Pythagorean Fuzzy Interaction Partitioned Bonferroni Mean Operators and Their Application in Multiple-Attribute Decision-Making

被引：19

作者：

Yang, Wei ^{[1
]}

Shi, Jiarong ^{[1
]}

Liu, Yong ^{[1
]}

Pang, Yongfeng ^{[1
]}

Lin, Ruiyue ^{[2
]}

机构：

[1] Xian Univ Architecture & Technol, Sch Sci, Dept Math, Xian 710055, Shaanxi, Peoples R China

[2] Wenzhou Univ, Dept Math, Higher Educ Zone, Wenzhou 325035, Zhejiang, Peoples R China

来源：

COMPLEXITY | 2018年

基金：

中国博士后科学基金; 中国国家自然科学基金;

关键词：

AGGREGATION OPERATORS; MEMBERSHIP GRADES; INFORMATION; ENVIRONMENT; EXTENSION; TOPSIS; SETS;

D O I：

10.1155/2018/3606245

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The aim of this paper is to develop partitioned Pythagorean fuzzy interaction Bonferroni mean operators based on the Pythagorean fuzzy set, Bonferroni mean, and interaction between membership and nonmembership. Several new aggregation operators are developed including the Pythagorean fuzzy interaction partitioned Bonferroni mean (PFIPBM) operator, the Pythagorean fuzzy weighted interaction partitioned Bonferroni mean (PFWIPBM) operator, the Pythagorean fuzzy interaction partitioned geometric Bonferroni mean (PFIPGBM) operator, and the Pythagorean fuzzy weighted interaction partitioned geometric Bonferroni mean (PFWIPGBM) operator. Some main properties and some special particular cases of the new operators are studied. Many existing operators are the special cases of new aggregation operators. Moreover, a multiple-attribute decisionmaking method based on the proposed operator has been developed and the investment company selection problem is presented to illustrate feasibility and practical advantages of the new method.

引用

页数：25

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