Some Mathematical Concepts of the Analytic Hierarchy Process

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In this paper we give a skeletal outline of the foundations of the Analytic Hierarchy Process and some of its highlights. We also show that the principal eigenvector solution is essential for deriving the scale of priorities from the fundamental scale of judgments given in the matrix.

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Correspondence to Thomas L. Saaty.

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The original online version of this article was revised due to the retrospective open access order.

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Saaty, T.L. Some Mathematical Concepts of the Analytic Hierarchy Process. Behaviormetrika 18, 1–9 (1991).

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Key Words and Phrases

  • decomposition
  • comparison
  • synthesis of priorities