3

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