Robust ordinal regression for value functions handling interacting criteria

European Journal of Operational Research

Volumn 239, Issue 3, 2014, Pages 711-730

  Greco, Salvatore ^a,b   Mousseau, Vincent ^c   Słowiński, Roman ^d,e  

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

^b UNIVERSITY OF PORTSMOUTH   (United Kingdom)

^c ECOLE CENTRALE PARIS   (France)

^d POZNAN UNIVERSITY OF TECHNOLOGY   (Poland)

^e SYSTEMS RESEARCH INSTITUTE   (Poland)

Author keywords

Interacting criteria; Multiple criteria decision aiding; Robust ordinal regression; Value function

Indexed keywords

INTEGER PROGRAMMING; INTEGRAL EQUATIONS;

ADDITIVE VALUE FUNCTIONS; INTENSITY OF PREFERENCE; INTERACTING CRITERIA; MIXED INTEGER LINEAR PROGRAM; MULTIPLE CRITERIA DECISION AIDING; PREFERENCE INFORMATION; ROBUST ORDINAL REGRESSIONS; VALUE FUNCTIONS;

REGRESSION ANALYSIS;

EID: 84906223338     PISSN: 03772217     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ejor.2014.05.022     Document Type: Article

References (39)

1. S. Angilella, S. Corrente, S. Greco, and R. Słowiński Multicriteria customer satisfaction analysis with interacting criteria OMEGA 42 1 2014 189 200
2. S. Angilella, S. Greco, F. Lamantia, and B. Matarazzo Assessing non-additive utility for multicriteria decision aid European Journal of Operational Research 158 3 2004 734 744
3. S. Angilella, S. Greco, and B. Matarazzo Non-additive robust ordinal regression: A multiple criteria decision model based on the Choquet integral European Journal of Operational Research 201 1 2010 277 288
4. Boutilier, C., Bacchus, F., & Brafman, R. I. (2001). UCP-networks: A directed graphical representation of conditional utilities. In Proceedings of the 17th annual conference on uncertainty in artificial intelligence (pp. 56-64).
5. G. Choquet Theory of capacities Annales de l'Institut Fourier 5 1953 131 295
6. S. Corrente, S. Greco, and R. Słowiński Multiple criteria hierarchy process in robust ordinal regression Decision Support Systems 53 3 2012 660 674
7. M. Ehrgott, J. Figueira, and S. Greco Trends in multiple criteria decision analysis 2010 Springer
8. Figueira, J. Greco, S., & Słowiński, R. (2008). Identifying the most representative value function among all compatible value functions in the GRIP method. In Proceedings of the 68th EURO working group on MCDA. Chania.
9. J. Figueira, S. Greco, and M. Ehrgott Multiple criteria decision analysis: State of the art surveys 2005 Springer Verlag Boston, Dordrecht London
10. J. Figueira, S. Greco, and R. Słowiński Building a set of additive value functions representing a reference preorder and intensities of preference: GRIP method European Journal of Operational Research 195 2 2009 460 486
11. P.C. Fishburn Interdependence and additivity in multivariate, unidimensional expected utility theory International Economic Review 8 1967 335 342
12. A. Giarlotta, and S. Greco Necessary and possible preference structures Journal of Mathematical Economics 49 2 2013 163 172
13. Gonzales, C., & Perny, P. (2005). GAI networks for decision making under certainty. In R. Brafman, & U. Junker (Eds.), Proceedings of the 19th international joint conference on artificial intelligence - Workshop on advances in preference handling (pp. 100-105).
14. M. Grabisch The application of fuzzy integrals in multicriteria decision making European Journal of Operational Research 89 3 1996 445 456
15. M. Grabisch k-order additive discrete fuzzy measures and their representation Fuzzy Sets and Systems 92 2 1997 167 189
16. M. Grabisch, I. Kojadinovic, and P. Meyer A review of methods for capacity identification in Choquet integral based multi-attribute utility theory: Applications of the Kappalab R package European Journal of Operational Research 186 2 2008 766 785
17. M. Grabisch, and C. Labreuche Fuzzy measures and integrals in MCDA J. Figueira, S. Greco, M. Ehrgott, Multiple criteria decision analysis: State of the art surveys 2005 Springer Boston 563 608
18. S. Greco, M. Kadziński, and R. Słowiński Selection of a representative value function in robust multiple criteria sorting Computers & Operations Research 38 11 2011 1620 1637
19. UTADISGMS - GROUP Decision Support Systems 52 3 2012 549 561
20. S. Greco, B. Matarazzo, and S. Giove The Choquet integral with respect to a level dependent capacity Fuzzy Sets and Systems 175 1 2011 1 35
21. S. Greco, B. Matarazzo, and R. Słowiński Rough sets theory for multicriteria decision analysis European Journal of Operational Research 129 2001 1 47
22. Greco, S., Matarazzo, B., & Słowiński, R. (2002). Bipolar Sugeno and Choquet integrals. In EUROFUSE workshop on informations systems (pp. 191-196).
23. S. Greco, V. Mousseau, and R. Słowiński Ordinal regression revisited: Multiple criteria ranking using a set of additive value functions European Journal of Operational Research 191 2 2008 415 435
24. S. Greco, V. Mousseau, and R. Słowiński Multiple criteria sorting with a set of additive value functions European Journal of Operational Research 207 3 2010 1455 1470
25. S. Greco, R. Słowiński, J. Figueira, and V. Mousseau Robust ordinal regression M. Ehrgott, J. Figueira, S. Greco, Trends in multiple criteria decision analysis International series in operations research and management science Vol. 142 2010 Springer 241 284
26. E. Grigoroudis, and Y. Siskos Preference disaggregation for measuring and analysing customer satisfaction: The MUSA method European Journal of Operational Research 143 1 2002 148 170
27. E. Jacquet-Lagrèze, and Y. Siskos Assessing a set of additive utility functions for multicriteria decision making: The UTA method European Journal of Operational Research 10 1982 151 164
28. M. Kadziński, S. Greco, and R. Słowiński Selection of a representative value function in robust multiple criteria ranking and choice European Journal of Operational Research 217 3 2012 541 553
29. R.L. Keeney, and H. Raiffa Decisions with multiple objectives: Preferences and value tradeoffs 1976 J. Wiley New York
30. C. Labreuche, and M. Grabisch Generalized Choquet-like aggregation functions for handling bipolar scales European Journal of Operational Research 172 3 2006 931 955
31. J.-L. Marichal, and M. Roubens Determination of weights of interacting criteria from a reference set European Journal of Operational Research 124 3 2000 641 650
32. Mayag, B. (2010). Elaboration d'une démarche constructive prenant en compte les interactions entre critères en aide multicritère à la décision. PhD thesis, Université Paris 1 Panthéon-Sorbonne.
33. Mayag, B., Grabisch, M., & Labreuche, C. (2008). Un algorithme de détermination de la capacité pour l'intégrale de Choquet 2-additive. In Actes des rencontres francophone sur la logique floue et ses applications (pp. 260-267).
34. Z. Pawlak Rough sets: Theoretical aspects of reasoning about data 1991 Kluwer Academic Dordrecht
35. B. Roy Multicriteria methodology for decision aiding 1996 Kluwer Academic Dordrecht
36. B. Roy A propos de la signification des dépendances entre critères: Quelle place et quels modes de prise en compte pour l'aide à la décision? RAIRO Operations Research 43 2009 255 275
37. Roy, B., & Bouyssou, D. (1993). Aide Multicritère à la Décision: Méthodes et Cas, Economica Paris.
38. B. Roy, and R. Słowiński Questions guiding the choice of a multicriteria decision aiding method EURO Journal of Decision Processes 1 2013 69 97
39. R. Słowiński, S. Greco, and B. Matarazzo Rough sets in decision making R.A. Meyers, Encyclopedia of complexity and systems science 2009 Springer New York 7753 7786