How to derive priorities in AHP: a comparative study

Alessio Ishizaka, Markus Lusti

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Abstract

A heated discussion has arisen over the “best” priorities derivation method. Using a Monte Carlo simulation this article compares and evaluates the solutions of four AHP ratio scaling methods: the right eigenvalue method, the left eigenvalue method, the geometric mean and the mean of normalized values. Matrices with different dimensions and degree of impurities are randomly constructed. We observe a high level of agreement between the different scaling techniques. The number of ranking contradictions increases with the dimension of the matrix and the inconsistencies. However these contradictions affect only close priorities.
Original languageEnglish
Pages (from-to)387-400
JournalCentral European Journal of Operations Research
Volume14
Issue number4
DOIs
Publication statusPublished - Dec 2006

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