Some improved pythagorean fuzzy Dombi power aggregation operators with application in multiple-attribute decision making

被引:16
|
作者
Liu, Peide [1 ]
Khan, Qaisar [2 ]
Mahmood, Tahir [3 ]
Khan, Rashid Ali [4 ]
Khan, Hidayat Ullah [4 ]
机构
[1] Shandong Univ Finance & Econ, Sch Management Sci & Engn, Jinan, Shandong, Peoples R China
[2] Univ Haripur, Dept Pure & Appl Math, Haripur, Pakistan
[3] Int Islamic Univ Islamabad, Dept Math & Stat, Islamabad, Pakistan
[4] Univ Malakand KPK, Dept Math, Chakdara, Pakistan
基金
中国国家自然科学基金;
关键词
Pythagorean fuzzy set; PA operator; Dombi t-norm and Dombi t-conorm; MADM; MEAN OPERATORS; MEMBERSHIP GRADES;
D O I
10.3233/JIFS-201723
中图分类号
TP18 [人工智能理论];
学科分类号
081104 ; 0812 ; 0835 ; 1405 ;
摘要
Pythagorean fuzzy set (PyFS) is an extension of various fuzzy concepts, such as fuzzy set (FS), intuitionistic FS, and it is enhanced mathematical gizmo to pact with uncertain and vague information. In this article, some drawbacks in the Dombi operational rules for Pythagorean fuzzy numbers (PyFNs) are examined and some improved Dombi operational laws for PyFNs are developed. We also find out that the value aggregated using the existing Dombi aggregation operators (DAOs) is not a PyFN. Furthermore, we developed two new aggregations, improved existing aggregation operators (AOs) for aggregating Pythagorean fuzzy information (PyFI) and are applied to multiple-attribute decision making (MADM). To acquire full advantage of power average (PA) operators proposed by Yager, the Pythagorean fuzzy Dombi power average (PyFDPA) operator, the Pythagorean fuzzy Dombi weighted power average (PyFDWPA) operator, Pythagorean fuzzy Dombi power geometric (PyFDPG) operator, Pythagorean fuzzy Dombi weighted geometric (PyFDPWG) operator, improved the existingAOs and their desirable properties are discussed. The foremost qualities of these developed Dombi power aggregation operators is that they purge the cause of discomfited data and are more supple due to general parameter. Additionally, based on these Dombi power AOs, a novel MADM approach is instituted. Finally, a numerical example is given to show the realism and efficacy of the proposed approach and judgment with the existing approaches is also specified.
引用
收藏
页码:9237 / 9257
页数:21
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