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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Bibliographic Details
Published in:	International journal of intelligent systems Vol. 33; no. 3; pp. 634 - 652
Main Authors:	Wei, Guiwu, Wei, Yu
Format:	Journal Article
Language:	English
Published:	New York Hindawi Limited 01-03-2018
Subjects:	cosine function cosine similarity measure Diagnosis Fuzzy sets Intelligent systems Medical diagnosis Pattern recognition Pythagorean fuzzy sets Similarity Similarity measures Trigonometric functions
Online Access:	Get full text
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Summary:	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