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The precise consistency consensus matrix in a local AHP-group decision making context

Author

Listed:
  • Juan Aguarón

    (Universidad de Zaragoza)

  • María Teresa Escobar

    (Universidad de Zaragoza)

  • José María Moreno-Jiménez

    (Universidad de Zaragoza)

Abstract

A new decisional tool, the consensus consistency matrix (CCM) has recently been proposed for dealing with AHP-group decision making (AHP-GDM) in a local context (a single criterion). Each entry of this matrix, based on the property of consistency, corresponds to the range of values or interval in which all the decision makers are simultaneously consistent in their initial matrices. The main limitation of the CCM is that, on many occasions, it is not possible to obtain a matrix with the minimum $$n-1$$ n - 1 judgments that are required to derive the priorities. In this local AHP context, using the row geometric mean as the prioritisation procedure, this paper presents an extension of the CCM, the precise consensus consistency matrix (PCCM), which significantly mitigates this problem. By identifying precise values in the common consistency intervals, the PCCM automatically allows the number of entries in the CCM to be increased. The PCCM provides more informed and participative GDM and offers more accurate estimations for the group’s priorities. It can also be used as a starting point for posterior negotiation processes between the actors and it can be employed in global AHP-GDM contexts (hierarchies). The new decisional tool has been applied to a real-life experience concerned with the analysis of the integral viability of public investment projects, more specifically, the economic valuation of social aspects.

Suggested Citation

  • Juan Aguarón & María Teresa Escobar & José María Moreno-Jiménez, 2016. "The precise consistency consensus matrix in a local AHP-group decision making context," Annals of Operations Research, Springer, vol. 245(1), pages 245-259, October.
    • Handle: RePEc:spr:annopr:v:245:y:2016:i:1:d:10.1007_s10479-014-1576-8
    DOI: 10.1007/s10479-014-1576-8
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    1. Aguarón, Juan & Escobar, María Teresa & Moreno-Jiménez, José María, 2021. "Reducing inconsistency measured by the geometric consistency index in the analytic hierarchy process," European Journal of Operational Research, Elsevier, vol. 288(2), pages 576-583.
    2. Juan Aguarón & María Teresa Escobar & José María Moreno-Jiménez & Alberto Turón, 2020. "The Triads Geometric Consistency Index in AHP-Pairwise Comparison Matrices," Mathematics, MDPI, vol. 8(6), pages 1-17, June.
    3. Juan Aguarón & María Teresa Escobar & José María Moreno-Jiménez & Alberto Turón, 2019. "AHP-Group Decision Making Based on Consistency," Mathematics, MDPI, vol. 7(3), pages 1-15, March.
    4. Zhang, Hengjie & Dong, Yucheng & Chiclana, Francisco & Yu, Shui, 2019. "Consensus efficiency in group decision making: A comprehensive comparative study and its optimal design," European Journal of Operational Research, Elsevier, vol. 275(2), pages 580-598.
    5. Matteo Brunelli & Michele Fedrizzi, 2019. "A general formulation for some inconsistency indices of pairwise comparisons," Annals of Operations Research, Springer, vol. 274(1), pages 155-169, March.
    6. Idil Yavuz & Orrin Cooper, 2017. "A dynamic clustering method to improve the coherency of an ANP Supermatrix," Annals of Operations Research, Springer, vol. 254(1), pages 507-531, July.
    7. Abramic, A. & García Mendoza, A. & Haroun, R., 2021. "Introducing offshore wind energy in the sea space: Canary Islands case study developed under Maritime Spatial Planning principles," Renewable and Sustainable Energy Reviews, Elsevier, vol. 145(C).
    8. Juan Aguarón & María Teresa Escobar & José María Moreno-Jiménez, 2023. "Reducing incompatibility in a local AHP-group decision making context," Annals of Operations Research, Springer, vol. 326(1), pages 1-26, July.
    9. Pietro Amenta & Alessio Ishizaka & Antonio Lucadamo & Gabriella Marcarelli & Vijay Vyas, 2020. "Computing a common preference vector in a complex multi-actor and multi-group decision system in Analytic Hierarchy Process context," Annals of Operations Research, Springer, vol. 284(1), pages 33-62, January.
    10. Jahangir Wasim & Vijay Vyas & Pietro Amenta & Antonio Lucadamo & Gabriella Marcarelli & Alessio Ishizaka, 2023. "Deriving the weights for aggregating judgments in a multi-group problem: an application to curriculum development in entrepreneurship," Annals of Operations Research, Springer, vol. 326(2), pages 853-877, July.
    11. José Matheus Bezerra Santos Amorim & Saulo de Tarso Marques Bezerra & Maísa Mendonça Silva & Lyanne Cibely Oliveira Sousa, 2020. "Multicriteria Decision Support for Selection of Alternatives Directed to Integrated Urban Water Management," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 34(13), pages 4253-4269, October.

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