Ranking alternatives - comparison of different methods based on binary comparison matrices
type: Item
instance of: scholarly article
title: Ranking alternatives - comparison of different methods based on binary comparison matrices
zbMATH Open document ID: 0632.90034
DOI: 10.1016/0377-2217(87)90273-6
author: Jiří Křovák
published in: European Journal of Operational Research
publication date: 1987-01-01T00:00:00Z
review text: The positive reciprocal matrix of pairwise comparisons suggested by T. L. Saaty is examined. The weights of (relative) importance of individual alternatives can be obtained by different methods. The eigenvector and logarithmic least squares methods are reviewed and two new procedures based on least squares method are introduced - one using Marquardt's method, the other using Lagrange multipliers. Comparisons of the results of all four described methods are presented, which are based on 39 sets of experimental data. The dependence of the results on the degree of inconsistency of the pairwise comparison matrix is evaluated.
Mathematics Subject Classification ID: 90B50
Mathematics Subject Classification ID: 62J15
Mathematics Subject Classification ID: 15A18
Mathematics Subject Classification ID: 91B06
zbMATH DE Number: 4029247
zbMATH Keywords: positive reciprocal matrix
zbMATH Keywords: pairwise comparisons
zbMATH Keywords: eigenvector
zbMATH Keywords: logarithmic least squares methods
MaRDI profile type: Publication
full work available at URL: 0377-2217(87)90273-6
OpenAlex ID: W2147693796
cites work: Q3309393
cites work: A statistical approach to Saaty's scaling method for priorities
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cites work: A geometric averaging procedure for constructing supertransitive approximation to binary comparison matrices
cites work: A scaling method for priorities in hierarchical structures
cites work: Exploring the interface between hierarchies, multiple objectives and fuzzy sets
cites work: Q3044280
cites work: Inconsistency and rank preservation
cites work: Q3682249
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description: scientific article; zbMATH DE number 4029247