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Group Decision-Based Construction of Scenarios for Multicriteria Analysis in Conditions of Uncertainty on the Basis of Quantitative and Qualitative Information

Author

Listed:
  • L. R. Figueiredo

    (Pontifícia Universidade Católica de Minas Gerais)

  • E. A. Frej

    (Federal University of Pernambuco)

  • G. L. Soares

    (Pontifícia Universidade Católica de Minas Gerais)

  • P. Ya. Ekel

    (Pontifícia Universidade Católica de Minas Gerais)

Abstract

This study examines a general scheme of multicriteria decision-making under uncertainty based on quantitative and qualitative information. In its original form, the general scheme uses qualitative information at the final decision stage, only if the quantitative information is unable to generate unique solutions. Considering that many problems require objectives based on qualitative information at all decision stages, the results of Ramalho et al. (2019) can provide such solutions. However, the processing of qualitative information in Ramalho et al. (2019) is based on applying a very simple approach to aggregating individual preferences without analyzing any type of consensus information. Therefore, the present study sets out to show that representative combinations of initial data, states of nature or scenarios can be constructed by using qualitative information directly, based on aggregating individual preferences after achieving the necessary consensus. In particular, a new scheme for consensus construction is proposed. Using this scheme enables negative points inherent in traditional approaches to be avoided and uncertainty levels to be reduced when estimating coefficients of objective functions based on qualitative information. An illustrative example is presented to demonstrate the results that the new proposal can achieve.

Suggested Citation

  • L. R. Figueiredo & E. A. Frej & G. L. Soares & P. Ya. Ekel, 2021. "Group Decision-Based Construction of Scenarios for Multicriteria Analysis in Conditions of Uncertainty on the Basis of Quantitative and Qualitative Information," Group Decision and Negotiation, Springer, vol. 30(3), pages 665-696, June.
    • Handle: RePEc:spr:grdene:v:30:y:2021:i:3:d:10.1007_s10726-021-09728-z
    DOI: 10.1007/s10726-021-09728-z
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    References listed on IDEAS

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    1. R. E. Bellman & L. A. Zadeh, 1970. "Decision-Making in a Fuzzy Environment," Management Science, INFORMS, vol. 17(4), pages 141-164, December.
    2. Ramanathan, R. & Ganesh, L. S., 1994. "Group preference aggregation methods employed in AHP: An evaluation and an intrinsic process for deriving members' weightages," European Journal of Operational Research, Elsevier, vol. 79(2), pages 249-265, December.
    3. Saaty, Thomas L. & Vargas, Luis G. & Dellmann, Klaus, 2003. "The allocation of intangible resources: the analytic hierarchy process and linear programming," Socio-Economic Planning Sciences, Elsevier, vol. 37(3), pages 169-184, September.
    4. Yoram Wind & Thomas L. Saaty, 1980. "Marketing Applications of the Analytic Hierarchy Process," Management Science, INFORMS, vol. 26(7), pages 641-658, July.
    5. Herrera, F. & Herrera-Viedma, E. & Chiclana, F., 2001. "Multiperson decision-making based on multiplicative preference relations," European Journal of Operational Research, Elsevier, vol. 129(2), pages 372-385, March.
    6. Francineide Morais Bezerra & Paulo Melo & João Paulo Costa, 2014. "Visual and Interactive Comparative Analysis of Individual Opinions: A Group Decision Support Tool," Group Decision and Negotiation, Springer, vol. 23(1), pages 101-125, January.
    7. R. O. Parreiras & P. Ya. Ekel & D. C. Morais, 2012. "Fuzzy Set Based Consensus Schemes for Multicriteria Group Decision making Applied to Strategic Planning," Group Decision and Negotiation, Springer, vol. 21(2), pages 153-183, March.
    8. Yucheng Dong & Cong-Cong Li & Yinfeng Xu & Xin Gu, 2015. "Consensus-Based Group Decision Making Under Multi-granular Unbalanced 2-Tuple Linguistic Preference Relations," Group Decision and Negotiation, Springer, vol. 24(2), pages 217-242, March.
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