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An Evaluation Method for Inconsistency of the AHP Judgment Matrix

[+] Author Affiliations
Yuan Mao Huang, Hsin-Ni Ho

National Taiwan University, Taipei, Taiwan, Republic of China

Paper No. DETC2002/DTM-34010, pp. 109-116; 8 pages
  • ASME 2002 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference
  • Volume 4: 14th International Conference on Design Theory and Methodology, Integrated Systems Design, and Engineering Design and Culture
  • Montreal, Quebec, Canada, September 29–October 2, 2002
  • Conference Sponsors: Design Engineering Division, Computers and Information in Engineering Division
  • ISBN: 0-7918-3624-X
  • Copyright © 2002 by ASME


Applications of the analytic hierarchy process have been widespread in the field of decision-making for decades. In this process, decision-makers perform pairwise comparisons to form a judgment matrix, and its principal eigenvector is used to represent the priorities. Thus it is important to evaluate the degree of inconsistency in a judgment matrix to ensure the principal eigenvector reflects the true priorities among the alternatives. This study proposes the I3 circuit method, which is based on the graph theory, with a critical inconsistent index value of 3.75 to judge and evaluate consistency or the degree of inconsistency for judgment matrices. In addition, it can also spot the matrix entries that create the most inconsistency. With these advantages of the proposed method, decision-makers can easily evaluate the pairwise comparisons of a matrix and revise some entries of the matrix toward consistency if needed.

Copyright © 2002 by ASME



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