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Öğe CONSENSUS IN PREFERENCE-APPROVALS: A WEIGHTED DISTANCE APPROACH(World Scientific Publ Co Pte Ltd, 2012) Garcia-Lapresta, J. L.; Perez-Roman, D.; Erdamar, B.; Sanver, M. R.Measuring consensus level for a set of preferences requires a proper distance defined on the considered domain. We focus on preference-approvals which are extensions of ordinal preferences by the approval information. For any given set of alternatives, a preference-approval is defined by a weak ordering of the alternative set, subsets of approved and disapproved alternatives and a consistency condition. We propose a method of using weighted distances for ordering and approval components. A consensus measure based on this distance is provided which is sensitive to the position of the disagreements on ordering and approval.
