Abstract
In this paper, we propose an extension to Robust Ordinal Regression allowing it to take into account also preference information from questions about indifference between real and fictitious alternatives. In particular, we allow the decision maker to suggest a new alternative that is different from the existing alternatives, but equally preferable. As shown by several experiments in psychology of the decisions, choosing between alternatives is different from matching two alternatives since the two aspects involve two different reasoning strategies. Consequently,by including this type of preference information one can represent more faithfully the DM’s preferences. Such information about indifference should narrow down the set of compatible value functions much more quickly than standard pairwise comparisons, and a first simple example at least indicates that this intuition seems to be correct.
Access provided by Autonomous University of Puebla. Download to read the full chapter text
Chapter PDF
Similar content being viewed by others
References
Branke, J., Greco, S., Słowiński, R., Zielniewicz, P.: Interactive evolutionary multiobjective optimization using robust ordinal regression. In: Ehrgott, M., Fonseca, C.M., Gandibleux, X., Hao, J.-K., Sevaux, M. (eds.) EMO 2009. LNCS, vol. 5467, pp. 554–568. Springer, Heidelberg (2009)
Branke, J., Greco, S., Słowiński, R., Zielniewicz, P.: Interactive evolutionary multiobjective optimization driven by robust ordinal regression. Bulletin of the Polish Academy of Sciences - Technical Sciences 58(3), 347–358 (2010)
Branke, J., Greco, S., Słowiński, R., Zielniewicz, P.: Learning value functions in interactive evolutionary multiobjective optimization. IEEE Transactions on Evolutionary Computation (forthcoming)
Charnes, A., Cooper, W.W., Ferguson, R.O.: Optimal estimation of executive compensation by linear programming. Management Science 1(2), 138–151 (1955)
Corrente, S., Greco, S., Kadziński, M., Słowiński, R.: Robust ordinal regression in preference learning and ranking. Machine Learning 93, 381–422 (2013)
Corrente, S., Greco, S., Kadziński, M., Słowiński, R.: Robust ordinal regression. Wiley Enciclopedia of Operational Research (forthcoming)
Dyer, J.S.: MAUT – multiattribute utility theory. In: Figueira, J., Greco, S., Ehrgott, M. (eds.) Multiple Criteria Decision Analysis: State of the Art Surveys, pp. 265–292. Springer, Berlin (2005)
Ehrgott, M., Figueira, J., Greco, S. (eds.): Trends in Multiple Criteria Decision Analysis. Springer, Berlin (2010)
Figueira, J., Greco, S., Ehrgott, M. (eds.): Multiple Criteria Decision Analysis: State of the Art Surveys. Springer, Berlin (2005)
Figueira, J., Greco, S., Roy, B., Słowiński, R.: An overview of ELECTRE methods and their recent extensions. Journal of Multicriteria Decision Analysis 20(1–2), 61–65 (2013)
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(2), 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, pp. 133–153. Springer, Berlin (2005)
Giarlotta, A., Greco, S.: Necessary and possible preference structures. Journal of Mathematical Economics 49(2), 163–172 (2013)
Greco, S., Matarazzo, B., Słowiński, R.: Rough sets theory for multicriteria decision analysis. European Journal of Operational Research 129(1), 1–47 (2001)
Greco, S., Matarazzo, B., Słowiński, R.: Decision rule approach. In: Figueira, J., Greco, S., Ehrgott, M. (eds.) Multiple Criteria Decision Analysis: State of the Art Surveys, pp. 507–562. Springer, Berlin (2005)
Greco, S., Mousseau, V., Słowiński, R.: Ordinal regression revisited: multiple criteria ranking using a set of additive value functions. European Journal of Operational Research 191(2), 416–436 (2008)
Jacquet-Lagrèze, E., Siskos, J.: Assessing a set of additive utility functions for multicriteria decision-making, the UTA method. European Journal of Operational Research 10(2), 151–164 (1982)
Jacquet-Lagrèze, E., Siskos, Y.: Preference disaggregation: 20 years of MCDA experience. European Journal of Operational Research 130(2), 233–245 (2001)
Keeney, R.L., Raiffa, H.: Decisions with multiple objectives: Preferences and value tradeoffs. J. Wiley, New York (1993)
Mousseau, V., Figueira, J., Dias, L., Gomes da Silva, C., Climaco, J.: Resolving inconsistencies among constraints on the parameters of an MCDA model. European Journal of Operational Research 147(1), 72–93 (2003)
Mousseau, V., Słowiński, R.: Inferring an ELECTRE TRI model from assignment examples. Journal of Global Optimization 12(2), 157–174 (1998)
Mousseau, V., Słowiński, R., Zielniewicz, P.: A user–oriented implementation of the ELECTRE-TRI method integrating preference elicitation support. Computers & Operations Research 27(7–8), 757–777 (2000)
Pekelman, D., Sen, S.K.: Mathematical programming models for the determination of attribute weights. Management Science 20(8), 1217–1229 (1974)
Roy, B.: Multicriteria Methodology for Decision Aiding. Kluwer Academic, Dordrecht (1996)
Slovic, P.: Choice between equally valued alternatives. Journal of Experimental Psychology: Human Perception and Performance 1(3), 280 (1975)
Słowiński, R., Greco, S., Matarazzo, B.: Rough sets in decision making. In: Meyers, R.A. (ed.) Encyclopedia of Complexity and Systems Science, pp. 7753–7786. Springer, New York (2009)
Słowiński, R., Greco, S., Matarazzo, B.: Rough Set and Rule-based Multicriteria Decision Aiding. Pesquisa Operacional 32(2), 213–269 (2012)
Srinivasan, V., Shocker, A.D.: Estimating the weights for multiple attributes in a composite criterion using pairwise judgments. Psychometrika 38(4), 473–493 (1973)
Tversky, A., Sattath, S., Slovic, P.: Contingent weighting in judgment and choice. Psychological Review 95(3), 371 (1988)
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2015 Springer International Publishing Switzerland
About this paper
Cite this paper
Branke, J., Corrente, S., Greco, S., Gutjahr, W.J. (2015). Using Indifference Information in Robust Ordinal Regression. In: Gaspar-Cunha, A., Henggeler Antunes, C., Coello, C. (eds) Evolutionary Multi-Criterion Optimization. EMO 2015. Lecture Notes in Computer Science(), vol 9019. Springer, Cham. https://doi.org/10.1007/978-3-319-15892-1_14
Download citation
DOI: https://doi.org/10.1007/978-3-319-15892-1_14
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-15891-4
Online ISBN: 978-3-319-15892-1
eBook Packages: Computer ScienceComputer Science (R0)