Scale transitivity in the analytic hierarchy process

Scale transitivity in the analytic hierarchy process

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Article ID: iaor20041682
Country: United Kingdom
Volume: 54
Issue: 8
Start Page Number: 896
End Page Number: 905
Publication Date: Aug 2003
Journal: Journal of the Operational Research Society
Authors: ,
Keywords: analytic hierarchy process
Abstract:

Transitivity is important in multicriteria decision-making. The analytic hierarchy process (AHP), as one of the widely used decision analysis tools, is criticized since it suffers from scale intransitivity. This paper first reviews and compares different scales from different aspects, then discusses the transitivity of AHP scales and derives a scale based on the transitivity, so it is naturally transitive. Besides, two approaches are provided to determine the scale parameter for the derived transitive scale. In order to deal with the transitivity problem, the AHP provides a consistency index for testing pairwise comparison consistency. So, finally, this paper proposes a consistency measure to reflect the judgmental inconsistency.

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