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A characterization of concordance relations
Institution:1. Ifremer, MARBEC UMR 9190 (IRD, Ifremer, UM, CNRS), Avenue Jean Monnet, 34203 Sète, France;2. Ifremer, IHPE UMR 5244 (Univ. Perpignan Via Domitia, CNRS, Univ. Montpellier), 34095 Montpellier, France;3. Ifremer, MARBEC UMR 9190 (IRD, Ifremer, UM, CNRS), Chemin de Maguelone, 34250 Palavas-les-Flots, France;1. Department of Nutritional Sciences, Pennsylvania State University, University Park, PA;2. Epidemiology and Environmental Health, State University of New York at Buffalo, Buffalo, NY;3. Nutritional Physiology, National Institute of Medical Sciences and Nutrition Salvador Zubirán, Mexico City, Mexico;4. School of Medicine, University of Juárez at Durango, Durango, Mexico;5. Department of Toxicology, Center for Research and Advanced Studies of the National Polytechnic Institute, Mexico City, Mexico;6. Department of Pharmacology, Center for Research and Advanced Studies of the National Polytechnic Institute, Mexico City, Mexico;7. School of Natural Sciences, University of Querétaro and Center for Research and Technology Development in Chronic Diseases, CINDETEC, A.C., Querétaro, Mexico
Abstract:The notion of concordance is central to many multiple criteria techniques relying on ordinal information, e.g. outranking methods. It leads to compare alternatives by pairs on the basis of a comparison of coalitions of attributes in terms of “importance”. This paper proposes a characterization of the binary relations that can be obtained using such comparisons within a general framework for conjoint measurement that allows for intransitive preferences. We show that such relations are mainly characterized by the very rough differentiation of preference differences that they induce on each attribute.
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