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A linear implementation of PACMAN

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  • Angilella, Silvia
  • Giarlotta, Alfio
  • Lamantia, Fabio

Abstract

PACMAN (Passive and Active Compensability Multicriteria ANalysis) is a multiple criteria methodology based on a decision maker oriented notion of compensation, called compensability. A basic step of PACMAN is the construction of compensatory functions, which model intercriteria relations for each pair of criteria on the basis of compensability. In this paper we examine a simplified version of PACMAN, which uses the so-called linear compensatory functions and consistently reduces the overall complexity of its implementation in practical cases. We use Mathematica® to develop a computer-aided graphical interface that eases the interaction among the actors of the decision process at each stage of PACMAN. We also propose the possibility to perform a sensitivity analysis in this simplified version of PACMAN as a nonlinear optimization problem.

Suggested Citation

  • Angilella, Silvia & Giarlotta, Alfio & Lamantia, Fabio, 2010. "A linear implementation of PACMAN," European Journal of Operational Research, Elsevier, vol. 205(2), pages 401-411, September.
    • Handle: RePEc:eee:ejores:v:205:y:2010:i:2:p:401-411
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    References listed on IDEAS

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    1. Angilella, Silvia & Giarlotta, Alfio, 2009. "Implementations of PACMAN," European Journal of Operational Research, Elsevier, vol. 194(2), pages 474-495, April.
    2. Jacquet-Lagreze, E. & Siskos, J., 1982. "Assessing a set of additive utility functions for multicriteria decision-making, the UTA method," European Journal of Operational Research, Elsevier, vol. 10(2), pages 151-164, June.
    3. JosÉ Figueira & Salvatore Greco & Matthias Ehrogott, 2005. "Multiple Criteria Decision Analysis: State of the Art Surveys," International Series in Operations Research and Management Science, Springer, number 978-0-387-23081-8, December.
    4. Bouyssou, Denis, 1986. "Some remarks on the notion of compensation in MCDM," European Journal of Operational Research, Elsevier, vol. 26(1), pages 150-160, July.
    5. Michel Grabisch & Christophe Labreuche, 2016. "Fuzzy Measures and Integrals in MCDA," International Series in Operations Research & Management Science, in: Salvatore Greco & Matthias Ehrgott & José Rui Figueira (ed.), Multiple Criteria Decision Analysis, edition 2, chapter 0, pages 553-603, Springer.
    6. Jean-Marc Martel & Benedetto Matarazzo, 2005. "Other Outranking Approaches," International Series in Operations Research & Management Science, in: Multiple Criteria Decision Analysis: State of the Art Surveys, chapter 0, pages 197-259, Springer.
    7. Wolters, W. T. M. & Mareschal, B., 1995. "Novel types of sensitivity analysis for additive MCDM methods," European Journal of Operational Research, Elsevier, vol. 81(2), pages 281-290, March.
    8. Giarlotta, Alfio, 2001. "Multicriteria compensability analysis," European Journal of Operational Research, Elsevier, vol. 133(1), pages 190-209, August.
    9. Bertrand Mareschal & Jean Pierre Brans & Philippe Vincke, 1986. "How to select and how to rank projects: the Prométhée method," ULB Institutional Repository 2013/9307, ULB -- Universite Libre de Bruxelles.
    10. Brans, J. P. & Vincke, Ph. & Mareschal, B., 1986. "How to select and how to rank projects: The method," European Journal of Operational Research, Elsevier, vol. 24(2), pages 228-238, February.
    11. Denis Bouyssou & Jean-Claude Vansnick, 1986. "Noncompensatory and generalized noncompensatory preference structures," Post-Print hal-02920182, HAL.
    12. Christophe Labreuche & Michel Grabisch, 2003. "The Choquet integral for the aggregation of interval scales in multicriteria decision making," Post-Print hal-00272090, HAL.
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    More about this item

    Keywords

    C00 D00 D81 Multiple criteria analysis Pairwise criterion comparison approach Compensation Compensability analysis Compensatory function Sensitivity analysis;

    JEL classification:

    • C00 - Mathematical and Quantitative Methods - - General - - - General
    • D00 - Microeconomics - - General - - - General
    • D81 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Criteria for Decision-Making under Risk and Uncertainty

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