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An ordinal multi-criteria decision-making procedure under imprecise linguistic assessments

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  • García-Lapresta, José Luis
  • González del Pozo, Raquel

Abstract

Many decision-making problems such as quality control analysis, market surveys or sensory analysis require ordered qualitative scales, rather than numerical ones. It is very common to assign some cardinal mathematical objects, such as numerical values, intervals of real numbers or fuzzy numbers, to the linguistic terms of ordered qualitative scales. However, when agents perceive that the psychological proximity between each pair of consecutive terms of the scale is not identical, these conversions are meaningless and an ordinal approach to deal with these non-uniform ordered qualitative scales is more appropriate. The aim of this paper is to introduce an ordinal multi-criteria decision-making procedure for ranking alternatives in the setting of ordered qualitative scales that are non-necessarily uniform. The possibility of doubt is also considered, by allowing agents to assign two consecutive terms of the scale when they hesitate. The proposed procedure is applied to a real case study in which nine experts assessed eight wines regarding different criteria.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:ejores:v:279:y:2019:i:1:p:159-167
    DOI: 10.1016/j.ejor.2019.05.015
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    References listed on IDEAS

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    1. Fasolo, Barbara & Bana e Costa, Carlos A., 2014. "Tailoring value elicitation to decision makers' numeracy and fluency: Expressing value judgments in numbers or words," Omega, Elsevier, vol. 44(C), pages 83-90.
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    Cited by:

    1. Ferreira, Diogo Cunha & Marques, Rui Cunha & Nunes, Alexandre Morais & Figueira, José Rui, 2021. "Customers satisfaction in pediatric inpatient services: A multiple criteria satisfaction analysis," Socio-Economic Planning Sciences, Elsevier, vol. 78(C).
    2. García-Lapresta, José Luis & Marques Pereira, Ricardo Alberto, 2022. "An extension of Majority Judgment to non-uniform qualitative scales," European Journal of Operational Research, Elsevier, vol. 301(2), pages 667-674.
    3. Montes, Ignacio & Rademaker, Michael & Pérez-Fernández, Raúl & De Baets, Bernard, 2020. "A correspondence between voting procedures and stochastic orderings," European Journal of Operational Research, Elsevier, vol. 285(3), pages 977-987.
    4. 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.

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