An LP-based inconsistency monitoring of pairwise comparison matrices

DOI10.1016/j.mcm.2011.03.026zbMath1225.90076arXiv1505.01902OpenAlexW2121347402MaRDI QIDQ646145

Sándor Bozóki, Waldemar W. Koczkodaj, János Fülöp

Publication date: 11 November 2011

Published in: Mathematical and Computer Modelling (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1505.01902

zbMATH Keywords

linear programmingincomplete datapairwise comparisonsinconsistency analysis

Mathematics Subject Classification ID

Numerical mathematical programming methods (65K05) Linear programming (90C05) Case-oriented studies in operations research (90B90)

Related Items (7)

On reducing inconsistency of pairwise comparison matrices below an acceptance threshold ⋮ A novel perspective on the inconsistency indices of reciprocal relations and pairwise comparison matrices ⋮ Inconsistency indices for pairwise comparisons and the Pareto dominance principle ⋮ Mixed-integer linear-fractional programming model and it's linear analogue for reducing inconsistency of pairwise comparison matrices ⋮ Analysis of pairwise comparison matrices: an empirical research ⋮ Inconsistency in the ordinal pairwise comparisons method with and without ties ⋮ Pairwise comparisons matrix decomposition into approximation and orthogonal component using Lie theory

Uses Software

• Concluder

Cites Work

• Pairwise comparison matrices and the error-free property of the decision maker
• On optimal completion of incomplete pairwise comparison matrices
• On Saaty's and Koczkodaj's inconsistencies of pairwise comparison matrices
• A scaling method for priorities in hierarchical structures
• A new definition of consistency of pairwise comparisons
• Generalization of a new definition of consistency for pairwise comparisons
• Linear programming models for estimating weights in the analytic hierarchy process
• Consistency prediction for incomplete AHP matrices
• Incomplete pairwise comparison and consistency optimization
• Alternative modes of questioning in the analytic hierarchy process
• An expert module to improve the consistency of AHP matrices

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