4.7 Article

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

Journal

INTERNATIONAL JOURNAL OF INTELLIGENT SYSTEMS
Volume 33, Issue 3, Pages 634-652

Publisher

WILEY
DOI: 10.1002/int.21965

Keywords

cosine function; cosine similarity measure; medical diagnosis; pattern recognition; Pythagorean fuzzy sets

Funding

  1. National Natural Science Foundation of China [61174149, 71571128]
  2. Humanities and Social Sciences Foundation of Ministry of Education of the People's Republic of China [17XJA630003]
  3. construction plan of scientific research innovation team for colleges and universities in Sichuan Province [15TD0004]

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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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