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Article
Assessing and Improving Consistency of a Pairwise Comparison Matrix in the Analytic Hierarchy Process
2017 Portland International Conference on Management of Engineering and Technology (PICMET) (2017)
  • Oliver S. Yu, San Jose State University
Abstract
A major breakthrough in multi-criteria decision analysis has been the Analytic Hierarchy Process (AHP), with its innovative applications of matrix theory and pioneering concept of consistency in human judgments for pairwise comparisons. However, the criterion for assessing consistency among these judgments in a pairwise comparison matrix of AHP is somewhat cumbersome to apply and the available procedures for improving the consistency of the matrix focus mainly on the effects rather than the source of the inconsistency: the underlying human judgments. This paper presents a simplified criterion for assessing the consistency of a pairwise comparison matrix. It further develops a systematic procedure for modifying an insufficiently consistent matrix to total consistency based on the degree of confidence the decision-maker places on these judgments, and discusses the implications of this total consistency modification procedure.
Keywords
  • Analytic hierarchy process,
  • Technology management,
  • Systematics,
  • Decision analysis,
  • Indexes,
  • Urban areas,
  • Object recognition,
  • analytic hierarchy process,
  • fuzzy set theory,
  • matrix algebra,
  • pairwise comparison matrix consistency,
  • human judgments,
  • systematic procedure,
  • confidence degree,
  • decision-maker,
  • multicriteria decision analysis,
  • total consistency modification procedure,
  • insufficiently consistent matrix,
  • matrix focus,
  • matrix theory,
  • AHP
Publication Date
July, 2017
DOI
10.23919/PICMET.2017.8125304
Publisher Statement
July 9-13, 2017
SJSU users: Use the following link to login and access the article via SJSU databases.
Citation Information
Oliver S. Yu. "Assessing and Improving Consistency of a Pairwise Comparison Matrix in the Analytic Hierarchy Process" 2017 Portland International Conference on Management of Engineering and Technology (PICMET) (2017)
Available at: http://works.bepress.com/oliver_yu/48/