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

作者: Gang Kou , Daji Ergu , Yi Peng , Yong Shi

DOI: 10.1007/978-3-642-29213-2_2

关键词:

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

参考文章(19)
Daji Ergu, Gang Kou, Yi Peng, Yong Shi, A New Consistency Index for Comparison Matrices in the ANP Lecture Notes in Economics and Mathematical Systems. pp. 47- 56 ,(2011) , 10.1007/978-3-642-19695-9_4
Thomas L. Saaty, Applications of analytical hierarchies Mathematics and Computers in Simulation. ,vol. 21, pp. 1- 20 ,(1979) , 10.1016/0378-4754(79)90101-0
J Barzilai, Deriving weights from pairwise comparison matrices Journal of the Operational Research Society. ,vol. 48, pp. 1226- 1232 ,(1997) , 10.1057/PALGRAVE.JORS.2600474
Thomas L. Saaty, Modeling unstructured decision problems — the theory of analytical hierarchies Mathematics and Computers in Simulation. ,vol. 20, pp. 147- 158 ,(1978) , 10.1016/0378-4754(78)90064-2
Thomas L. Saaty, Decision-making with the AHP: Why is the principal eigenvector necessary European Journal of Operational Research. ,vol. 145, pp. 85- 91 ,(2003) , 10.1016/S0377-2217(02)00227-8
L. L. Thurstone, A law of comparative judgment Psychological Review. ,vol. 34, pp. 273- 286 ,(1994) , 10.1037/H0070288
Thomas L. Saaty, Some Mathematical Concepts of the Analytic Hierarchy Process Behaviormetrika. ,vol. 18, pp. 1- 9 ,(1991) , 10.2333/BHMK.18.29_1
Gordon Crawford, Cindy Williams, A note on the analysis of subjective judgment matrices Journal of Mathematical Psychology. ,vol. 29, pp. 387- 405 ,(1985) , 10.1016/0022-2496(85)90002-1