ELECTRE TRI for Groups with Imprecise Information on Parameter Values

ELECTRE TRI is a well-known method to assign actions to predefined ordered categories, considering multiple criteria. Using this method requires setting many parameters, which is often a difficult task. We consider the case where a group of Decision Makers (DMs) is unsure of which values each parameter should take, which may result from insufficient, imprecise or contradictory information, as well as from lack of consensus among the group members. In a framework where DMs provide constraints bounding and interrelating the parameter values, rather than fixing precise figures, we discuss the problem of finding the best and worst category that each action may attain.

[1]  H. Raiffa.  The art and science of negotiation , 1983 .

[2]  V. F. Dem'yanov,et al.  Nondifferentiable Optimization , 1985 .

[3]  Gordon B. Hazen,et al.  Partial Information, Dominance, and Potential Optimality in Multiattribute Utility Theory , 1986, Oper. Res..

[4]  Martin Weber.  Decision Making with Incomplete Information , 1987 .

[5]  Bernard Roy,et al.  Main sources of inaccurate determination, uncertainty and imprecision in decision models , 1989 .

[6]  C. Lemaréchal.  Nondifferentiable optimization , 1989 .

[7]  B. Roy.  THE OUTRANKING APPROACH AND THE FOUNDATIONS OF ELECTRE METHODS , 1991 .

[8]  David Avis,et al.  A pivoting algorithm for convex hulls and vertex enumeration of arrangements and polyhedra , 1991, SCG '91.

[9]  Simon French,et al.  A FRAMEWORK FOR SENSITIVITY ANALYSIS IN DISCRETE MULTI OBJECTIVE DECISION MAKING , 1991 .

[10]  Carlos Henggeler Antunes,et al.  Sensitivity analysis in MCDM using the weight space , 1992, Oper. Res. Lett..

[11]  R. Horst,et al.  Global Optimization: Deterministic Approaches , 1992 .

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

[13]  Vincent Mousseau.  Problèmes liés à l'évaluation de l'importance relative des critères en aide multicritère à la décision : réflexions théoriques, expérimentations et implémentations informatiques , 1993 .

[14]  Simon French,et al.  Uncertainty and Imprecision: Modelling and Analysis , 1995 .

[15]  Philippe Vincke,et al.  Measuring credibility of compensatory preference statements when trade-offs are interval determined , 1995 .

[16]  Antreas D. Athanassopoulos,et al.  Dominance and potential optimality in multiple criteria decision analysis with imprecise information , 1997 .

[17]  Soung Hie Kim,et al.  Group decision making procedure considering preference strength under incomplete information , 1997, Comput. Oper. Res..

[18]  João Paulo Costa,et al.  Conflicting criteria, cooperating processors - some experiments on implementing a multicriteria decision support method on a parallel computer , 1997, Comput. Oper. Res..

[19]  L. Vandenberghe,et al.  Quasiconvex Optimization and Location Theory , 1998 .

[20]  Bernard Roy,et al.  A missing link in OR-DA : robustness analysis , 1998 .

[21]  G. T. Timmer,et al.  Global Optimization , 1999, Science.

[22]  Luis C. Dias,et al.  On computing ELECTRE's credibility indices under partial information , 1999 .

[23]  Roman Słowiński,et al.  ELECTRE TRI 2.0a : Methodological guide and user's documentation , 1999 .