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An LP-based inconsistency monitoring of pairwise comparison matrices

Bozóki, Sándor and Fülöp, János and Koczkodaj, W. 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 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
Subjects: H Social Sciences / társadalomtudományok > HB Economic Theory / közgazdaságtudomány
H Social Sciences / társadalomtudományok > HB Economic Theory / közgazdaságtudomány > HB5 Mathematical economics / matematikai közgazdaságtan
Q Science / természettudomány > QA Mathematics / matematika
Depositing User: Dr. Sándor Bozóki
Date Deposited: 11 Oct 2017 07:51
Last Modified: 11 Oct 2017 07:51
URI: http://real.mtak.hu/id/eprint/65495

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