An evaluation method for inconsistency of the AHP judgment matrix

Yuan Mao Huang, Hsin Ni Ho

Research output: Contribution to conferencePaperpeer-review

1 Citation (Scopus)

Abstract

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.

Original languageEnglish
Pages109-116
Number of pages8
Publication statusPublished - 2002
Externally publishedYes
Event14th International Conference on Design Theory and Methodology Integrated Systems Design Theme: Aircraft Systems - Montreal, Que., Canada
Duration: Sep 29 2002Oct 2 2002

Conference

Conference14th International Conference on Design Theory and Methodology Integrated Systems Design Theme: Aircraft Systems
Country/TerritoryCanada
CityMontreal, Que.
Period9/29/0210/2/02

All Science Journal Classification (ASJC) codes

  • Modelling and Simulation
  • Mechanical Engineering
  • Computer Science Applications
  • Computer Graphics and Computer-Aided Design

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