Some Trigonometric Similarity Measures Based on the Choquet Integral for Pythagorean Fuzzy Sets and Applications to Pattern Recognition

Ezgi Türkarslan (), Murat Olgun (), Mehmet Ünver () and Şeyhmus Yardimci ()
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Ezgi Türkarslan: TED University, Faculty of Arts And Science, Department of Mathematics
Murat Olgun: Ankara University, Faculty of Science, Department of Mathematics
Mehmet Ünver: Ankara University, Faculty of Science, Department of Mathematics
Şeyhmus Yardimci: Ankara University, Faculty of Science, Department of Mathematics

A chapter in Pythagorean Fuzzy Sets, 2021, pp 83-106 from Springer

Abstract: Abstract In this chapter, we propose ten trigonometric similarity measures based on the Choquet integral for Pythagorean fuzzy sets using the trigonometric functions cosine and cotangent. We show that the proposed trigonometric similarity measures are more sensitive expansions of some existing trigonometric similarity measures. Subsequently, we give applications of proposed similarity measures on pattern recognition and medical diagnosis to show the efficiency of these trigonometric similarity measures. We also compare the results with some previous results.

Keywords: Pythagorean fuzzy sets; Choquet integral; Similarity measure; Pattern recognition (search for similar items in EconPapers)
Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-981-16-1989-2_4

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DOI: 10.1007/978-981-16-1989-2_4

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