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

Bozóki, Sándor and Poesz, Attila and Fülöp, János (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. ISSN 1435-246X

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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: 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
Q Science / természettudomány > QA Mathematics / matematika > QA166-QA166.245 Graphs theory / gráfelmélet
Depositing User: Dr. Sándor Bozóki
Date Deposited: 19 Sep 2017 14:18
Last Modified: 19 Sep 2017 14:18
URI: http://real.mtak.hu/id/eprint/62931

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