Elicitation of Criteria Weights Maximising the Stability of Pairwise Outranking Statements

We propose an indirect approach for assessing criteria-importance weights from overall outranking statements that a decision maker may acknowledge in a multiple-criteria decision aid process. Our approach takes advantage of the bipolar characteristic valuation of the overall outranking and the stability of its associated median-cut, crisp outranking relation. Numerical criteria-importance weights are inferred with the help of a mixed-integer linear programming model for which we present tests results under different configurations and tunings. Copyright © 2013 John Wiley & Sons, Ltd.

[1]  Patrick Meyer,et al.  RUBIS: a bipolar-valued outranking method for the choice problem , 2008, 4OR.

[2]  E. Triantaphyllou,et al.  A Sensitivity Analysis Approach for Some Deterministic Multi-Criteria Decision-Making Methods* , 1997 .

[3]  R. Bisdorff On Polarizing Outranking Relations with Large Performance Differences , 2013 .

[4]  Vicente Liern,et al.  A fuzzy method to repair infeasibility in linearly constrained problems , 2001, Fuzzy Sets Syst..

[5]  Luis C. Dias,et al.  Resolving inconsistencies among constraints on the parameters of an MCDA model , 2003, Eur. J. Oper. Res..

[6]  Luis C. Dias,et al.  An algorithm for ordinal sorting based on ELECTRE with categories defined by examples , 2008, J. Glob. Optim..

[7]  Patrick Meyer,et al.  Analyse inverse robuste à partir dinformations préférentielles partielles , 2010 .

[8]  J. Siskos Assessing a set of additive utility functions for multicriteria decision-making , 1982 .

[9]  Raymond Bisdorff,et al.  Logical Foundation of Multicriteria Preference Aggregation , 2002 .

[10]  Michel Grabisch,et al.  A review of methods for capacity identification in Choquet integral based multi-attribute utility theory: Applications of the Kappalab R package , 2008, Eur. J. Oper. Res..

[11]  Salvatore Greco,et al.  Ordinal regression revisited: Multiple criteria ranking using a set of additive value functions , 2008, Eur. J. Oper. Res..

[12]  Patrick Meyer,et al.  Disaggregation of Bipolar-Valued Outranking Relations , 2008, MCO.

[13]  Vincent Mousseau,et al.  Inferring an ELECTRE TRI Model from Assignment Examples , 1998, J. Glob. Optim..

[14]  Luis C. Dias,et al.  Dealing with inconsistent judgments in multiple criteria sorting models , 2006, 4OR.

[15]  Raymond Bisdorff,et al.  Concordant outranking with multiple criteria of ordinal significance , 2004, 4OR.

[16]  Luis C. Dias,et al.  Valued outranking relations in ELECTRE providing manageable disaggregation procedures , 2004, Eur. J. Oper. Res..

[17]  Bernard Roy,et al.  Aide multicritère à la décision : méthodes et cas , 1993 .

[18]  Gary M. Roodman Note—Post-Infeasibility Analysis in Linear Programming , 1979 .

[19]  Patrick Meyer,et al.  Inverse Analysis from a Condorcet Robustness Denotation of Valued Outranking Relations , 2009, ADT.

[20]  Matthias Ehrgott,et al.  Multiple criteria decision analysis: state of the art surveys , 2005 .

[21]  Luis C. Dias,et al.  Inferring Electre's veto-related parameters from outranking examples , 2006, Eur. J. Oper. Res..

[22]  Patrick Meyer,et al.  RuBy : a bipolar-valued outranking method for the best choice decision problem , 2006 .

[23]  José Rui Figueira,et al.  Using assignment examples to infer weights for ELECTRE TRI method: Some experimental results , 2001, Eur. J. Oper. Res..

[24]  Luis C. Dias,et al.  IRIS: a DSS for multiple criteria sorting problems , 2003 .

[25]  L. Dias,et al.  ELECTRE TRI for Groups with Imprecise Information on Parameter Values , 2000 .