Similarity Measures for Hesitant Fuzzy Sets and Their Extensions

  • Bahram FarhadiniaEmail author
  • Zeshui Xu
Part of the Uncertainty and Operations Research book series (UOR)


The similarity measure has become an important tool for a variety of different applications ranging from the clustering analysis, pattern recognition to medical diagnosis. What is remarkable in analysing similarity measures for HFSs is the existing relationships between the axioms for similarity measures and those for distance measures. Indeed, by the help of them, any distance measure formulation can be used to produce its counterpart similarity measure, and vice versa. Due to this close relationship with distance measures, the HFS similarity measures can be naturally applied to many real-world situations where the distance measures of HFSs and their extensions have been applied.


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© Springer Nature Singapore Pte Ltd. 2019

Authors and Affiliations

  1. 1.Quchan University of TechnologyQuchanIran
  2. 2.Business SchoolSichuan UniversityChengduChina

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