Abstract
We introduce the principle of robust ordinal regression to group decision. We consider the main multiple criteria decision methods to which robust ordinal regression has been applied, i.e., UTAGMS and GRIP methods, dealing with choice and ranking problems, UTADISGMS, dealing with sorting (ordinal classification) problems, and ELECTREGMS, being an outranking method applying robust ordinal regression to well known ELECTRE methods. In this way, we obtain corresponding methods for group decision: UTAGMS-GROUP, UTADISGMS-GROUP and ELECTREGMS-GROUP.
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Angilella, S., Greco, S., Lamantia, F., Matarazzo, B.: Assessing non-additive utility for multicriteria decision aid. European Journal of Operational Research 158, 734–744 (2004)
Angilella, S., Greco, S., Matarazzo, B.: Nonadditive robust ordinal regression: aggregation-disaggregation approach considering all compatible fuzzy measures in a multiple criteria decision model based on the Choquet integral. Forthcoming in European Journal of Operational Research (2008)
Bana e Costa, C.A., Vansnick, J.C.: MACBETH: An interactive path towards the construction of cardinal value functions. International Transactions in Operational Research 1(4), 387–500 (1994)
Choquet, G.: Theory of capacities. Annales de l’Institut Fourier 5, 131-295 (1953)
Dyer, J.S.: Multiattribute Utility Theory. In: Figueira, J., Greco, S., Ehrgott, M. (eds.) Multiple Criteria Decision Analysis: State of the Art Surveys, pp. 265–295. Springer, New York (2005)
Figueira, J., Greco, S., Ehrgott, M. (eds.): Multiple Criteria Decision Analysis: State of the Art Surveys. Springer, New York (2005)
Figueira, J., Greco, S., Słowiński, R.: 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 (2009)
Figueira, J., Mousseau, V., Roy, B.: ELECTRE methods. In: Figueira, J., Greco, S., Ehrgott, M. (eds.) Multiple Criteria Decision Analysis: State of the Art Surveys, ch. 4, pp. 133–162. Springer, Heidelberg (2005)
Greco, S., Matarazzo, B., Słowiński, R.: Rough sets theory for multicriteria decision analysis. European Journal of Operational Research 129, 1–47 (2001)
Greco, S., Mousseau, V., Słowiński, R.: The necessary and the possible in a perspective of robust decision aiding. Presented at 66th Meeting of the European Working Group on Multiple Criteria Decision Aiding, Marrakech, Morocco, October 18-20 (2007)
Greco, S., Mousseau, V., Słowiński, R.: Ordinal regression revisited: Multiple criteria ranking with a set of additive value functions. European Journal of Operational Research 191, 415–435 (2008)
Greco, S., Mousseau, V., Słowiński, R.: Multiple criteria sorting with a set of additive value functions. European Journal of Operational Research (submitted, 2009)
Kiss, L., Martel, J.M., Nadeau, R.: ELECCALC - an interactive software for modelling the decision maker’s preferences. Decision Support Systems 12, 757–777 (1994)
Jacquet-Lagrèze, E., Siskos, Y.: Assessing a set of additive utility functions for multicriteria decision-making, the UTA method. European Journal of Operational Research 10, 151–164 (1982)
Jacquet-Lagrèze, E., Siskos, Y.: Preference disaggregation: 20 years of MCDA experience. European Journal of Operational Research 130, 233–245 (2001)
Keeney, R.L., Raiffa, H.: Decision with Multiple Objectives - Preferences and value Tradeoffs. Wiley, New York (1976)
Marichal, J.L., Roubens, M.: Determination of weights of interacting criteria from a reference set. European Journal of Operational Research 124, 641–650 (2000)
Mousseau, V., Dias, L.: Valued outranking relations in ELECTRE providing manageable disaggregation procedures. European Journal of Operational Research 156, 467–482 (2004)
Mousseau, V., Słowiński, R.: Inferring an ELECTRE TRI model from assignment examples. Journal of Global Optimization 12, 157–174 (1998)
Mousseau, V., Słowiński, R., Zielniewicz, P.: A user-oriented implementation of the ELECTRE-TRI method integrating preference elicitation support. Computers and Operations Research 27, 757–777 (2000)
Pekelman, D., Sen, S.K.: Mathematical programming models for the determination of attribute weights. Management Science 20, 1217–1229 (1974)
Roy, B.: The outranking approach and the foundations of ELECTRE methods. Theory and Decision 31, 49–73 (1991)
Roy, B., Bouyssou, D.: Aide Multicritère à la Décision: Méthodes et Cas. Economica, Paris (1993)
Saaty, T.L.: The Analytic Hierarchy Process. McGraw-Hill, New York (1980)
Saaty, T.L.: 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: State of the Art Surveys, pp. 345–407. Springer, New York (2005)
Siskos, Y., Grigoroudis, V., Matsatsinis, N.: UTA methods. In: Figueira, J., Greco, S., Ehrgott, M. (eds.) Multiple Criteria Decision Analysis: State of the Art Surveys, pp. 297–343. Springer, New York (2005)
Srinivasan, V., Shocker, A.D.: Estimating the weights for multiple attributes in a composite criterion using pairwise judgments. Psychometrika 38, 473–493 (1973)
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Greco, S., Mousseau, V., Słowiński, R. (2009). The Possible and the Necessary for Multiple Criteria Group Decision. In: Rossi, F., Tsoukias, A. (eds) Algorithmic Decision Theory. ADT 2009. Lecture Notes in Computer Science(), vol 5783. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-04428-1_18
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DOI: https://doi.org/10.1007/978-3-642-04428-1_18
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