2005
DOI: 10.1007/11526018_8
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A Statistical Criterion of Consistency in the Analytic Hierarchy Process

Abstract: Abstract. In this paper, we present a statistical criterion for accepting/rejecting the pairwise reciprocal comparison matrices in the Analytic Hierarchy Process. We have studied statistically the consistency in random matrices of different sizes. We are not agree with the traditional criterion of accepting matrices due to their inflexibility and because it is too restrictive when the size of the matrix increases. Our system is capable to adapt the acceptance requirements to different scopes and consistency's … Show more

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Cited by 10 publications
(10 citation statements)
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“…As presented in Section 2.2 and Section 2.3 , the key indicators’ system for the comprehensive evaluation of ERI was established using six guiding principles proposed by Raybould [ 71 ]. According to Raybould, the selection of indicators system should follow the criteria, stated below: It should be based on the availability of accurate data; accuracy of data is the primary factor for correct analysis and decision making.…”
Section: Methodsmentioning
confidence: 99%
See 1 more Smart Citation
“…As presented in Section 2.2 and Section 2.3 , the key indicators’ system for the comprehensive evaluation of ERI was established using six guiding principles proposed by Raybould [ 71 ]. According to Raybould, the selection of indicators system should follow the criteria, stated below: It should be based on the availability of accurate data; accuracy of data is the primary factor for correct analysis and decision making.…”
Section: Methodsmentioning
confidence: 99%
“…The toleration limit for observed inconsistency is valued at 0.1. The judgement responses in the pairwise comparison matrix can be considered to have acceptable consistency if the value for the CR is less than or equal to 10% [ 71 ]. If the CR exceeds this threshold.…”
Section: Methodsmentioning
confidence: 99%
“…The proposed approach uses a scale ranging from 1 to 9 to make judgment for pairwise comparison of the variables ( 28 ). To determine the potential inconsistency in judgment, a consistency ratio ( CR ) is estimated utilizing the eigenvector method ( 29 ). First, a consistency index ( CI ) (used to measure the inconsistency of pairwise comparison) can be estimated using the following equation:…”
Section: Methodsmentioning
confidence: 99%
“…AHP is used to determine the weight of each index [54] and weights of oil properties and oil spill position are present respectively. Since the consistency ratio CR [55][56] is less than 0.1 for the weight of each index, according judgment matrix has good consistency, that is, the weight distribution is reasonable.…”
Section: Membership Of Evaluation Indexesmentioning
confidence: 99%