Pairwise comparison matrices and the error-free property of the decision maker |
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Authors: | József Temesi |
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Institution: | 1.Corvinus University of Budapest,Budapest,Hungary |
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Abstract: | Pairwise comparison is a popular assessment method either for deriving criteria-weights or for evaluating alternatives according
to a given criterion. In real-world applications consistency of the comparisons rarely happens: intransitivity can occur.
The aim of the paper is to discuss the relationship between the consistency of the decision maker—described with the error-free
property—and the consistency of the pairwise comparison matrix (PCM). The concept of error-free matrix is used to demonstrate
that consistency of the PCM is not a sufficient condition of the error-free property of the decision maker. Informed and uninformed
decision makers are defined. In the first stage of an assessment method a consistent or near-consistent matrix should be achieved:
detecting, measuring and improving consistency are part of any procedure with both types of decision makers. In the second
stage additional information are needed to reveal the decision maker’s real preferences. Interactive questioning procedures
are recommended to reach that goal. |
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Keywords: | |
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