CONSISTENCY IN THE ANALYTIC HIERARCHY PROCESS: A NEW APPROACH

Universidad de Cádiz · Universidad de Granada

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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 the consistency in random matrices of different sizes. We do 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 of adapting the acceptance requirements to different scopes and consistency necessities. The advantages of our consistency system are the introduction of adaptability in the acceptance criterion and the simplicity of the index we have used, the eigenvalue (λ max ) and the simplicity of the criterion.

Citation impact

876
total citations
FWCI
4.33
Percentile
100%
References
35
Citations per year

Authors

2

Topics & keywords

Keywords
  • Consistency (knowledge bases)
  • Simplicity
  • Analytic hierarchy process
  • Pairwise comparison
  • Reciprocal
  • Hierarchy
  • Mathematics
  • Eigenvalues and eigenvectors
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