New Similarity Measures of Pythagorean Fuzzy Sets and Their Applications

被引：67
作者：
Zhang, Qiang [1 ]
Hu, Junhua [1 ]
Feng, Jinfu [1 ]
Liu, An [1 ]
Li, Yongli [2 ,3 ]
机构：
[1] Air Force Engn Univ, Aeronaut Engn Coll, Xian 710038, Peoples R China
[2] Shanghai Jiao Tong Univ, Minist Educ, Key Lab Marine Intelligent Equipment & Syst, Shanghai 200240, Peoples R China
[3] Engn Univ CAPF, Equipment Engn Coll, Xian 710086, Peoples R China
来源：
IEEE ACCESS | 2019年 / 7卷
基金：
中国国家自然科学基金;
关键词：
Similarity measure; pythagorean fuzzy set; pythagorean fuzzy number; intuitionistic fuzzy set; ranking method; CRITERIA DECISION-MAKING; MEMBERSHIP GRADES; TOPSIS METHOD; EXTENSION; NUMBERS;
D O I：
10.1109/ACCESS.2019.2942766
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
Similarity measure, as a tool to measure the similarity degree between two objects, is an important research content in fuzzy set theory. Pythagorean fuzzy set, as a new extension of fuzzy set theory, has been widely used in various fields. It is very necessary to study the similarity measure of the Pythagorean Fuzzy set. Considering that the existing similarity measures cannot distinguish the highly similar but inconsistent Pythagorean fuzzy sets and the calculation results are error-prone in application, this paper introduces the exponential function to propose several new similarity measures of the Pythagorean fuzzy set. Firstly, on the premise of introducing the existing similarity measures, several new similarity measures are defined and their properties are discussed, and then the weighted similarity measures are defined. Then, the new similarity measures and the existing similarity measures are compared by an example, and it is verified that the new similarity measures can effectively distinguish highly similar but inconsistent Pythagorean fuzzy sets. Finally, through three simulation cases, it is verified that the new similarity measures can deal with different practical application problems more accurately and reliable than the existing similarity measures.
引用
收藏
页码：138192 / 138202
页数：11
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