On pairwise comparison matrices that can be made consistent by the modification of a few elements |
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| Authors: | Sándor Bozóki János Fülöp Attila Poesz |
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| Institution: | 1.Laboratory on Engineering and Management Intelligence,Research Group of Operations Research and Decision Systems, Computer and Automation Research Institute, Hungarian Academy of Sciences,Budapest,Hungary;2.Department of Operations Research,Corvinus University of Budapest,Budapest,Hungary |
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| Abstract: | Pairwise comparison matrices are often used in Multi-attribute Decision Making for weighting the attributes or for the evaluation
of the alternatives with respect to a criteria. Matrices provided by the decision makers are rarely consistent and it is important
to index the degree of inconsistency. In the paper, the minimal number of matrix elements by the modification of which the
pairwise comparison matrix can be made consistent is examined. From practical point of view, the modification of 1, 2, or,
for larger matrices, 3 elements seems to be relevant. These cases are characterized by using the graph representation of the
matrices. Empirical examples illustrate that pairwise comparison matrices that can be made consistent by the modification
of a few elements are present in the applications. |
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