An LP-based inconsistency monitoring of pairwise comparison matrices

Bozóki, Sándor and Fülöp, János and Waldemar, W (2011) An LP-based inconsistency monitoring of pairwise comparison matrices. MATHEMATICAL AND COMPUTER MODELLING, 54 (1-2). pp. 789-793. ISSN 0895-7177

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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 re- sults can be applied in the process of filling in the matrix as the deci- sion 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: ISI Article
Uncontrolled Keywords: pairwise comparisons, inconsistency analysis, INCOMPLETE DATA, Linear programming
Subjects: Q Science > QA Mathematics and Computer Science > QA75 Electronic computers. Computer science / számítástechnika, számítógéptudomány
Divisions: Research Laboratory on Engineering & Management Intelligence > Research Group of Operations Research and Decision Systems
Depositing User: EPrints Admin
Date Deposited: 12 Dec 2012 08:41
Last Modified: 05 Feb 2014 15:50
URI: http://eprints.sztaki.hu/id/eprint/6823

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