An Interactive Approach Determining the Indifference Thresholds in Promethee II

• Autorzy: Hela Moalla Frikha , Habib Chabchoub , Jean-Marc Martel
• Języki publikacji: EN

Abstrakty

EN

The implementation of most multi-criteria decision aid methods requires fixing of certain parameters in order to model the decision-maker's preferences. The fixing of these parameter values must be naturally done with the decision-maker's collaboration. The parameter determination constitutes an important task, which is generally quite delicate and difficult to accomplish, for the decision-maker. In fact, the information provided at this level is inevitably subjective and partial. In this paper, we intend to determine the values of the indifference thresholds associated to usual and quasi criterion in PROMETHEE, by exploiting the information provided by the decision-maker and by using mathematical programming. (original abstract)

Słowa kluczowe

EN

Multicriteria analysis

PL

Analiza wielokryterialna

• Czasopismo: Multiple Criteria Decision Making / University of Economics in Katowice
• Rocznik: 2011
• Tom: 6
• Strony: 50--66

Twórcy

autor

Hela Moalla Frikha

• Université de Sfax, Tunisia

autor

Habib Chabchoub

• Université de Sfax, Tunisia

autor

Jean-Marc Martel

• Université Laval, Canada

Bibliografia

• Bous G., Fortemps P., Glineur F. and Pirlot M. (2010): ACUTA: A Novel Method for Eliciting Additive Value Functions on the Basis of Holistic Preference Statements. "European Journal of Operational Research", 206, pp. 435-444.
• Brans J.P. and Vincke Ph. (1985): A Preference Ranking Organization Method: The PROMETHEE Method. "Management Science", 31, pp. 647-656.
• Devaud J.M., Groussaud G. and Jacquet-Lagrèze E. (1980): UTADIS: une méthode de construction de fonctions d'utilité additives rendant compte de jugements globaux. European Working Group on Multicriteria Decision Aid, Bochum.
• Dias L.C. and Mousseau V. (2006): Inferring ELECTRE's Veto Related Parameters from Outranking Examples. "European Journal of Operational Research", 170, pp. 172-191.
• Figueira J.R., Greco S. and Slowinski R. (2009): Building a Set of Additive Value Functions Representing a Reference Pre-order and Intensities of Preference: GRIP Method. "European Journal of Operational Research", 195, pp. 460-486.
• Frikha H.M., Chabchoub H., and Martel J.M. (2010): Inferring Criteria's Relative Importance Coefficients in PROMETHEE II. "International Journal of Operational Research", 7, pp. 257-275.
• Geoffrion A.M., Dyer J.S. and Feinberg A. (1972): An Interactive Approach for Multi- -Criterion Optimization with An Application to the Operation of An Academic Department. Management Science, 19, pp. 357-368.
• Greco S., Mousseau V. and Slowinski R. (2008): Ordinal Regression Revisited: Multiple Criteria Ranking Using a Set of Additive Value Functions. "European Journal of Operational Research", 191, pp. 416-436.
• Greco S., Mousseau V. and Slowinski R. (2010): Multiple Criteria Sorting With a Set of Additive Value Functions. "European Journal of Operational Research".
• Jacquet-Lagreze E. (1979): De la logique d'agrégation des critères à une logique d'agrégation-désagrégation de préférences et de jugements. Cahiers de l'ISMEA - série Sciences de Gestion, 13, pp. 839-859.
• Jacquet-Lagrèze E., Meziani R. and Slowinski R. (1987): MOLP with an Interactive Assessment of a Piecewise Linear Utility Function. "European Journal of Operational Research", 31, pp. 350-357.
• Jacquet-Lagrèze E. and Siskos Y. (1982): Assessing a Set of Additive Utility Functions for Multicriteria Decision Making: The UTA Method. "European Journal of Operational Research", 10, pp. 151-164.
• Kiss L.N., Martel J.M. and Nadeau R. (1994): An Interactive Software for Modeling the Decision Maker's Preferences. Decision Support Systems, 12, pp. 311-326.
• Köksalan M. and Özpeynirci S.B. (2009): An Interactive Sorting Method for Additive Utility Functions. "Computers and Operations Research", 36, pp. 2565-2572.
• Mousseau V., Figueira J. and Naux J.P. (2001): Using Assignment Examples to Infer Weights for ELECTRE TRI Method: Some Experimental Results. "European Journal of Operational Research", 130, pp. 263-275.
• Mousseau V. and Slowinski R. (1998): Inferring an ELECTRE TRI Model from Assignment Examples. "Journal of Global Optimization », 12, pp. 157-174.
• Ngo The A. and Mousseau V. (2002): Using Assignment Examples to Infer Category Limits for the ELECTRE TRI Method. "Journal of Multi-Criteria Decision Analysis", 11, pp. 29-43.
• Richard J.L. (1981): Procédure multicritère d'aide à la décision en matière d'audit de stratégie: cas des moyennes et petites industries. Thèse de 3ème cycle, Université de Paris Dauphine, Paris.
• Siskos J. (1983): Analyse de systèmes de décision multicritère en univers aléatoire. "Foundations of Control Engineering", 8, pp. 193-212.
• Siskos J. (1980): Comment modéliser les préférences au moyen de fonctions d'utilité additives. "RAIRO Recherche Opérationnelle", 14, pp. 53-82.
• Siskos J. and Despotis D.K. (1989): A DSS Oriented Method for Multiobjective Linear Programming Problems. "Decision Support Systems", 5, pp. 47-55.
• Stewart T.J. (1987): Pruning of Decision Alternatives in Multiple Criteria Decision Making, Based on the UTA Method for Estimating Utilities. "European Journal of Operational Research", 28, pp. 79-88.
• Tangian A. (2001): Constructing a Monotonic Quadratic Objective Function in n Variables from a Few 2-Dimensional Indifferences. "European Journal of Operational Research", 130, pp. 276-304.
• Zionts S. and Wallenius J. (1976): An Interactive Programming Method for Solving the Multiple Criteria Problem. "Management Science », 22, pp. 652-663.