Similarity measures of Pythagorean fuzzy sets based on the cosine function and their applications

Similarity measures of Pythagorean fuzzy sets based on the cosine function and their applications

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...

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Veröffentlicht in:International journal of intelligent systems 2018-03, Vol.33 (3), p.634-652
Hauptverfasser: Wei, Guiwu, Wei, Yu
Format: Artikel
Sprache:eng
Schlagworte:
cosine function
cosine similarity measure
Diagnosis
Fuzzy sets
Intelligent systems
Medical diagnosis
Pattern recognition
Pythagorean fuzzy sets
Similarity
Similarity measures
Trigonometric functions
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Zusammenfassung: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.
ISSN:0884-8173
1098-111X
DOI:10.1002/int.21965