An evaluation method for inconsistency of the AHP judgment matrix

Yuan Mao Huang; Hsin Ni Ho

An evaluation method for inconsistency of the AHP judgment matrix

Yuan Mao Huang, Hsin Ni Ho

Research output: Contribution to conference › Paper › peer-review

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 language	English
Pages	109-116
Number of pages	8
Publication status	Published - 2002
Externally published	Yes
Event	14th International Conference on Design Theory and Methodology Integrated Systems Design Theme: Aircraft Systems - Montreal, Que., Canada Duration: Sep 29 2002 → Oct 2 2002

Conference

Conference	14th International Conference on Design Theory and Methodology Integrated Systems Design Theme: Aircraft Systems
Country/Territory	Canada
City	Montreal, Que.
Period	9/29/02 → 10/2/02

All Science Journal Classification (ASJC) codes

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

Cite this

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title = "An evaluation method for inconsistency of the AHP judgment matrix",

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.",

author = "Huang, {Yuan Mao} and Ho, {Hsin Ni}",

note = "Funding Information: The authors would like to express their sincere thanks to the National Science Council of the Republic of China for the grant NSC89-2212-E-002-024 for funding this investigation, to Dr. Thomas L. Saaty for better understanding the concept of the analytic hierarchy process and to Dr. Grant Huang for comments and revisions made on this manuscript.; 14th International Conference on Design Theory and Methodology Integrated Systems Design Theme: Aircraft Systems ; Conference date: 29-09-2002 Through 02-10-2002",

year = "2002",

language = "English",

pages = "109--116",

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AU - Huang, Yuan Mao

AU - Ho, Hsin Ni

N1 - Funding Information: The authors would like to express their sincere thanks to the National Science Council of the Republic of China for the grant NSC89-2212-E-002-024 for funding this investigation, to Dr. Thomas L. Saaty for better understanding the concept of the analytic hierarchy process and to Dr. Grant Huang for comments and revisions made on this manuscript.

PY - 2002

Y1 - 2002

N2 - 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.

AB - 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.

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T2 - 14th International Conference on Design Theory and Methodology Integrated Systems Design Theme: Aircraft Systems

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ER -

An evaluation method for inconsistency of the AHP judgment matrix

Abstract

Conference

All Science Journal Classification (ASJC) codes

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