Title
Efficiency analysis of double perturbed pairwise comparison matrices.
Abstract
Efficiency is a core concept of multi-objective optimisation 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 analysed in the paper, and it is shown that it produces an efficient weight vector for double perturbed pairwise comparison matrices.
Year
DOI
Venue
2018
10.1080/01605682.2017.1409408
JOURNAL OF THE OPERATIONAL RESEARCH SOCIETY
Keywords
Field
DocType
Pairwise comparison matrix,efficiency,Pareto optimality,eigenvector
Applied mathematics,Pairwise comparison,Weighting,Matrix (mathematics),Computer science,Approximations of π,Weight,Pairwise comparison matrix,Management science,Eigenvalues and eigenvectors
Journal
Volume
Issue
ISSN
69
5
0160-5682
Citations 
PageRank 
References 
0
0.34
6
Authors
3
Name
Order
Citations
PageRank
Kristóf Ábele-Nagy100.34
Sándor Bozóki215810.98
Örs Rebák300.34