Bipolar Complex Fuzzy Hamacher Aggregation Operators and Their Applications in Multi-Attribute Decision Making

被引：32
|
作者：
Mahmood, Tahir [1 ]
Rehman, Ubaid ur [1 ]
Ahmmad, Jabbar [1 ]
Santos-Garcia, Gustavo [2 ,3 ]
机构：
[1] Int Islamic Univ, Dept Math & Stat, Islamabad 44000, Pakistan
[2] Univ Salamanca, Fac Econ & Empresa, Salamanca 37007, Spain
[3] Univ Salamanca, Multidisciplinary Inst Enterprise IME, Salamanca 37007, Spain
来源：
MATHEMATICS | 2022年 / 10卷 / 01期
关键词：
bipolar complex fuzzy set; bipolar fuzzy set; Hamacher aggregation; multi-attribute decision making; SETS; LOGIC;
D O I：
10.3390/math10010023
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
On the basis of Hamacher operations, in this manuscript, we interpret bipolar complex fuzzy Hamacher weighted average (BCFHWA) operator, bipolar complex fuzzy Hamacher ordered weighted average (BCFHOWA) operator, bipolar complex fuzzy Hamacher hybrid average (BCFHHA) operator, bipolar complex fuzzy Hamacher weighted geometric (BCFHWG) operator, bipolar complex fuzzy Hamacher ordered weighted geometric (BCFHOWG) operator, and bipolar complex fuzzy Hamacher hybrid geometric (BCFHHG) operator. We present the features and particular cases of the above-mentioned operators. Subsequently, we use these operators for methods that can resolve bipolar complex fuzzy multiple attribute decision making (MADM) issues. We provide a numerical example to authenticate the interpreted methods. In the end, we compare our approach with existing methods in order to show its effectiveness and practicality.
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页数：26
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