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An LP-based inconsistency monitoring of pairwise comparison matrices

Bozóki, Sándor and Fülöp, János and Koczkodaj, Waldemar W. (2011) An LP-based inconsistency monitoring of pairwise comparison matrices. Mathematical and Computer Modelling, 54 (1-2). pp. 789-793. DOI 10.1016/j.mcm.2011.03.026

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Official URL: http://www.sciencedirect.com/science/article/pii/S0895717711001865


Abstract

A distance-based inconsistency indicator, defined by the third author for the consistency-driven pairwise comparisons method, is extended to the incomplete case. The corresponding optimization problem is transformed into an equivalent linear programming problem. The results can be applied in the process of filling in the matrix as the decision maker gets automatic feedback. As soon as a serious error occurs among the matrix elements, even due to a misprint, a significant increase in the inconsistency index is reported. The high inconsistency may be alarmed not only at the end of the process of filling in the matrix but also during the completion process. Numerical examples are also provided.

Item Type:Article
Uncontrolled Keywords:linear programming, incomplete data, inconsistency analysis, pairwise comparisons
Subjects:Mathematics, Econometrics
DOI:10.1016/j.mcm.2011.03.026
ID Code:414
Deposited By: Ádám Hoffmann
Deposited On:26 Aug 2011 12:27
Last Modified:03 Jul 2012 00:24

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