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Efficiency analysis of simple perturbed pairwise comparison matrices

  • Metaadatok
Tartalom: http://real.mtak.hu/61649/
Archívum: MTA Könyvtár
Gyűjtemény: Status = Published



Type = Article
Cím:
Efficiency analysis of simple perturbed pairwise comparison matrices
Létrehozó:
Ábele-Nagy, Kristóf
BozĂłki, SĂĄndor
Kiadó:
IOS Press
Dátum:
2016
Téma:
HB5 Mathematical economics / matematikai kĂśzgazdasĂĄgtan
QA Mathematics / matematika
QA72 Algebra / algebra
Tartalmi leírás:
Efficiency, the basic concept of multi-objective optimization is investigated for the class of pairwise comparison matrices. A weight vector is called efficient if no alternative weight vector exists such that every pairwise ratio of the latter’s components is at least as close to the corresponding element of the pairwise comparison matrix as the one of the former’s components is, and the latter’s approximation is strictly better in at least one position. A pairwise comparison matrix is called simple perturbed if it differs from a consistent pairwise comparison matrix in one element and its reciprocal. One of the classical weighting methods, the eigenvector method is analyzed. It is shown in the paper that the principal right eigenvector of a simple perturbed pairwise comparison matrix is efficient. An open problem is exposed: the search for a necessary and sufficient condition of that the principal right eigenvector is efficient.
Nyelv:
magyar
Típus:
Article
PeerReviewed
info:eu-repo/semantics/article
Formátum:
text
Azonosító:
Ábele-Nagy, Kristóf and Bozóki, Såndor (2016) Efficiency analysis of simple perturbed pairwise comparison matrices. Fundamenta Informaticae, 144 (3-4). pp. 279-289.
Kapcsolat:
DOI 10.3233/FI-2016-1335