Novel spherical fuzzy distance and similarity measures and their applications to medical diagnosis

Donyatalab Y., Gundog F. K., Farid F., Seyfi-Shishavan S. A., Farrokhizadeh E., Kahraman C.

EXPERT SYSTEMS WITH APPLICATIONS, vol.191, 2022 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 191
  • Publication Date: 2022
  • Doi Number: 10.1016/j.eswa.2021.116330
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, PASCAL, Aerospace Database, Applied Science & Technology Source, Communication Abstracts, Compendex, Computer & Applied Sciences, INSPEC, Metadex, Public Affairs Index, Civil Engineering Abstracts
  • Keywords: Similarity measu r e s, Minkowski distance, Minkowski-Hausdorf f distance, F-similarity measures, Spherical fuzzy sets, Trigonometri c similarity measures, SETS
  • Istanbul Technical University Affiliated: Yes


Spherical fuzzy sets (SFSs) have recently become more popular in various fields. It was proposed as a generalization of picture fuzzy sets and Pythagorean fuzzy sets in order to deal with uncertainty and fuzziness information. The similarity measure is one of the beneficial tools to determine the degree of similarity between objects. It has many crucial application areas such as decision making, data mining, medical diagnosis, and pattern recognition. In the short time since their first appearance, some different distance and similarity measures of SFSs have been proposed, but they are limited through the literature. In this study, some novel distances and similarity measures of spherical fuzzy sets are presented. Then, we propose the Minkowski, MinkowskiHausdorff, Weighted Minkowski and Weighted Minkowski-Hausdorff distances for SFSs. In addition, trigonometric and f-similarity measures are developed based on the proposed distances in this paper. The newly defined similarity measures are applied to medical diagnosis problem for COVID-19 virus and results are discussed. A comparative study of new similarity measures was established and some advantages of the proposed work are discussed.