login

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

International Journal of Intelligent SystemsPublished 30 January 2018
Guiwu Wei, Yu Wei
Citations299
SJR quartileQ1
SJR score1.14
SNIP1.40

TL;DR

Ten similarity measures between Pythagorean fuzzy sets (PFSs) based on the cosine function are presented by considering the degree of membership, degree of nonmembership and degree of hesitation in PFSs and applied to pattern recognition and medical diagnosis.

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.

Keywords

Computer ScienceDecision SciencesEnvironmental Science