Improving the Ordinal Inconsistency of Pairwise Comparison Matrices

Ludmil Mikhailov, Fabio De Felice (Editor), Emilio Esposito (Editor), Thomas Saaty (Editor)

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review


The paper investigates the effects of non-transitive judgments on the consistency of pairwise comparison matrices and proposes a heuristic algorithm for identifying and eliminating their ordinal inconsistencies. The algorithm is based on graphical representation of the comparison matrices and identifies the edges in the digraph, which are mostly responsible for three-way cycles, representing the ordinal inconsistencies. The algorithm tries to minimize the number of edge reversals and provides results, similar to those obtained by an optimization method,
Original languageEnglish
Title of host publicationProceedings of the 11th International Symposium on the AHP
EditorsFabio De Felice, Emilio Esposito, Thomas Saaty
Place of PublicationPittsburg, USA
PublisherAHP Academy
Publication statusPublished - 15 Jun 2011
Event11th International Symposium on the AHP - Sorrento, Italy
Duration: 15 Jun 201118 Jun 2011


Conference11th International Symposium on the AHP
CitySorrento, Italy


  • Pairwise Comparisons
  • Non-transitive Judgements
  • Heuristics


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