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RUTA: A framework for assessing and selecting additive value functions on the basis of rank related requirements

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  • Kadziński, Miłosz
  • Greco, Salvatore
  • Słowiński, Roman
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    Abstract

    In this paper, we present a new preference disaggregation method, called RUTA, which infers a set of additive value functions from the preference information referring to the desired ranks of some reference alternatives. Real-life experience indicates that people willingly refer to the range of allowed ranks that a particular alternative should attain, or to constraints on the final scores of the alternatives. We develop a mathematical model for incorporating such preference information via mixed-integer linear programming (MILP). Then, we discuss how decision making could be supported with the use of the already proposed extreme ranking analysis (ERA), which indicates the best and worst ranks gained by each alternative over the set of compatible preference model instances. We also introduce a new interactive UTA-like technique, which aims at selecting a single value function representing the outcomes of ERA. In the interactive process, the decision maker (DM) is assigning priorities to different pre-defined targets, which are built on results of ERA, and refer to the comparison of the best and/or worst ranks for pairs of alternatives. In particular, the DM may choose to emphasize or neglect the advantage of some alternatives over the others, in terms of results of ERA. In this way, one obtains a synthetic representation of extreme ranking analysis at a higher level of abstraction.

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    Bibliographic Info

    Article provided by Elsevier in its journal Omega.

    Volume (Year): 41 (2013)
    Issue (Month): 4 ()
    Pages: 735-751

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    Handle: RePEc:eee:jomega:v:41:y:2013:i:4:p:735-751

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    Related research

    Keywords: Multiple criteria ranking; Additive value function; UTA-like method; Preference disaggregation; Rank-related requirements;

    References

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    1. Beuthe, Michel & Scannella, Giuseppe, 2001. "Comparative analysis of UTA multicriteria methods," European Journal of Operational Research, Elsevier, Elsevier, vol. 130(2), pages 246-262, April.
    2. Park, Kyung Sam & Kim, Soung Hie, 1997. "Tools for interactive multiattribute decisionmaking with incompletely identified information," European Journal of Operational Research, Elsevier, Elsevier, vol. 98(1), pages 111-123, April.
    3. Morais, Danielle C. & de Almeida, Adiel Teixeira, 2012. "Group decision making on water resources based on analysis of individual rankings," Omega, Elsevier, Elsevier, vol. 40(1), pages 42-52, January.
    4. Grigoroudis, E. & Orfanoudaki, E. & Zopounidis, C., 2012. "Strategic performance measurement in a healthcare organisation: A multiple criteria approach based on balanced scorecard," Omega, Elsevier, Elsevier, vol. 40(1), pages 104-119, January.
    5. Miłosz Kadziński & Roman Słowiński, 2012. "Interactive Robust Cone Contraction Method For Multiple Objective Optimization Problems," International Journal of Information Technology & Decision Making (IJITDM), World Scientific Publishing Co. Pte. Ltd., World Scientific Publishing Co. Pte. Ltd., vol. 11(02), pages 327-357.
    6. Kadziński, Miłosz & Greco, Salvatore & Słowiński, Roman, 2012. "Selection of a representative value function in robust multiple criteria ranking and choice," European Journal of Operational Research, Elsevier, Elsevier, vol. 217(3), pages 541-553.
    7. Kadziński, MiŁosz & Greco, Salvatore & SŁowiński, Roman, 2012. "Extreme ranking analysis in robust ordinal regression," Omega, Elsevier, Elsevier, vol. 40(4), pages 488-501.
    8. Durbach, Ian N. & Stewart, Theodor J., 2012. "A comparison of simplified value function approaches for treating uncertainty in multi-criteria decision analysis," Omega, Elsevier, Elsevier, vol. 40(4), pages 456-464.
    9. Mousseau, Vincent & Figueira, Jose & Dias, Luis & Gomes da Silva, Carlos & Climaco, Joao, 2003. "Resolving inconsistencies among constraints on the parameters of an MCDA model," European Journal of Operational Research, Elsevier, Elsevier, vol. 147(1), pages 72-93, May.
    10. Tavares, L. Valadares, 2012. "An acyclic outranking model to support group decision making within organizations," Omega, Elsevier, Elsevier, vol. 40(6), pages 782-790.
    11. Stewart, Theodor J., 1987. "Pruning of decision alternatives in multiple criteria decision making, based on the U method for estimating utilities," European Journal of Operational Research, Elsevier, Elsevier, vol. 28(1), pages 79-88, January.
    12. Matsatsinis, Nikolaos F. & Samaras, Andreas P., 2001. "MCDA and preference disaggregation in group decision support systems," European Journal of Operational Research, Elsevier, Elsevier, vol. 130(2), pages 414-429, April.
    13. Doumpos, Michael & Zopounidis, Constantin, 2011. "Preference disaggregation and statistical learning for multicriteria decision support: A review," European Journal of Operational Research, Elsevier, Elsevier, vol. 209(3), pages 203-214, March.
    14. Jacquet-Lagreze, E. & Siskos, J., 1982. "Assessing a set of additive utility functions for multicriteria decision-making, the UTA method," European Journal of Operational Research, Elsevier, Elsevier, vol. 10(2), pages 151-164, June.
    15. Figueira, José Rui & Greco, Salvatore & Slowinski, Roman, 2009. "Building a set of additive value functions representing a reference preorder and intensities of preference: GRIP method," European Journal of Operational Research, Elsevier, Elsevier, vol. 195(2), pages 460-486, June.
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    Cited by:
    1. Spliet, Remy & Tervonen, Tommi, 2014. "Preference inference with general additive value models and holistic pair-wise statements," European Journal of Operational Research, Elsevier, Elsevier, vol. 232(3), pages 607-612.
    2. Kadziński, Miłosz & Tervonen, Tommi, 2013. "Robust multi-criteria ranking with additive value models and holistic pair-wise preference statements," European Journal of Operational Research, Elsevier, Elsevier, vol. 228(1), pages 169-180.
    3. Feng, Bo & Lai, Fujun, 2014. "Multi-attribute group decision making with aspirations: A case study," Omega, Elsevier, Elsevier, vol. 44(C), pages 136-147.

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