ISBN: 2895243034 9782895243038

Category: Business & Economics / Economics / General

Page count: 19

In the literature many indices were proposed to measure the degree of agreement, correlation or similarity between two preference systems expressed on a set of alternatives. It should however be noted that the majority of these indices were developed for the two following preference systems : i) Rating, i.e. assigning a score to each alternative and ii) ranking, i.e. a complete ordering of the alternatives with possibility of ties. 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). Note that the collective preorder is obtained from the aggregation of individual preorders by using a mathematical procedure. 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 preorders. 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.