New Pythagorean Fuzzy Interaction Maclaurin Symmetric Mean Operators and Their Application in Multiple Attribute Decision Making

被引：39
|
作者：
Yang, Wei [1 ]
Pang, Yongfeng [1 ]
机构：
[1] Xian Univ Architecture & Technol, Sch Sci, Dept Math, Xian 710055, Shaanxi, Peoples R China
来源：
IEEE ACCESS | 2018年 / 6卷
基金：
中国国家自然科学基金;
关键词：
Multiple attribute decision making; Pythagorean fuzzy set; Maclaurin symmetric mean; aggregation operator; LINGUISTIC AGGREGATION OPERATORS; MEMBERSHIP GRADES; NUMBERS; INFORMATION; EXTENSION; TOPSIS; SETS;
D O I：
10.1109/ACCESS.2018.2856270
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
The aim of this paper is to develop some Pythagorean fuzzy interaction operators by considering interaction between membership and non-membership. The generalized Pythagorean fuzzy interaction weighted averaging operator and the generalized Pythagorean fuzzy interaction weighted geometric averaging operator have been developed first. By using the Maclaurin symmetric mean operator, the Pythagorean fuzzy interaction Maclaurin symmetric mean (PFIMSM) operator and the Pythagorean fuzzy interaction weighted Maclaurin symmetric mean (PFIWMSM) operator have been developed. Some special cases of the new aggregation operators have been studied. A new multiple attribute decision-making method based on the PFIMSM operator and the PFIWMSM operator has been developed. Numerical example has been presented to illustrate the proposed method, and comparison analysis has been conducted to demonstrate the applicability of the new method.
引用
收藏
页码：39241 / 39260
页数：20
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