On pairwise comparison matrices that can be made consistent by the modification of a few elements

Bozóki, Sándor and Fülöp, János and Poesz, Attila (2009) On pairwise comparison matrices that can be made consistent by the modification of a few elements. -. MTA SZTAKI, Budapest.

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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.

Item Type: Monograph (-)
Uncontrolled Keywords: Multi-attribute decision making, Consistent pairwise comparison matrix, Graph representation of pairwise comparison matrices
Subjects: Q Science > QA Mathematics and Computer Science > QA75 Electronic computers. Computer science / számítástechnika, számítógéptudomány
Divisions: Research Laboratory on Engineering & Management Intelligence
Depositing User: Eszter Nagy
Date Deposited: 11 Dec 2012 16:05
Last Modified: 11 Dec 2012 16:05
URI: http://eprints.sztaki.hu/id/eprint/6028

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