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Using Different Qualitative Scales in a Multi-Criteria Decision-Making Procedure

Author

Listed:
  • Raquel González del Pozo

    (PRESAD Research Group, IMUVA, Departamento de Economía Aplicada, Universidad de Valladolid, 47011 Valladolid, Spain)

  • Luis C. Dias

    (CeBER, Faculty of Economics, University of Coimbra, 3004-512 Coimbra, Portugal)

  • José Luis García-Lapresta

    (PRESAD Research Group, BORDA Research Unit, IMUVA, Departamento de Economía Aplicada, Universidad de Valladolid, 47011 Valladolid, Spain)

Abstract

Many decision problems manage linguistic information assessed through several ordered qualitative scales. In these contexts, the main problem arising is how to aggregate this qualitative information. In this paper, we present a multi-criteria decision-making procedure that ranks a set of alternatives assessed by means of a specific ordered qualitative scale for each criterion. These ordered qualitative scales can be non-uniform and be formed by a different number of linguistic terms. The proposed procedure follows an ordinal approach by means of the notion of ordinal proximity measure that assigns an ordinal degree of proximity to each pair of linguistic terms of the qualitative scales. To manage the ordinal degree of proximity from different ordered qualitative scales, we provide a homogenization process. We also introduce a stochastic approach to assess the robustness of the conclusions.

Suggested Citation

  • Raquel González del Pozo & Luis C. Dias & José Luis García-Lapresta, 2020. "Using Different Qualitative Scales in a Multi-Criteria Decision-Making Procedure," Mathematics, MDPI, vol. 8(3), pages 1-20, March.
    • Handle: RePEc:gam:jmathe:v:8:y:2020:i:3:p:458-:d:336587
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    References listed on IDEAS

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    1. Lahdelma, Risto & Miettinen, Kaisa & Salminen, Pekka, 2003. "Ordinal criteria in stochastic multicriteria acceptability analysis (SMAA)," European Journal of Operational Research, Elsevier, vol. 147(1), pages 117-127, May.
    2. Marichal, Jean-Luc & Roubens, Marc, 2000. "Determination of weights of interacting criteria from a reference set," European Journal of Operational Research, Elsevier, vol. 124(3), pages 641-650, August.
    3. Katrin Borcherding & Thomas Eppel & Detlof von Winterfeldt, 1991. "Comparison of Weighting Judgments in Multiattribute Utility Measurement," Management Science, INFORMS, vol. 37(12), pages 1603-1619, December.
    4. Herrera, F. & Martinez, L. & Sanchez, P. J., 2005. "Managing non-homogeneous information in group decision making," European Journal of Operational Research, Elsevier, vol. 166(1), pages 115-132, October.
    5. Tamar Gadrich & Emil Bashkansky & Ričardas Zitikis, 2015. "Assessing variation: a unifying approach for all scales of measurement," Quality & Quantity: International Journal of Methodology, Springer, vol. 49(3), pages 1145-1167, May.
    6. García-Lapresta, José Luis & González del Pozo, Raquel, 2019. "An ordinal multi-criteria decision-making procedure under imprecise linguistic assessments," European Journal of Operational Research, Elsevier, vol. 279(1), pages 159-167.
    7. Solymosi, Tamas & Dombi, Jozsef, 1986. "A method for determining the weights of criteria: The centralized weights," European Journal of Operational Research, Elsevier, vol. 26(1), pages 35-41, July.
    8. Larichev, Oleg I., 2001. "Ranking multicriteria alternatives: The method ZAPROS III," European Journal of Operational Research, Elsevier, vol. 131(3), pages 550-558, June.
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