An Overview of ELECTRE Methods and their Recent Extensions

Journal of Multi-Criteria Decision Analysis

Volumn 20, Issue 1-2, 2013, Pages 61-85

  Figueira, José Rui ^a,f   Greco, Salvatore ^b   Roy, Bernard ^c   Słowiński, Roman ^d,e  

^a INSTITUTO SUPERIOR TÉCNICO   (Portugal)

^b University of Catania and CESifo Research Network   (Italy)

^c UNIVERSITÉ PARIS DAUPHINE   (France)

^d POZNAN UNIVERSITY OF TECHNOLOGY   (Poland)

^e SYSTEMS RESEARCH INSTITUTE   (Poland)

^f LORIA   (France)

Author keywords

ELECTRE methods; Outranking methods; Survey

Indexed keywords

EID: 84886238824     PISSN: 10579214     EISSN: 10991360     Source Type: Journal    
DOI: 10.1002/mcda.1482     Document Type: Article

References (87)

1. Aissi H, Roy B. 2010. Robustness in multi-criteria decision aiding. In Trends in Multiple Criteria Decision Analysis, Ehrgott M, Figueira J, Greco S (eds). New York, U.S.A.: Springer Science+Business Media, Inc; 101-139.
2. Almeida-Dias J, Figueira J, Roy B. 2010. Electre Tri-C: a multiple criteria sorting method based on characteristic reference actions. European Journal of Operational Research 204(3): 656-580.
3. Almeida-Dias J, Figueira J, Roy B. 2012. A multiple criteria sorting method defining the categories by several characteristic reference actions: the Electre tri-nc methods. European Journal of Operational Research 217: 567--579.
4. André S. 2009. Evaluation de la Performance non Financière des Entreprises : Apport des Méthodes Multicritère d'Aide à la Décision. Thèse de Doctorat, LAMSADE, Université Paris-Dauphine, Paris, France.
5. André S, Roy B. 2007. Conception et mise en place d'un outil d'évaluation de la performance environnementale : Le cas des raffineries de la société TOTAL. Journal of Decision Systems 16: 335-367.
6. Arondel C, Girardin P. 2000. Sorting cropping systems on the basis of their impact on groundwater quality. European Journal of Operational Research 127(3): 467-482.
7. Autran-Gomes L, Rangel L, Moreira R. 2009. Using Electre IV in the promotion of social and economic development: a case study in Rio de Janeiro. Foundations of Computing and Decision Sciences 34: 155-172.
8. Bell D, Raiffa H, Tversky A. 1988. Descriptive, normative, and prescriptive interactions in decision making. In Decision Making: Descriptive, Normative, and Prescriptive Interactions, Bell D, Raiffa H, Tversky A (eds). Cambridge, U.S.A.: Cambridge University Press; 9-32.
9. Bisdorff R. 2004. Concordant outranking with multiple criteria of ordinal significance. 4OR 2; 293-308.
10. Bisdorff R, Meyer P, Roubens M. 2008. RUBIS: a bipolar-valued outranking method for the choice problem. 4OR 6; 143-165.
11. Bouyssou D. 1986. Some remarks on the notion of compensation in MCDM. European Journal of Operational Research 26: 150-160.
12. Bouyssou D, Marchant T. 2007a. An axiomatic approach to noncompensatory sorting methods in MCDM I: the case of two categories. European Journal of Operational Research 178: 217-245.
13. Bouyssou D, Marchant T. 2007b. An axiomatic approach to noncompensatory sorting methods in MCDM II: more than two categories. European Journal of Operational Research 178: 246-276.
14. Bouyssou D, Pirlot M. 2002a. A characterization of strict concordance relations. In Aiding Decisions with Multiple Criteria, Essays in Honour of Bernard Roy, Bouyssou D, Jacquet-Lagrèze E, Perny P, Słowiński R, Vanderpooten D, Vincke P (eds). Boston, U.S.A.: Kluwer Academic Publisher; 121-145.
15. Bouyssou D, Pirlot M. 2002b. Non transitive decomposable conjoint measurement. Journal of Mathematical Psychology 46: 677-703.
16. Bouyssou D, Pirlot M. 2005. A characterization of concordance relations. European Journal of Operational Research 167: 427-443.
17. Bouyssou D, Pirlot M. 2007. Further results on concordance relations. European Journal of Operational Research 181: 505-514.
18. Bouyssou D, Pirlot M. 2009. An axiomatic analysis of concordance-discordance relations. European Journal of Operational Research 199: 468-477.
19. Bouyssou D, Vansnick J-C. 1986. Noncompensatory and generalized noncompensatory preference structures. Theory and Decision 21: 251-266.
20. Bouyssou D, Pirlot M, Vincke P. 1997. A general model of preference aggregation. In Essays in Decision Making, Karwan M, Spronk J, Wallenius J (eds). Berlin, Germany: Springer-Verlag; 120-134.
21. Bouyssou D, Marchant T, Pirlot M, Perny P, Tsoukiàs A, Vincke P. 2000. Evaluation and Decision Models: A Critical Perspective. Dordrecht, Holland: Kluwer Academic Publishers.
22. Brans J-P, Mareschal 2005. Promethee methods. In Multiple Criteria Decision Analysis: State of the Art Surveys, Figueira J, Greco S, Ehrgott M (eds). New York, U.S.A.: Springer Science+Business Media, Inc; 163-195.
23. Damart S, Dias L, Mousseau V. 2007. Supporting groups in sorting decisions: methodology and use of a multi-criteria aggregation/disaggregation DSS. Decision Support Systems 43: 1464-1475.
24. Dias L, Mousseau V. 2006. Inferring Electre's veto-related parameters from outranking examples. European Journal of Operational Research 170: 172-191.
25. Dias L, Mousseau V, Figueira J, Clímaco J. 2002. An aggregation/disaggregation approach to obtain robust conclusions with Electre tri. European Journal of Operational Research 138: 332-348.
26. Doumpos M, Marinakis Y, Marinaki M, Zopounidis C. 2009. En evolutionary aproach to construction of outranking models for multicriteria classification: the case of the Electre tri method. European Journal of Operational Research 199: 496-505.
27. Dubois D, Fargier H, Perny P, Prade H. 2003. A characterization of generalized concordance rules in multicriteria decision-making. International Journal of Intelligent Systems 18: 751-774.
28. Figueira J. 2009. La Prise en Compte de Critères Multiples en Recherche Opérationnelle et Aide à la Décision. Habilitation à Diriger des Recherches (HDR), LAMSADE, Université Paris-Dauphine, Paris, France.
29. Figueira J, Roy B. 2002. Determining the weights of criteria in the Electre type methods with a revised Simos' procedure. European Journal of Operational Research 139: 317-326.
30. Figueira J, Roy B. 2009. A note on the paper, "ranking irregularities when evaluating alternatives by using some Electre methods, by Wang and Triantaphyllou, Omega (2008)". Omega 37: 731-733.
31. Figueira J, Roy B, Mousseau V. 2005. Electre methods. In Multiple Criteria Decision Analysis: State of the Art Surveys, Figueira J, Greco S, Ehrgott M (eds). New York, U.S.A.: Springer Science+Business Media, Inc; 133-162.
32. Figueira J, Greco S, Roy B. 2009a. Electre methods with interaction between criteria: an extension of the concordance index. European Journal of Operational Research 199(2): 496-505.
33. Figueira J, Greco S, Słowiński R. 2009b. Building a set of additive value functions representing a reference preorder and intensities of preference: GRIP method. European Journal of Operational Research 195: 460-486.
34. Georgopoulou E, Sarafidis Y, Mirasgedis S, Zaimi S, Lalas D. 2003. A multiple criteria decision-aid approach in defining national priorities for greenhouse gases emissions reduction in the energy sector. European Journal of Operational Research 146(1): 199-215.
35. Gerhlein W. 1983. Condorcet's paradox. Theory and Decision 15: 161-169.
36. Goldstein W. 1991. Decomposable threshold models. Journal of Mathematical Psychology 35: 64-79.
37. Greco S, Matarazzo B, Słowiński R. 2001a. Axiomatic basis of noncompensatory preferences. Communication at FUR X, 30 May-2 June, Torino, Italy.
38. Greco S, Matarazzo B, Słowiński R. 2001b. Rough sets theory for multicriteria decision analysis. European Journal of Operational Research 129: 1-47.
39. Greco S, Matarazzo B, Słowiński R. 2002a. Preference representation by means of conjoint measurement and decision rule model. In Aiding Decisions with Multiple Criteria, Essays in Honour of Bernard Roy, Bouyssou D, Jacquet-Lagrèze E, Perny P, Słowiński R, Vanderpooten D, Vincke P (eds). Boston, U.S.A.: Kluwer Academic Publisher; 263-313.
40. Greco S, Predki B, Słowiński R. 2002b. Searching for an equivalence between decision rules and concordance-discordance preference model in multicriteria choice problems. Control and Cybernetics 31: 921-935.
41. Greco S, Mousseau V, Słowiński R. 2008. Ordinal regression revisited: multiple criteria ranking with a set of additive value functions. European Journal of Operational Research 191: 415-435.
42. Greco S, Mousseau V, Słowiński R. 2009. The possible and the necessary for multiple criteria group decision. In Algorithmic Decision Theory, Volume 5783 of Lectures Notes on Computer Science, Rossi F, Tsoukiàs A (eds). Berlin, Germany: Springer-Verlag; 203-214.
43. Greco S, Słowiński R, Figueira J, Mousseau V. 2010. Robust ordinal regression. In Trends in Multiple Criteria Decision Analysis, Ehrgott M, Figueira J, Greco S (eds). New York, U.S.A.: Springer Science+Business Media, Inc; 273-320.
44. GKMS: robust ordinal regression for outranking methods. European Journal of Operational Research 214: 118-135.
45. Jacquet-Lagrèze E, Siskos Y. 1982. Assessing a set of additive utility functions for multicriteria decision making: the UTA method. European Journal of Operational Research 10: 151-164.
46. Joerin F, Thériault M, Musy A. 2001. Using GIS and outranking multicriteria analysis for land-use suitability assessment. International Journal of Geographical Information Science 15(2): 153-174.
47. Keeney R, Raiffa H. 1976. Decisions with Multiple Objectives: Preferences and Value Tradeoffs. John Wiley and Sons: New York, U.S.A.
48. Leyva-López J, Sánchez L, Contreras M. 2008. A multicriteria decision support system with an evolutionary algorithm for deriving final ranking from a fuzzy outranking relation. Operations Research: An International Journal 8: 47-62.
49. Luce R. 1956. Semiorders and the theory of utility discrimination. Econometrica 54: 178-191.
50. Luce R, Krantz D, Suppes P, Tversky A. 1990. Foundations of Measurement: Representation, Axiomatization, and Invariance, Volume Vol. 3. New York, U.S.A.: Academic Press.
51. Martel J-M, Roy B. 2006. Analyse de la signifiance de diverses procédures d'agrégation multicritère. Infor 44: 119-214.
52. Matias S. 2008. A Multicriteria Decision Aiding Assignment Methodology for Assisted Reproductive Technology. Master Dissertation in Biomedicine, Instituto Superior Técnico, Technical University of Lisbon, Lisbon, Portugal.
53. Merad M, Verdel T, Roy B, Kouniali S. 2004. Use of multi-criteria decision-aids for risk zoning and management of large area subjected to mining-induced hazards. Tunnelling and Underground Space Technology 19: 165-178.
54. Mousseau V, Dias L. 2006. Valued outranking relations in Electre providing manageable disaggregation procedures. European Journal of Operational Research 156: 467-482.
55. Mousseau V, Słowiński R. 1998. Inferring an Electre tri model from assignment examples. Journal of Global Optimization 12: 157-174.
56. Mousseau V, Słowiński R, Zielniewicz P. 2000. A user-oriented implementation of the Electre tri method integrating preference elicitation support. Computers and Operations Research 27: 757-777.
57. Mousseau V, Figueira J, Naux J. 2001. Using assignment examples to infer weights for Electre tri method: some experimental results. European Journal of Operational Research 130: 263-275.
58. Mousseau V, Figueira J, Dias L, Gomes da Silva C, Clímaco J. 2003. Resolving inconsistencies among constraints on the parameters of an MCDA model. European Journal of Operational Research 147: 72-93.
59. Mousseau V, Dias L, Figueira J. 2006. Dealing with inconsistent judgments in multiple criteria sorting models 4OR 4; 145-158.
60. Ngo The A, Mousseau V. 2002. Using assignment examples to infer category limits for the Electre tri method. Journal of Multi-Criteria Decision Analysis 11: 29-43.
61. Norese M. 2006. Electre III as a support for participatory decision-making on the localisation of waste-treatment plants. Land Use Policy 23: 76-85.
62. Perny P. 1992. Sur le non-respect de l'axiome d'indépendance dans les méthodes de type Electre. Cahiers du CERO 34: 211-232.
63. Perny P. 1998. Multicriteria filtering methods based on concordance/non-discordance principles. Annals of Operations Research 80: 137-167.
64. Pirlot M. 1997. A common framework for describing some outranking procedures. Journal of Multi-Criteria Decision Analysis 6: 86-92.
65. Roussat N, Dujet C, Méhui J. 2009. Choosing a sustainable demolition waste management strategy using multicriteria decision analysis. Waste Management 29: 12-20.
66. Roy B. 1973. How outranking relation helps multiple criteria decision making. In Multiple Criteria Decision Making, Cochrane J, ZM (eds). Columbia, SC, U.S.A.: University of South Carolina Press; 179-201.
67. Roy B. 1985. Méthodologie Multicritère d'Aide à la Décision. Paris, France: Economica.
68. Roy B. 1991. The outranking approach and the foundations of Electre methods. Theory and Decision 31(1): 49-73.
69. Roy B. 1996. Multicriteria Methodology for Decision Aiding. Dordrecht, Holland: Kluwer Academic Publishers.
70. Roy B. 2010. Two conceptions of decision aiding. International Journal of Multiple Criteria Decision-Making 1: 74-79.
71. Roy B, Bouyssou D. 1993. Aide Multicritère à la Décision: Méthodes et Cas. Production et Techniques Quantitatives Appliquées à la Gestion. Paris, France: Economica.
72. Roy B, Słowiński R. 2008. Handling effects of reinforced preference and counter-veto in credibility of outranking. European Journal of Operational Research 188(1): 185-190.
73. Roy B, Vincke P. 1984. Relational systems of preference with one or more pseudo-criteria: some new concepts and results. Management Science 30(11): 1323-1335.
74. Shanian A, Savadogo O. 2006. A non-compensatory comprimised solution for material selection of bipolar plates for polymer electrolyte membrane fuel cell (PEMFC) using Electre IV. Electrochimica Acta 51: 5307-5315.
75. Simos J. 1990. Gestion des Déchets Solides Urbains Genevois: Les Faits, le Traitement, l'Analyse. Lausanne, Switzerland: Presses Polytechniques et Universitaires Romandes.
76. Simpson L. 1996. Do decision makers know what they prefer?: MAVT and Electre ii. Journal of the Operational Research Society 47: 919-929.
77. Słowiński R, Stefanowski J. 1994. Rough classification with valued closeness relation. In New Approaches in Classification and Data Analysis, Diday E, Lechevallier Y, Schrader M, Bertrand P, Burtschy B (eds). Berlin, Germany: Springer-Verlag; 482-489.
78. Słowiński R, Vanderpooten D. 1997. Similarity relation as a basis for rough approximations. In Advances in Machine Intelligence & Soft-Computing, Volume Vol. IV, Wang P (ed.). Durham, NC, U.S.A.: Duke University Press; 17-33.
79. Słowiński R, Vanderpooten D. 2000. A generalized definition of rough approximations based on similarity. IEEE Transactions on Data and Knowledge Engineering 12: 331-336.
80. Słowiński R, Greco S, Matarazzo B. 2002. Axiomatization of utility, outranking and decision-rule preference models for multiple-criteria classification problem under partial inconsistency with the dominance principle. Control and Cybernetics 31: 1005-1035.
81. Sugeno M. 1974. Theory of Fuzzy Integrals and its Applications. Thèse de Doctorat, Tokyo Institute of Technology, Tokyo, Japan.
82. Suppes P. 1959. Measurement, empirical meaningfulness and three-valued logic. In Measurement: Definition and Theories, Churchman and Ratoosh (eds). New York, U.S.A.: John Wiley & Sons; 129-143.
83. Tervonen T, Figueira J, Lahdelma R, Almeida Dias J, Salminen P. 2009a. A stochastic method for robustness analysis in sorting problems. European Journal of Operational Research 192: 236-242.
84. Tervonen T, Linkov I, Figueira J, Steevens J, Chappel M, Merad M. 2009b. Risk-based classification system of nanomaterials. Journal of Nanoparticle Research 11(4): 757-766.
85. Triantaphyllou E. 2000. Multi-Criteria Decision Making Methods: A Comparative Study. Dordrecht, Holland: Kluwer Academic Publishers.
86. Wang X, Triantaphyllou E. 2008. Ranking irregularities when evaluating alternatives by using some Electre methods. Omega 36: 45-63.
87. Zopounidis B, Pardalos P (eds). 2010. Handbook of Multicriteria Analysis. New York, USA: Springer.