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Efficiency analysis of double perturbed pairwise comparison matrices

Ábele-Nagy, Kristóf and Bozóki, Sándor and Rebák, Örs (2018) Efficiency analysis of double perturbed pairwise comparison matrices. Journal of the Operational Research Society, 69 (5). pp. 707-713. ISSN 0160-5682

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Abstract

Efficiency is a core concept of multi-objective optimization problems and multi-attribute decision making. In the case of pairwise comparison matrices a weight vector is called efficient if the approximations of the elements of the pairwise comparison matrix made by the ratios of the weights cannot be improved in any position without making it worse in some other position. A pairwise comparison matrix is called double perturbed if it can be made consistent by altering two elements and their reciprocals. The most frequently used weighting method, the eigenvector method is analyzed in the paper, and it is shown that it produces an efficient weight vector for double perturbed pairwise comparison matrices.

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
Q Science / természettudomány > QA Mathematics / matematika > QA72 Algebra / algebra
Depositing User: Dr. Sándor Bozóki
Date Deposited: 12 Sep 2018 10:08
Last Modified: 12 Sep 2018 10:08
URI: http://real.mtak.hu/id/eprint/83635

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