Scale transitivity in the AHP

P Ji () and R Jiang
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P Ji: The Hong Kong Polytechnic University, Hung Hom
R Jiang: The Hong Kong Polytechnic University, Hung Hom

Journal of the Operational Research Society, 2003, vol. 54, issue 8, 896-905

Abstract: 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.

Keywords: analytic hierarchy process; scale; transitivity; consistency (search for similar items in EconPapers)
Date: 2003
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Citations: View citations in EconPapers (8)

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DOI: 10.1057/palgrave.jors.2601557

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