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Implementations of PACMAN

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  • Angilella, Silvia
  • Giarlotta, Alfio

Abstract

Passive and Active Compensability Multicriteria ANalysis (PACMAN) is a multiple criteria methodology based on a decision maker oriented notion of compensation, called compensability. An important feature of PACMAN is a possible asymmetry of the connected decision procedure, since compensability is determined for each ordered pair of criteria, distinguishing the compensating criterion from the compensated one. Here we give a notion of implementation of PACMAN, which allows a concrete modelization of a multiple criteria decision problem. We study regular implementations of PACMAN and their monotonicity properties. We also examine several regular implementations, which satisfy some additional properties. Particular emphasis is given to a regular implementation of PACMAN that produces the lexicographic ordering.

Suggested Citation

  • Angilella, Silvia & Giarlotta, Alfio, 2009. "Implementations of PACMAN," European Journal of Operational Research, Elsevier, vol. 194(2), pages 474-495, April.
    • Handle: RePEc:eee:ejores:v:194:y:2009:i:2:p:474-495
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    References listed on IDEAS

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    6. Peter C. Fishburn, 1974. "Exceptional Paper--Lexicographic Orders, Utilities and Decision Rules: A Survey," Management Science, INFORMS, vol. 20(11), pages 1442-1471, July.
    7. Giarlotta, Alfio, 2001. "Multicriteria compensability analysis," European Journal of Operational Research, Elsevier, vol. 133(1), pages 190-209, August.
    8. Thomas L. Saaty, 2005. "The Analytic Hierarchy and Analytic Network Processes for the Measurement of Intangible Criteria and for Decision-Making," International Series in Operations Research & Management Science, in: Multiple Criteria Decision Analysis: State of the Art Surveys, chapter 0, pages 345-405, Springer.
    9. Matarazzo, Benedetto, 1991. "as a compromise between outranking methods and," European Journal of Operational Research, Elsevier, vol. 54(1), pages 48-65, September.
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    Cited by:

    1. 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.

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