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A New Consistency Test Index for the Data in the AHP/ANP

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Part of the book series: Quantitative Management ((QUANT,volume 1))

Abstract

The consistency test is one of the critical components both in AHP and ANP. Currently, the consistency ratio (CR) proposed by Saaty is popularly used to test the consistencies of the pairwise comparison matrices. However, when the number of comparison matrices increases, the consistency test of comparison matrices both in the AHP and ANP becomes complicated. In an attempt to simplify the consistency test, Ergu et al. (2011a) proposed a maximum eigenvalue threshold as the new consistency index for the data in the AHP and ANP, which is mathematically equivalent to the CR method. In addition, a block diagonal matrix is introduced for the comparison matrices in the AHP/ANP to conduct consistency tests simultaneously. In this Chapter, the proposed new consistency test index is comprehensively described.

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Kou, G., Ergu, D., Peng, Y., Shi, Y. (2013). A New Consistency Test Index for the Data in the AHP/ANP. In: Data Processing for the AHP/ANP. Quantitative Management, vol 1. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-29213-2_2

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