VisualUTA

Ordinal regression revisited: multiple criteria ranking with a set of additive value functions. VisualUTA is the first implementation of the UTA^GMS method for multiple criteria ranking of alternatives from set A using a set of additive value functions which result from an ordinal regression. The preference information provided by the decision maker is a set of pairwise comparisons on a subset of alternatives A^R, called reference alternatives. The preference model built via ordinal regression is a set of all additive value functions compatible with the preference information. Using this model, one can define two relations in the set A: the necessary weak preference relation (strong outranking) which holds for any two alternatives a, b from set A if and only if for all compatible value functions a is preferred to b, and the possible weak preference relation (weak outranking) which holds for this pair if and only if for at least one compatible value function a is preferred to b. These relations establish a necessary (strong) and a possible (weak) ranking of alternatives from A, being, respectively, a partial preorder and a strongly complete and negatively transitive relation. The UTA^GMS method is intended to be used interactively, with an increasing subset A^R and a progressive statement of pairwise comparisons. When no preference information is provided, the necessary weak preference relation is a weak dominance relation, and the possible weak preference relation is a complete relation. Every new pairwise comparison of reference alternatives is enriching the necessary relation and it is impoverishing the possible relation, so that they converge with the growth of the preference information. Moreover, the method can support the decision maker also when his/her preference statements cannot berepresented in terms of an additive value function.


References in zbMATH (referenced in 109 articles , 1 standard article )

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  1. Bouyssou, Denis; Marchant, Thierry: Multiattribute preference models with reference points (2013)
  2. Corrente, Salvatore; Greco, Salvatore; Kadziński, Miłosz; Słowiński, Roman: Robust ordinal regression in preference learning and ranking (2013)
  3. Giarlotta, Alfio; Greco, Salvatore: Necessary and possible preference structures (2013)
  4. Graf, Christoph; Vetschera, Rudolf; Zhang, Yingchao: Parameters of social preference functions: measurement and external validity (2013)
  5. Greco, Salvatore; Matarazzo, Benedetto; Słowiński, Roman: Comments on: Multicriteria decision systems for financial problems (2013)
  6. Huang, Tony Cheng-Kui: A novel group ranking model for revealing sequence and quantity knowledge (2013)
  7. Kadziński, Miłosz; Tervonen, Tommi: Robust multi-criteria ranking with additive value models and holistic pair-wise preference statements (2013) ioport
  8. Nguyen, Duy Van: Global maximization of UTA functions in multi-objective optimization (2013)
  9. Agell, Núria; Sánchez, Mónica; Prats, Francesc; Roselló, Llorenç: Ranking multi-attribute alternatives on the basis of linguistic labels in group decisions (2012) ioport
  10. Bouchery, Yann; Ghaffari, Asma; Jemai, Zied; Dallery, Yves: Including sustainability criteria into inventory models (2012)
  11. Kadziński, Miłosz; Greco, Salvatore; Słowiński, Roman: Selection of a representative set of parameters for robust ordinal regression outranking methods (2012)
  12. Kadziński, Miłosz; Greco, Salvatore; Słowiński, Roman: Selection of a representative value function in robust multiple criteria ranking and choice (2012)
  13. Mustajoki, Jyri: Effects of imprecise weighting in hierarchical preference programming (2012)
  14. Beccacece, F.; Borgonovo, E.: Functional ANOVA, ultramodularity and monotonicity: applications in multiattribute utility theory (2011)
  15. Doumpos, Michael; Zopounidis, Constantin: Preference disaggregation and statistical learning for multicriteria decision support: A review (2011)
  16. Greco, Salvatore; Kadziński, Miłosz; Mousseau, Vincent; Słowiński, Roman: ELECTRE(^\textGKMS): Robust ordinal regression for outranking methods (2011)
  17. Greco, Salvatore; Kadziński, Miłosz; Słowiński, Roman: Selection of a representative value function in robust multiple criteria sorting (2011)
  18. Angilella, Silvia; Greco, Salvatore; Matarazzo, Benedetto: Non-additive robust ordinal regression: a multiple criteria decision model based on the Choquet integral (2010)
  19. Bous, Géraldine; Fortemps, Philippe; Glineur, François; Pirlot, Marc: ACUTA: a novel method for eliciting additive value functions on the basis of holistic preference statements (2010)
  20. Branke, J.; Greco, S.; Słowiński, R.; Zielniewicz, P.: Interactive evolutionary multiobjective optimization driven by robust ordinal regression (2010)