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Analytic hierarchy process-fuzzy sorting: An analytic hierarchy process–based method for fuzzy classification in sorting problems

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  • Alessio Ishizaka
  • Menelaos Tasiou
  • Luis Martínez

Abstract

Analytic Hierarchy Process (AHP) is a well-founded and popular method in the Multi-Criteria Decision Analysis (MCDA) field. AHPSort, a recently introduced sorting variant, uses crisp class-assignment of alternatives. This can sometimes be misleading, especially for alternatives near the border of two classes. This paper aims at making the class assignment process in AHPSort more flexible by using fuzzy sets theory, which facilitates soft transitions between classes and provides additional information about the membership of alternatives in each class that can be used to fine-tune actions beyond the crisp sorting process. This essentially complements the ordinal information of its crisp variant with cardinal information as to the degree of membership of an alternative to each class. The applicability of the proposed approach is illustrated in a case study that regards the classification of London boroughs according to their safety levels.

Suggested Citation

  • Alessio Ishizaka & Menelaos Tasiou & Luis Martínez, 2020. "Analytic hierarchy process-fuzzy sorting: An analytic hierarchy process–based method for fuzzy classification in sorting problems," Journal of the Operational Research Society, Taylor & Francis Journals, vol. 71(6), pages 928-947, June.
    • Handle: RePEc:taf:tjorxx:v:71:y:2020:i:6:p:928-947
    DOI: 10.1080/01605682.2019.1595188
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    Cited by:

    1. Yourong Guo, 2024. "Z-Number TODIM-EDAS Decision-Making Framework for Cultural Tourism Competitiveness Evaluation in the Yellow River Basin," International Journal of Fuzzy System Applications (IJFSA), IGI Global, vol. 13(1), pages 1-22, January.
    2. Zhang, Jietao & Tu, Yan & Liu, Jun & Liu, Liyi & Li, Zongmin, 2022. "Regional public transportation safety risk grading assessment under time dimension: A case study of Chinese mainland," Transport Policy, Elsevier, vol. 126(C), pages 343-354.
    3. 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.
    4. Jindong Qin & Yingying Liang & Luis Martinez & Alessio Ishizaka & Witold Pedrycz, 2023. "ORESTE-SORT: a novel multiple criteria sorting method for sorting port group competitiveness," Annals of Operations Research, Springer, vol. 325(2), pages 875-909, June.

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