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Consistency Improvement in the Analytic Hierarchy Process

Author

Listed:
  • Valerio Antonio Pamplona Salomon

    (Department of Production, UNESP–Sao Paulo State University, Guaratingueta 12516-410, SP, Brazil)

  • Luiz Flavio Autran Monteiro Gomes

    (Pro-Rectory of Research, Federal University of ABC, Santo André 09210-580, SP, Brazil)

Abstract

Consistency checking is one of the reasons for the Analytic Hierarchy Process (AHP) leadership in publications on multiple criteria decision-making (MCDM). Consistency is a measure of the quality of data input in the AHP. The theory of AHP provides indicators for the consistency of data. When an indicator is out of the desired interval, the data must be reviewed. This article presents a method for improving the consistency of reviewing the data input in an AHP application. First, a conventional literature review is presented on the theme. Then, an innovative tool of artificial intelligence is shown to confirm the main result of the conventional review: this topic is still attracting interest from AHP and MCDM researchers. Finally, a simple technique for consistency improvement is presented and illustrated with a practical case of MCDM: supplier selection by a company.

Suggested Citation

  • Valerio Antonio Pamplona Salomon & Luiz Flavio Autran Monteiro Gomes, 2024. "Consistency Improvement in the Analytic Hierarchy Process," Mathematics, MDPI, vol. 12(6), pages 1-13, March.
    • Handle: RePEc:gam:jmathe:v:12:y:2024:i:6:p:828-:d:1355460
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    References listed on IDEAS

    as
    1. Antonella Petrillo & Valerio Antonio Pamplona Salomon & Claudemir Leif Tramarico, 2023. "State-of-the-Art Review on the Analytic Hierarchy Process with Benefits, Opportunities, Costs, and Risks," JRFM, MDPI, vol. 16(8), pages 1-16, August.
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    3. Klaus D. Goepel, 2019. "Comparison of Judgment Scales of the Analytical Hierarchy Process — A New Approach," International Journal of Information Technology & Decision Making (IJITDM), World Scientific Publishing Co. Pte. Ltd., vol. 18(02), pages 445-463, March.
    4. Sandra Alvarez Gallo & Julien Maheut, 2023. "Multi-Criteria Analysis for the Evaluation of Urban Freight Logistics Solutions: A Systematic Literature Review," Mathematics, MDPI, vol. 11(19), pages 1-24, September.
    5. Jyrki Wallenius & James S. Dyer & Peter C. Fishburn & Ralph E. Steuer & Stanley Zionts & Kalyanmoy Deb, 2008. "Multiple Criteria Decision Making, Multiattribute Utility Theory: Recent Accomplishments and What Lies Ahead," Management Science, INFORMS, vol. 54(7), pages 1336-1349, July.
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