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

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Abstract

Analytic Hierarchy Process (AHP) is a well-founded and popular method in the Multi-Criteria Decision Analysis (MCDA) field. Recently, AHPSort, a 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.
Original languageEnglish
Article number0
Pages (from-to)928-947
Number of pages20
JournalJournal of the Operational Research Society
Volume71
Issue number6
Early online date4 Jun 2019
DOIs
Publication statusPublished - 1 Jun 2020

Keywords

  • Multi-criteria decision analysis
  • AHP
  • AHPSort
  • fuzzy Sets
  • sorting method
  • fuzzy linguistic approach

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