Abstract
In this paper, we propose Dynamic-R method, a new decision aiding procedure to deal with multicriteria rating problems. A multicriteria rating problem consists on partitioning a set of objects, assessed under several dimensions called criteria, into predefined ordered equivalence classes, called categories, identified by rates. Several rating methods were developed using the majority rule. These methods present many disadvantages leading potentially to an unconvincing rating. In this work, we introduce a dynamic rating procedure aiming at providing a “convincing” rating (stable under criticisms) over a set of studied objects. It is called dynamic, since rated objects will be used to characterize the categories in the next steps. The developed rating procedure is based on the aggregation of positive and negative reasons respectively supporting and opposing to a rating.
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Almeida-Dias, J., Figueira, J., Roy, B.: Electre Tri-C: a multiple criteria sorting method based on characteristic reference actions. Eur. J. Oper. Res. 204(3), 565–580 (2010)
Almeida-Dias, J., Figueira, J., Roy, B.: A multiple criteria sorting method where each category is characterized by several reference actions: the electre Tri-NC method. Eur. J. Oper. Res. 217(3), 567–579 (2012)
Bouyssou, D.: Outranking relations: do they have special properties? J. Multi-criteria Decis. Anal. 5(2), 99–111 (1996)
Bouyssou, D., Marchant, T., Pirlot, M., Tsoukiàs, A., Vincke, P.: Evaluation and Decision Models with Multiple Criteria: Stepping Stones for the Analyst, 1st edn. Springer, Boston (2006). https://doi.org/10.1007/0-387-31099-1
Bugera, V., Konno, H., Uryasev, S.: Credit cards scoring with quadratic utility functions. J. Multi-criteria Decis. Anal. 11(4–5), 197–211 (2002)
Colorni, A., Tsoukiàs, A.: What is a decision problem? Preliminary statements. In: Perny, P., Pirlot, M., Tsoukiàs, A. (eds.) ADT 2013. LNCS (LNAI), vol. 8176, pp. 139–153. Springer, Heidelberg (2013). https://doi.org/10.1007/978-3-642-41575-3_11
Dembczyński, K., Greco, S., Słowiński, R.: Rough set approach to multiple criteria classification with imprecise evaluations and assignments. Eur. J. Oper. Res. 198(2), 626–636 (2009)
Dembczyński, K., Kotłowski, W., Słowiński, R.: Additive preference model with piecewise linear components resulting from dominance-based rough set approximations. In: Rutkowski, L., Tadeusiewicz, R., Zadeh, L.A., Żurada, J.M. (eds.) ICAISC 2006. LNCS (LNAI), vol. 4029, pp. 499–508. Springer, Heidelberg (2006). https://doi.org/10.1007/11785231_53
Devaud, J.M., Groussaud, G., Jacquet-Lagreze, E.: UTADIS: Une methode de construction de fonctions d’utilite additives rendant compte de jugements globaux. In: European Working Group on MCDA, Bochum, Germany (1980)
Fernández, E., Figueira, J., Navarro, J., Roy, B.: Electre Tri-NB: a new multiple criteria ordinal classification method. Eur. J. Oper. Res. 263(1), 214–224 (2017)
Fernandez, E., Navarro, J.: A new approach to multi-criteria sorting based on fuzzy outranking relations: the theseus method. Eur. J. Oper. Res. 213(2), 405–413 (2011)
Greco, S., Matarazzo, B., Slowinski, R.: Rough approximation by dominance relations. Int. J. Intell. Syst. 17(2), 153–171 (2002)
Greco, S., Matarazzo, B., Slowinski, R.: Rough sets methodology for sorting problems in presence of multiple attributes and criteria. Eur. J. Oper. Res. 138(2), 247–259 (2002)
Greco, S., Mousseau, V., Słowiński, R.: Multiple criteria sorting with a set of additive value functions. Eur. J. Oper. Res. 207(3), 1455–1470 (2010)
Greco, S., Matarazzo, B., Slowinski, R.: Rough sets theory for multicriteria decision analysis. Eur. J. Oper. Res. 129(1), 1–47 (2001)
Köksalan, M., Özpeynirci, S.B.: An interactive sorting method for additive utility functions. Comput. Oper. Res. 36(9), 2565–2572 (2009)
Leroy, A., Mousseau, V., Pirlot, M.: Learning the parameters of a multiple criteria sorting method. In: Brafman, R.I., Roberts, F.S., Tsoukiàs, A. (eds.) ADT 2011. LNCS (LNAI), vol. 6992, pp. 219–233. Springer, Heidelberg (2011). https://doi.org/10.1007/978-3-642-24873-3_17
Rocha, C., Dias, L.C.: An algorithm for ordinal sorting based on electre with categories defined by examples. J. Glob. Optim. 42(2), 255–277 (2008)
Vincke, Ph.: Outranking approach. In: Gal, T., Stewart, T., Hanne, T. (eds.) Multicriteria Decision Making, Advances in MCDM Models, Algorithms, Theory and Applications, pp. 11.1–11.29. Kluwer Academic Publishers, Dordrcht (1999)
Wei, Y.: Aide multicritère à la décision dans le cadre de la problématique du tri: Concepts, méthodes et applications. Ph.D. thesis, Paris 9 (1992)
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Raboun, O., Chojnacki, E., Tsoukias, A. (2019). Dynamic-R: A New “Convincing” Multiple Criteria Method for Rating Problem Statements. In: Freitas, P., Dargam, F., Moreno, J. (eds) Decision Support Systems IX: Main Developments and Future Trends. EmC-ICDSST 2019. Lecture Notes in Business Information Processing, vol 348. Springer, Cham. https://doi.org/10.1007/978-3-030-18819-1_11
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DOI: https://doi.org/10.1007/978-3-030-18819-1_11
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