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Multi-dimensional stability analysis for Analytic Network Process models

Author

Listed:
  • M. Gabriela Sava

    (Clemson University)

  • Luis G. Vargas

    (University of Pittsburgh)

  • Jerrold H. May

    (University of Pittsburgh)

  • James G. Dolan

    (University of Rochester Medical Center)

Abstract

The decision-making process involves, most of the time, working with limited and/or incomplete information to obtain a one-time synthesis of one’s preferences. However, additional information might be acquired by the decision-maker at a later time. To identify the impact that the additional information could have on the initial result, we developed a new multi-dimensional stability analysis that provides a comprehensive image of how preferences change or evolve, as perturbations are applied to the criteria weights, without reiterating the preference elicitation process. The insights provided by the new method helped define a set of stability measures useful in a practical setting. To show the direct implementation of the findings of the multi-dimensional stability analysis, we applied the method developed to a randomly generated ANP model.

Suggested Citation

  • M. Gabriela Sava & Luis G. Vargas & Jerrold H. May & James G. Dolan, 2022. "Multi-dimensional stability analysis for Analytic Network Process models," Annals of Operations Research, Springer, vol. 316(2), pages 1401-1424, September.
    • Handle: RePEc:spr:annopr:v:316:y:2022:i:2:d:10.1007_s10479-020-03553-4
    DOI: 10.1007/s10479-020-03553-4
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    References listed on IDEAS

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    1. Saaty, Thomas L., 2003. "Decision-making with the AHP: Why is the principal eigenvector necessary," European Journal of Operational Research, Elsevier, vol. 145(1), pages 85-91, February.
    2. Durbach, Ian & Lahdelma, Risto & Salminen, Pekka, 2014. "The analytic hierarchy process with stochastic judgements," European Journal of Operational Research, Elsevier, vol. 238(2), pages 552-559.
    3. Åberg, Per & Svensson, Carl Johan & Caswell, Hal & Pavia, Henrik, 2009. "Environment-specific elasticity and sensitivity analysis of the stochastic growth rate," Ecological Modelling, Elsevier, vol. 220(5), pages 605-610.
    4. Thomas L. Saaty, 1986. "Axiomatic Foundation of the Analytic Hierarchy Process," Management Science, INFORMS, vol. 32(7), pages 841-855, July.
    5. Risto Lahdelma & Pekka Salminen, 2001. "SMAA-2: Stochastic Multicriteria Acceptability Analysis for Group Decision Making," Operations Research, INFORMS, vol. 49(3), pages 444-454, June.
    6. May, Jerrold H. & Shang, Jennifer & Tjader, Youxu Cai & Vargas, Luis G., 2013. "A new methodology for sensitivity and stability analysis of analytic network models," European Journal of Operational Research, Elsevier, vol. 224(1), pages 180-188.
    7. Yoram Wind & Thomas L. Saaty, 1980. "Marketing Applications of the Analytic Hierarchy Process," Management Science, INFORMS, vol. 26(7), pages 641-658, July.
    8. Thomas L. Saaty & Luis G. Vargas, 2012. "Models, Methods, Concepts & Applications of the Analytic Hierarchy Process," International Series in Operations Research and Management Science, Springer, edition 2, number 978-1-4614-3597-6, September.
    9. Thomas L. Saaty, 2013. "The Modern Science of Multicriteria Decision Making and Its Practical Applications: The AHP/ANP Approach," Operations Research, INFORMS, vol. 61(5), pages 1101-1118, October.
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