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A Spreadsheet Module for Consistent Consensus Building in AHP-Group Decision Making

Author

Listed:
  • JosÉ MarÍa

    (Universidad de Zaragoza)

  • Moreno JimÉnez

    (Universidad de Zaragoza)

  • Juan AguarÓn Joven

    (Universidad de Zaragoza)

  • AgustÍn Raluy Pirla

    (Universidad de Zaragoza)

  • Alberto TurÓn Lanuza

    (Universidad de Zaragoza)

Abstract

This paper presents a spreadsheet module developed with Microsoft Excel and Visual Basic to search for consensus when dealing with AHP in group decision making. On the basis of the theoretical results included in the paper Moreno-Jiménez et al. (2003), this spreadsheet module allows us to construct, in a local context (one criterion), the Consistent Consensus Matrix (CCM) corresponding to the core of consistency associated with the actors involved in the decision making process. By means of simulation techniques, this module provides, for each of the different values of the inconsistency thresholds considered, the preference structures derived from the interval incomplete matrix (CCM) that represents the group’s core of consistency. This information will be used to establish consensus paths between the actors involved in the resolution process, one of the most important goals in distributed and participatory decision making.

Suggested Citation

  • JosÉ MarÍa & Moreno JimÉnez & Juan AguarÓn Joven & AgustÍn Raluy Pirla & Alberto TurÓn Lanuza, 2005. "A Spreadsheet Module for Consistent Consensus Building in AHP-Group Decision Making," Group Decision and Negotiation, Springer, vol. 14(2), pages 89-108, March.
    • Handle: RePEc:spr:grdene:v:14:y:2005:i:2:d:10.1007_s10726-005-2407-8
    DOI: 10.1007/s10726-005-2407-8
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    References listed on IDEAS

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    1. Escobar, M. T. & Moreno-Jimenez, J. M., 2000. "Reciprocal distributions in the analytic hierarchy process," European Journal of Operational Research, Elsevier, vol. 123(1), pages 154-174, May.
    2. Van den Honert, R. C., 1998. "Stochastic group preference modelling in the multiplicative AHP: A model of group consensus," European Journal of Operational Research, Elsevier, vol. 110(1), pages 99-111, October.
    3. Brugha, Cathal M., 2000. "Relative measurement and the power function," European Journal of Operational Research, Elsevier, vol. 121(3), pages 627-640, March.
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    5. 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.
    6. Saaty, Thomas L., 1990. "Eigenvector and logarithmic least squares," European Journal of Operational Research, Elsevier, vol. 48(1), pages 156-160, September.
    7. Escobar, María Teresa & Moreno-Jiménez, José María, 2002. "A linkage between the Analytic Hierarchy Process and the Compromise Programming Models," Omega, Elsevier, vol. 30(5), pages 359-365, October.
    8. Forman, Ernest & Peniwati, Kirti, 1998. "Aggregating individual judgments and priorities with the analytic hierarchy process," European Journal of Operational Research, Elsevier, vol. 108(1), pages 165-169, July.
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    Cited by:

    1. 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.
    2. Ahadi, Pedram & Fakhrabadi, Farbod & Pourshaghaghy, Alireza & Kowsary, Farshad, 2023. "Optimal site selection for a solar power plant in Iran via the Analytic Hierarchy Process (AHP)," Renewable Energy, Elsevier, vol. 215(C).
    3. Bowen Zhang & Yucheng Dong & Enrique Herrera-Viedma, 2019. "Group Decision Making with Heterogeneous Preference Structures: An Automatic Mechanism to Support Consensus Reaching," Group Decision and Negotiation, Springer, vol. 28(3), pages 585-617, June.
    4. S. Lipovetsky, 2009. "Global Priority Estimation in Multiperson Decision Making," Journal of Optimization Theory and Applications, Springer, vol. 140(1), pages 77-91, January.

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