Cosine and Cotangent Similarity Measures Based on Choquet Integral for Spherical Fuzzy Sets and Applications to Pattern Recognition

Authors

  • Mehmet Ünver Faculty of Science, Department of Mathematics, Ankara University, Ankara, Turkey
  • Murat Olgun Faculty of Science Department of Mathematics, Ankara University, Ankara, Turkey https://orcid.org/0000-0002-8660-5435
  • Ezgi Türkarslan Faculty of Arts And Science, Department of Mathematics, TED University, Ankara, Turkey https://orcid.org/0000-0001-5736-839X

DOI:

https://doi.org/10.47852/bonviewJCCE2022010105

Keywords:

spherical fuzzy set, cosine and cotangent similarity measure, fuzzy measure, Choquet integral, pattern recognition

Abstract

The notion of trigonometric similarity measure (SM) for spherical fuzzy sets (SFSs) has become very important in solving various problems in pattern recognition and medical diagnosis. This study proposes some trigonometric SMs with the help of Choquet integral for SFSs. The proposed trigonometric SMs clearly satisfy the axiomatic definition of classical SMs. We also perform these SMs in pattern recognition problems to examine a comparative analysis of the proposed trigonometric SMs with some existing SMs. Spearman’s rank correlation coefficient is utilized to demonstrate the effectiveness of the proposed SMs.

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Published

2022-01-31

How to Cite

Ünver, M., Olgun, M., & Türkarslan, E. . (2022). Cosine and Cotangent Similarity Measures Based on Choquet Integral for Spherical Fuzzy Sets and Applications to Pattern Recognition. Journal of Computational and Cognitive Engineering, 1(1), 21–31. https://doi.org/10.47852/bonviewJCCE2022010105

Issue

Section

Research Articles