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Consistency measures for pairwise comparison matrices

✍ Scribed by Jonathan Barzilai

Publisher
John Wiley and Sons
Year
1998
Tongue
English
Weight
114 KB
Volume
7
Category
Article
ISSN
1057-9214

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✦ Synopsis

We propose new measures of consistency of additive and multiplicative pairwise comparison matrices. These measures, the relati6e consistency and relati6e error, are easy to compute and have clear and simple algebraic and geometric meaning, interpretation and properties. The correspondence between these measures in the additive and multiplicative cases reflects the same correspondence which underpins the algebraic structure of the problem and relates naturally to the corresponding optimization models and axiom systems. The relati6e consistency and relati6e error are related to one another by the theorem of Pythagoras through the decomposition of comparison matrices into their consistent and error components. One of the conclusions of our analysis is that inconsistency is not a sufficient reason for revision of judgements.

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