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

Bozóki, Sándor and Fülöp, János and Poesz, Attila (2011) On pairwise comparison matrices that can be made consistent by the modification of a few elements. Central European Journal of Operations Research, 19 (2). pp. 157-175. DOI 10.1007/s10100-010-0136-9

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Official URL: http://www.springerlink.com/content/u5564j3413400n67


Abstract

Pairwise comparison matrices are often used in Multi-attribute Decision Making forweighting 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:Article
Uncontrolled Keywords:Multi-attribute decision making, Consistent pairwise comparison matrix, Graph representation of pairwise comparison matrices
Subjects:Mathematics, Econometrics
Computer science
Projects:OTKA K60480, OTKA K77420
DOI:10.1007/s10100-010-0136-9
ID Code:765
Deposited By: Ádám Hoffmann
Deposited On:03 Jul 2012 15:25
Last Modified:05 Sep 2012 07:52

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