On generalized similarity measures for Pythagorean fuzzy sets and their applications to multiple attribute decision‐making

2019 ◽  
Vol 34 (10) ◽  
pp. 2556-2583 ◽  
Author(s):  
Rajkumar Verma ◽  
José M. Merigó
Keyword(s):  
Decision Making ◽  
Fuzzy Sets ◽  
Similarity Measures ◽  
Multiple Attribute Decision Making ◽  
Pythagorean Fuzzy Sets ◽  
Multiple Attribute

scholarly journals Similarity Measures of q-Rung Orthopair Fuzzy Sets Based on Cosine Function and Their Applications

Mathematics ◽  
2019 ◽  
Vol 7 (4) ◽  
pp. 340 ◽  
Author(s):  
Wang ◽  
Wang ◽  
Wei ◽  
Wei
Keyword(s):  
Decision Making ◽  
Pattern Recognition ◽  
Fuzzy Sets ◽  
Similarity Measures ◽  
Multiple Attribute Decision Making ◽  
Membership Degree ◽  
Numerical Examples ◽  
Multiple Attribute ◽  
Cosine Similarity Measures ◽  
Scheme Selection

In this article, we propose another form of ten similarity measures by considering the function of membership degree, non-membership degree, and indeterminacy membership degree between the q-ROFSs on the basis of the traditional cosine similarity measures and cotangent similarity measures. Then, we utilize our presented ten similarity measures and ten weighted similarity measures between q-ROFSs to deal with multiple attribute decision-making (MADM) problems including pattern recognition and scheme selection. Finally, two numerical examples are provided to illustrate the scientific and effective of the similarity measures for pattern recognition and scheme selection.

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