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Incomplete pairwise comparison and consistency optimization

Author

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  • Michele Fedrizzi

    (DISA, University of Trento)

  • Silvio Giove

    (Department of Applied Mathematics, University of Venice)

Abstract

This paper proposes a new method for calculating the missing elements of an incomplete matrix of pairwise comparison values for a decision problem. The matrix is completed by minimizing a measure of global inconsistency, thus obtaining a matrix which is optimal from the point of view of consistency with respect to the available judgements. The optimal values are obtained by solving a linear system and unicity of the solution is proved under general assumptions. Some other methods proposed in the literature are discussed and a numerical example is presented.

Suggested Citation

  • Michele Fedrizzi & Silvio Giove, 2006. "Incomplete pairwise comparison and consistency optimization," Working Papers 144, Department of Applied Mathematics, Università Ca' Foscari Venezia.
  • Handle: RePEc:vnm:wpaper:144
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    References listed on IDEAS

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    5. Herrera-Viedma, E. & Herrera, F. & Chiclana, F. & Luque, M., 2004. "Some issues on consistency of fuzzy preference relations," European Journal of Operational Research, Elsevier, vol. 154(1), pages 98-109, April.
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    More about this item

    Keywords

    consistency; pairwise comparison matrices;

    JEL classification:

    • C15 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Statistical Simulation Methods: General

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