Scale transitivity in the AHP

Ping Ji, R. Jiang

Research output: Journal article publicationJournal articleAcademic researchpeer-review

66 Citations (Scopus)


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 intensitivity. 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.
Original languageEnglish
Pages (from-to)896-905
Number of pages10
JournalJournal of the Operational Research Society
Issue number8
Publication statusPublished - 1 Aug 2003


  • Analytic hierarchy process
  • Consistency
  • Scale
  • Transitivity

ASJC Scopus subject areas

  • Management Information Systems
  • Strategy and Management
  • Management Science and Operations Research
  • Marketing


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