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Detecting and Debugging Erroneous Statements in Pairwise Comparison Matrices

In: Operations Research Proceedings 2007

Author

Listed:
  • Reinhold Decker

    (Bielefeld University)

  • Martin Meißner

    (Bielefeld University)

  • Sören W. Scholz

    (Bielefeld University)

Abstract

Paired comparisons are a widely used technique for evaluating decision elements. If measured on a ratio scale, the judgments form a pairwise comparison matrix that can be interpreted as a ratio preference network. The collection of paired comparisons is often accompanied by manifold response errors driven by variations in attention, mood, mental efficiency, or the general mental state of the respondents. Such erroneous statements might seriously impair the consistency of the responses, and thus, the relative weights derived from the ratio preference network. This paper presents a new error detection approach that identifies deficient elements in pairwise comparison matrices and significantly reduces the mentioned effects with regard to the weights of the considered decision elements. It is based on the geometric mean of all connecting paths of the respective pairwise comparison matrix. Its basic applicability is demonstrated by means of Monte Carlo simulations.

Suggested Citation

  • Reinhold Decker & Martin Meißner & Sören W. Scholz, 2008. "Detecting and Debugging Erroneous Statements in Pairwise Comparison Matrices," Operations Research Proceedings, in: Jörg Kalcsics & Stefan Nickel (ed.), Operations Research Proceedings 2007, pages 277-282, Springer.
    • Handle: RePEc:spr:oprchp:978-3-540-77903-2_43
    DOI: 10.1007/978-3-540-77903-2_43
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