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A GP Formulation for Aggregating Preferences with Interval Assessments

In: Multiobjective Programming and Goal Programming

Author

Listed:
  • Esther Dopazo

    (Campus de Montegancedo)

  • Mauricio Ruiz-Tagle

    (Universidad Austral de Chile)

Abstract

The purpose of this paper is to develop methods for the estimation of punctual priority weights from interval pairwise comparison matrices given by a group of experts. Because the complexity of real decision problems, the subjective judgments and different patterns of the experts, interval comparison matrices provide a flexible framework to account uncertainty and to achieve consensus solutions among a group of experts. The development of the provided methods relies on l p -distances to measure the distance between the preference information given by the experts and its normative prototype. Then a minimization problem in the l p -distance under some constraints is obtained. The proposed approach is made operational with the help of an Interval Goal Programming formulation.

Suggested Citation

  • Esther Dopazo & Mauricio Ruiz-Tagle, 2009. "A GP Formulation for Aggregating Preferences with Interval Assessments," Lecture Notes in Economics and Mathematical Systems, in: Vincent Barichard & Matthias Ehrgott & Xavier Gandibleux & Vincent T'Kindt (ed.), Multiobjective Programming and Goal Programming, pages 47-54, Springer.
    • Handle: RePEc:spr:lnechp:978-3-540-85646-7_5
    DOI: 10.1007/978-3-540-85646-7_5
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