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The Core of Consistency in AHP-Group Decision Making

Author

Listed:
  • J. M. Moreno-Jiménez

    (Facultad de Económicas)

  • J. Aguarón

    (Facultad de Económicas)

  • M. T. Escobar

    (Facultad de Económicas)

Abstract

This paper presents a new tool, the Consistency Consensus Matrix, designed to encourage the search for consensus in group decision making when using the Analytic Hierarchy Process (AHP). The procedure exploits one of the characteristics of AHP: the possibility of measuring consistency in judgement elicitation. Using two other tools, Preference Structures and Stability Intervals, we derive the Consistency Consensus Matrix that corresponds to the actor’s core of consistency. The performance analysis of the preference structure obtained from this matrix provides us with valuable information in search for knowledge. The new tool is illustrated by means of a case study adapted from a real-life experiment in e-democracy developed for the City Council of Zaragoza (Spain).

Suggested Citation

  • J. M. Moreno-Jiménez & J. Aguarón & M. T. Escobar, 2008. "The Core of Consistency in AHP-Group Decision Making," Group Decision and Negotiation, Springer, vol. 17(3), pages 249-265, May.
    • Handle: RePEc:spr:grdene:v:17:y:2008:i:3:d:10.1007_s10726-007-9072-z
    DOI: 10.1007/s10726-007-9072-z
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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. Moreno-Jiménez, José María & Polasek, Wolfgang, 2003. "E-Democracy and Knowledge. A Multicriteria Framework for the New Democratic Era," Economics Series 142, Institute for Advanced Studies.
    3. 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.
    4. Aguaron, Juan & Escobar, Maria Teresa & Moreno-Jimenez, Jose Maria, 2003. "Consistency stability intervals for a judgement in AHP decision support systems," European Journal of Operational Research, Elsevier, vol. 145(2), pages 382-393, March.
    5. 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.
    Full references (including those not matched with items on IDEAS)

    Citations

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    Cited by:

    1. 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.
    2. Bernasconi, Michele & Choirat, Christine & Seri, Raffaello, 2014. "Empirical properties of group preference aggregation methods employed in AHP: Theory and evidence," European Journal of Operational Research, Elsevier, vol. 232(3), pages 584-592.
    3. 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.
    4. 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.
    5. Wenqi Liu & Hengjie Zhang & Haiming Liang & Cong-cong Li & Yucheng Dong, 2022. "Managing Consistency and Consensus Issues in Group Decision-Making with Self-Confident Additive Preference Relations and Without Feedback: A Nonlinear Optimization Method," Group Decision and Negotiation, Springer, vol. 31(1), pages 213-240, February.
    6. Dušan M. Milošević & Mimica R. Milošević & Dušan J. Simjanović, 2020. "Implementation of Adjusted Fuzzy AHP Method in the Assessment for Reuse of Industrial Buildings," Mathematics, MDPI, vol. 8(10), pages 1-24, October.
    7. Manuel Salvador & Alfredo Altuzarra & Pilar Gargallo & José María Moreno-Jiménez, 2015. "A Bayesian Approach to Maximising Inner Compatibility in AHP-Systemic Decision Making," Group Decision and Negotiation, Springer, vol. 24(4), pages 655-673, July.
    8. Wen-Hsien Tsai & Ching-Chien Yang & Jun-Der Leu & Ya-Fen Lee & Chih-Hao Yang, 2013. "An Integrated Group Decision Making Support Model for Corporate Financing Decisions," Group Decision and Negotiation, Springer, vol. 22(6), pages 1103-1127, November.
    9. Petra Grošelj & Špela Pezdevšek Malovrh & Lidija Zadnik Stirn, 2011. "Methods based on data envelopment analysis for deriving group priorities in analytic hierarchy process," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 19(3), pages 267-284, September.
    10. 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.
    11. Virgilio López-Morales & Joel Suárez-Cansino, 2017. "Reliable Intervals Method in Decision-Based Support Models for Group Decision-Making," International Journal of Information Technology & Decision Making (IJITDM), World Scientific Publishing Co. Pte. Ltd., vol. 16(01), pages 183-204, January.
    12. Toly Chen, 2021. "A diversified AHP-tree approach for multiple-criteria supplier selection," Computational Management Science, Springer, vol. 18(4), pages 431-453, October.

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