Similarity measures of Pythagorean fuzzy sets based on the cosine function and their applications |
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| Authors: | Guiwu Wei Yu Wei |
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| Affiliation: | 1. School of Business, Sichuan Normal University, Chengdu, People's Republic of China;2. School of Management and Economics, University of Electronic Science and Technology of China, Chengdu, People's Republic of China;3. School of Finance, Yunnan University of Finance and Economics, Kunming, People's Republic of China |
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| Abstract: | In this paper, we presented 10 similarity measures between Pythagorean fuzzy sets (PFSs) based on the cosine function by considering the degree of membership, degree of nonmembership and degree of hesitation in PFSs. Then, we applied these similarity measures and weighted similarity measures between PFSs to pattern recognition and medical diagnosis. Finally, two illustrative examples are given to demonstrate the efficiency of the similarity measures for pattern recognition and medical diagnosis. |
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| Keywords: | cosine function cosine similarity measure medical diagnosis pattern recognition Pythagorean fuzzy sets |
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