ELECTRE methods with interaction between criteria: An extension of the concordance index

European Journal of Operational Research

Volumn 199, Issue 2, 2009, Pages 478-495

  Figueira, José Rui ^a,c   Greco, Salvatore ^b   Roy, Bernard ^c  

^a INSTITUTO SUPERIOR TÉCNICO   (Portugal)

^b UNIVERSITY OF CATANIA   (Italy)

^c UNIVERSITÉ PARIS DAUPHINE   (France)

Author keywords

Choquet integral; Interaction between criteria; Multicriteria analysis; Outranking methods

Indexed keywords

INTEGRAL EQUATIONS;

CHOQUET INTEGRAL; CONCORDANCE INDEX; DECISION AIDING; ELECTRE METHODS; GENERALIZED INDEX; INTERACTION BETWEEN CRITERION; MULTI CRITERIA ANALYSIS; OUTRANKING METHODS;

DECISION SUPPORT SYSTEMS;

EID: 67349237445     PISSN: 03772217     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ejor.2008.11.025     Document Type: Article

References (31)

1. Bana e Costa C., and Vansnick J. MACBETH - An interactive path towards the construction of cardinal value functions. International Transactions in Operational Research 1 (1994) 489-500
2. Bana e Costa, C., De Corte, J.M., Vansnick, J.C., 2005. On the mathematical foundations of MACBETH. In: Figueira, J., Greco, S., Ehrgott, M. (Eds.), Multiple Criteria Decision Analysis: The State of the Art Surveys. Springer Science, Business Media Inc., New York, pp. 409-442.
3. Bisdorff R. Logical foundation of multicriteria preference aggregation. In: Bouyssou D., Jacquet-Lagrèze E., Perny P., Słowiński R., Vanderpooten D., and Vincke Ph. (Eds). Aiding Decisions with Multiple Criteria: Essays in Honour of Bernard Roy (2001), Kluwer Academic Publishers, Dordrecht 379-403
4. Choquet G. Theory of capacities. Annales de l'Institut Fourier 5 (1953) 131-295
5. Edwards W. How to use multiple attribute utility measurement for social decision-making. IEEE Transactions on Systems Man and Cybernetics SMC-7 5 (1977) 326-340
6. Figueira J., and Roy B. Determining the weights of criteria in the ELECTRE type methods with a revised Simos' procedure. European Journal of Operational Research 139 (2002) 317-326
7. In: Figueira J., Greco S., and Ehrgott M. (Eds). Multiple Criteria Decision Analysis: The State of the Art Surveys (2005), Springer Science, Business Media Inc., New York
8. Figueira J., Mousseau V., and Roy B. ELECTRE methods. In: Figueira J., Greco S., and Ehrgott M. (Eds). Multiple Criteria Decision Analysis: The State of the Art Surveys (2005), Springer Science, Business Media Inc., New York 133-162
9. Grabisch M. The application of fuzzy integrals in multicriteria decision making. European Journal of Operational Research 89 (1996) 445-456
10. Grabisch, M., Labreuche, C., 2005a. Fuzzy measures and integrals in MCDA. In: Figueira, J., Greco, S., Ehrgott, M. (Eds.), Multiple Criteria Decision Analysis: The State of the Art Surveys, Springer Science, Business Media Inc., New York, pp. 563-608.
11. Grabisch M., and Labreuche C. Bi-capacities - Part I: Definition, Möbius transform and interaction. Fuzzy Sets and Systems 151 (2005) 211-236
12. Grabisch M., and Labreuche C. Bi-capacities - Part II: The Choquet integral. Fuzzy Sets and Systems 151 (2005) 237-259
13. Greco, S., Figueira, J. 2003. Dealing with interaction between bi-polar multiple criteria preferences in outranking methods. Research Report 11-2003, INESC-Coimbra, Portugal. Available at: .
14. Greco S., Matarazzo B., and Słowiński R. Rough sets theory for multicriteria decision analysis. European Journal of Operational Research 129 (2001) 1-47
15. Greco, S., Matarazzo, B., Słowiński, R., 2002. Bipolar Sugeno and Choquet integrals. In: De Baets, B., Fodor, J., Pasi, G. (Eds.), Proceedings of the EURO Working Group on Fuzzy Sets, Workshop on Information Systems (EUROFUSE'2002). Varenna, Italy, pp. 191-196.
16. Hwang C., and Yoon K. Multiple Attribute Decision Making: Methods and Applications - A State-of-the-Art Surveys (1986), Springer-verlag, Berlin
17. Keeney R., and Raiffa H. Decisions with Multiple Objectives: Preferences and Value Tradeoffs (1976), John Wiley & Sons, New York
18. Martel J.M., and Roy B. Analyse de la signifiance de diverses procédures d'agrégation multicritère. INFOR 44 3 (2006) 119-215
19. Mousseau, V., 1993. Problèmes liés à l'évaluation de l'importance relative des critères en aide multicritère à la décision: Réflexions théoriques, expérimentations et implémentations informatiques. Ph.D. Thesis, Université Paris-Dauphine.
20. Mousseau V. Eliciting information concerning the relative importance of criteria. In: Pardalos P., Siskos Y., and Zopounidis C. (Eds). Advances in Multicriteria Analysis, Nonconvex Optimization and its Applications (1995), Kluwer Academic Publishers, Dordrecht 17-43
21. Rota G.C. On the foundations of combinatorial theory I. Theory of Möbius inversion. Zeitschrift für Wahrscheinlichkeitstheorie 2 (1964) 340-368
22. Roy B. The outranking approach and the foundations of ELECTRE methods. Theory and Decision 31 (1991) 49-73
23. Roy B. Decision science or decision-aid science?. European Journal of Operational Research 66 (1993) 184-203
24. Roy B. Multicriteria Methodology for Decision Aiding (1996), Kluwer Academic Publishers, Dordrecht
25. Roy B., and Bouyssou D. Aide Multicritère à la Décision: Méthodes et Cas (1993), Economica, Paris
26. Roy B., and Mousseau V. A theoretical framework for analysing the notion of relative importance of criteria. Journal of Multi-Criteria Decision Analysis 5 (1996) 145-159
27. Roy B., and Vanderpooten D. An overview on the European School of MCDA: Emergence, basic features and current works. European Journal of Operational Research 99 1 (1997) 26-27
28. Roy, B., in press. A propos de la signification des dépendances entre critères: Quelle place et quels modèles de prise en compte pour l'aide à la décision ?, Cahiers du LAMSADE 244. Université Paris-Dauphine, France, RAIRO Operations Research/Recherche Opérationnelle.
29. Saaty, T., 2005. The analytic hierarchy and analytic network processes for the measurement of intangible criteria and for decision-making. In: Figueira, J., Greco, S., Ehrgott, M. (Eds.), Multiple Criteria Decision Analysis: The State of the Art Surveys. Springer Science, Business Media Inc., New York, pp. 345-407.
30. Vincke Ph. Multicriteria Decision-Aid (1992), John Wiley & Sons, Chichester
31. Von Winterfeldt D., and Edwards W. Decision Analysis and Behavioral Research (1986), Cambridge University Press, Cambridge