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

• Published in: Expert systems with applications 2022-04, Vol.191, p.116330, Article 116330
• Main Authors: Donyatalab, Yaser, Kutlu Gündoğdu, Fatma, Farid, Fariba, Seyfi-Shishavan, Seyed Amin, Farrokhizadeh, Elmira, Kahraman, Cengiz
• Format: Article
• Language: English
• Subjects: Comparative studies; Data mining; Decision making; Diagnosis; F-similarity measures; Fuzzy sets; Medical diagnosis; Minkowski distance; Minkowski-Hausdorff distance; Pattern recognition; Similarity; Similarity measures; Spherical fuzzy sets; Trigonometric similarity measures
• ISSN: 0957-4174; 1873-6793
• DOI: 10.1016/j.eswa.2021.116330

•Novel Spherical Fuzzy Distance and Similarity Measures are developed and proved.•Trigonometric and f-similarity measures are developed by the proposed distances.•Minkowski, Minkowski-Hausdorff and their weighted distances for SFSs are developed.•The proposed distance and similarity measures are applied to medical diagnosis.•Comparative analyses based on SFSs similarity and entropy measures are presented. 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, Minkowski-Hausdorff, 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.