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Priority Elicitation in the AHP by a Pareto Envelope-Based Selection Algorithm

In: Multiple Criteria Decision Making for Sustainable Energy and Transportation Systems

Author

Listed:
  • Ludmil Mikhailov

    (Manchester Business School, University of Manchester)

  • Joshua Knowles

Abstract

This paper is concerned with the problem of deriving priorities (criteria weights and scores of alternatives) from pairwise comparison judgments, in the framework of the Analytical Hierarchy Process. The elicitation of priorities is represented as a multi-criteria optimization problem and the multiobjective evolutionary algorithm PESA-II is applied for its solving. The method and the performance of the evolutionary algorithm are illustrated by an example, and the results are compared to those obtained by other algorithms.

Suggested Citation

  • Ludmil Mikhailov & Joshua Knowles, 2010. "Priority Elicitation in the AHP by a Pareto Envelope-Based Selection Algorithm," Lecture Notes in Economics and Mathematical Systems, in: Matthias Ehrgott & Boris Naujoks & Theodor J. Stewart & Jyrki Wallenius (ed.), Multiple Criteria Decision Making for Sustainable Energy and Transportation Systems, pages 249-257, Springer.
    • Handle: RePEc:spr:lnechp:978-3-642-04045-0_21
    DOI: 10.1007/978-3-642-04045-0_21
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    Cited by:

    1. Cooper, Orrin & Yavuz, Idil, 2016. "Linking validation: A search for coherency within the Supermatrix," European Journal of Operational Research, Elsevier, vol. 252(1), pages 232-245.
    2. Siraj, Sajid & Mikhailov, Ludmil & Keane, John, 2012. "A heuristic method to rectify intransitive judgments in pairwise comparison matrices," European Journal of Operational Research, Elsevier, vol. 216(2), pages 420-428.
    3. Kou, Gang & Ergu, Daji & Shang, Jennifer, 2014. "Enhancing data consistency in decision matrix: Adapting Hadamard model to mitigate judgment contradiction," European Journal of Operational Research, Elsevier, vol. 236(1), pages 261-271.
    4. Siraj, S. & Mikhailov, L. & Keane, J.A., 2012. "Preference elicitation from inconsistent judgments using multi-objective optimization," European Journal of Operational Research, Elsevier, vol. 220(2), pages 461-471.

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