Cubic fuzzy Einstein aggregation operators and its application to decision-making

被引：80
|
作者：
Fahmi, Aliya [1 ]
Amin, Fazli [2 ]
Abdullah, Saleem [3 ]
Ali, Asad [2 ]
机构：
[1] Hazara Univ Mansehra, Dept Math, Mansehra, Pakistan
[2] Hazara Univ Mansehra, Dept Math, Math, Mansehra, Pakistan
[3] Abdul Wali Khan Univ Mardan, Dept Math, Mardan, Pakistan
来源：
INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE | 2018年 / 49卷 / 11期
关键词：
cubic fuzzy set (CFs); Einstein t-norm; Arithmetic averaging operator; multi-attribute decision-making (MADM); SETS; NUMBERS;
D O I：
10.1080/00207721.2018.1503356
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
In this paper, we define some Einstein operations on cubic fuzzy set (CFS) and develop three arithmetic averaging operators, which are cubic fuzzy Einstein weighted averaging (CFEWA) operator, cubic fuzzy Einstein ordered weighted averaging (CFEOWA) operator and cubic fuzzy Einstein hybrid weighted averaging (CFEHWA) operator, for aggregating cubic fuzzy data. The CFEHWA operator generalises both the CFEWA and CFEOWA operators. Furthermore, we develop various properties of these operators and derive the relationship between the proposed operators and the exiting aggregation operators. We apply CFEHWA operator to multiple attribute decision-making with cubic fuzzy data. Finally, a numerical example is constructed to demonstrate the established approach.
引用
收藏
页码：2385 / 2397
页数：13
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