Complex Pythagorean Dombi fuzzy operators using aggregation operators and theirdecision-making

被引：71

作者：

Akram, Muhammad ^{[1
]}

Khan, Ayesha ^{[1
]}

Borumand Saeid, Arsham ^{[2
]}

机构：

[1] Univ Punjab, Dept Math, Lahore, Pakistan

[2] Shahid Bahonar Univ Kerman, Fac Math & Comp, Dept Pure Math, Kerman, Iran

来源：

EXPERT SYSTEMS | 2021年 / 38卷 / 02期

关键词：

complex Pythagorean Dombi fuzzy weighted arithmetic averaging operator; complex Pythagorean fuzzy sets; Dombi operations on complex Pythagorean fuzzy numbers; multi criteria decision-making; <mml; math altimg="urn; x-wiley; 02664720; media; exsy12626; exsy12626-math-0001" display="inline" overflow="scroll"><mml; mi mathvariant="script">T</mml; mi></mml; math>-norms; GROUP DECISION-MAKING; MEMBERSHIP GRADES; TOPSIS;

D O I：

10.1111/exsy.12626

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

A complex Pythagorean fuzzy set, an extension of Pythagorean fuzzy set, is a powerful tool to handle two dimension phenomenon. Dombi operators with operational parameters have outstanding flexibility. This article presents certain aggregation operators under complex Pythagorean fuzzy environment, including complex Pythagorean Dombi fuzzy weighted arithmetic averaging (CPDFWAA) operator, complex Pythagorean Dombi fuzzy weighted geometric averaging (CPDFWGA) operator, complex Pythagorean Dombi fuzzy ordered weighted arithmetic averaging (CPDFOWAA) operator and complex Pythagorean Dombi fuzzy ordered weighted geometric averaging (CPDFOWGA) operator. Moreover, this paper explores some fundamental properties of these operators with appropriate elaboration. A decision-making numerical example related to the selection of bank to purchase loan is given to demonstrate the significance of our proposed approach. Finally, a comparative analysis with existing operators is given to demonstrate the peculiarity of our proposed operators.

引用

页数：28

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