Inverse Analysis from a Condorcet Robustness Denotation of Valued Outranking Relations

  • Authors:

  • Raymond Bisdorff;Patrick Meyer;Thomas Veneziano

  • Affiliations:

  • Faculty of Sciences, Technology, and Communication Computer Science and Communications Research Unit Interdisciplinary Lab for Intelligent and Adaptive Systems, University of Luxembourg, Luxembour ...;Institut Télécom, Télécom Bretagne, UMR CNRS 3192 Lab-STICC, Technopôle Brest Iroise CS 83818, Brest Cedex 3, France F-29238 and Université européenne de Bretagn ...;Faculty of Sciences, Technology, and Communication Computer Science and Communications Research Unit Interdisciplinary Lab for Intelligent and Adaptive Systems, University of Luxembourg, Luxembour ...

  • Venue:
  • ADT '09 Proceedings of the 1st International Conference on Algorithmic Decision Theory
  • Year:
  • 2009

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Abstract

In this article we develop an indirect approach for assessing criteria significance weights from the robustness of the significance that a decision maker acknowledges for his pairwise outranking statements in a Multiple Criteria Decision Aiding process. The main result consists in showing that with the help of a mixed integer linear programming model this kind of a priori knowledge is sufficient for estimating adequate numerical significance weights.