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Fuzzy Analytic Hierarchy Process in a Graphical Approach

Author

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  • Paweł Karczmarek

    (Lublin University of Technology)

  • Witold Pedrycz

    (University of Alberta
    King Abdulaziz University
    Polish Academy of Sciences)

  • Adam Kiersztyn

    (Lublin University of Technology)

Abstract

Saaty’s analytic hierarchy process (AHP) is widely used in many decision-making problems such as a choice of alternatives, prioritization, or ranking. Despite being a valuable tool based on pairwise comparisons of a set of alternatives the method is strongly connected with numeric or linguistic descriptors of the preferences. This can form a limitation to the users who do not feel comfortable with numbers or words strictly related with the articulation of the meaning of preference, i.e., with a predefined scale. Therefore, in this study, we develop a comprehensive approach based on a simple graphic interface. The results and their consistency as well as stability of the method are examined. Moreover, through a suite of experiments we observe how the method works when a group of experts does not provide answers to all questions. Finally, we analyze four variants of non-linear transforms which are used to minimize the inconsistency ratio of the AHP (fuzzy AHP) process.

Suggested Citation

  • Paweł Karczmarek & Witold Pedrycz & Adam Kiersztyn, 2021. "Fuzzy Analytic Hierarchy Process in a Graphical Approach," Group Decision and Negotiation, Springer, vol. 30(2), pages 463-481, April.
    • Handle: RePEc:spr:grdene:v:30:y:2021:i:2:d:10.1007_s10726-020-09719-6
    DOI: 10.1007/s10726-020-09719-6
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    1. Dong Feng & Jiayi Han & Han Jia & Xinyuan Chang & Jiaqi Guo & Pinghua Huang, 2023. "Regional Economic Growth and Environmental Protection in China: The Yellow River Basin Economic Zone as an Example," Sustainability, MDPI, vol. 15(14), pages 1-20, July.
    2. Vijay Pereira & Umesh Bamel, 2023. "Charting the managerial and theoretical evolutionary path of AHP using thematic and systematic review: a decadal (2012–2021) study," Annals of Operations Research, Springer, vol. 326(2), pages 635-651, July.

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