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

Mehmet Ünver; Murat Olgun; Ezgi  Türkarslan

doi:10.47852/bonviewJCCE2022010105

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

Authors

Mehmet Ünver Department of Mathematics, Ankara University, Türkiye
Murat Olgun Department of Mathematics, Ankara University, Türkiye https://orcid.org/0000-0002-8660-5435
Ezgi Türkarslan Department of Mathematics, TED University, Türkiye 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.

Received: 18 November 2021 | Revised: 18 December 2021 | Accepted: 24 December 2021

Conflicts of Interest

The authors declare that they have no conflicts of interest to this work.

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Published

2022-01-31

Issue

Vol. 1 No. 1 (2022)

Section

Research Articles

License

This work is licensed under a Creative Commons Attribution 4.0 International License.

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