New measure of circular intuitionistic fuzzy sets and its application in decision making

被引：9
|
作者：
Xu, Changlin [1 ,2 ]
Wen, Yaqing [1 ]
机构：
[1] North Minzu Univ, Sch Math & Informat Sci, Yinchuan 750021, Ningxia, Peoples R China
[2] North Minzu Univ, Key Lab Intelligent Informat & Big Data Proc Ningx, Yinchuan 750021, Ningxia, Peoples R China
来源：
AIMS MATHEMATICS | 2023年 / 8卷 / 10期
基金：
中国国家自然科学基金;
关键词：
circular intuitionistic fuzzy set; distance; hesitation degree; fuzzy multi-criteria decision making; SIMILARITY MEASURES; OPERATIONS;
D O I：
10.3934/math.20231226
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Circular intuitionistic fuzzy sets are further extensions of intuitionistic fuzzy sets with a stronger ability to express uncertain information than intuitionistic fuzzy sets. This paper firstly defines a new distance measure for circular intuitionistic fuzzy sets based on the theory of circular intuitionistic fuzzy sets, considering the information of four aspects: membership degree, non-membership degree, radius and the assignment of hesitation degree, and proves that the new distance satisfies the distance measure conditions. Secondly, by constructing a manual testing framework, the new distance is analyzed in comparison with the existing distance metric to show the rationality of the new method. Finally, the method is applied to fuzzy multi-criteria decision making to further demonstrate the effectiveness and practicality of the method.
引用
收藏
页码：24053 / 24074
页数：22
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