Group Decision Making Based on Triangular Neutrosophic Cubic Fuzzy Einstein Hybrid Weighted Averaging Operators

被引：20

作者：

Fahmi, Aliya ^{[1
]}

Amin, Fazli ^{[1
]}

Khan, Madad ^{[2
]}

Smarandache, Florentin ^{[3
]}

机构：

[1] Hazara Univ Mansehra, Dept Math, Dhodial 21130, Pakistan

[2] COMSATS Univ Islamabad, Dept Math, Abbottabad Campus, Abbottabad 22060, Pakistan

[3] Univ New Mexico, Math Dept, 705 Gurley Ave, Gallup, NM 87301 USA

来源：

SYMMETRY-BASEL | 2019年 / 11卷 / 02期

关键词：

triangular neutrosophic cubic fuzzy number; Einstein t-norm; arithmetic averaging operator; Multi-attribute decision making; numerical application; OPERATIONS;

D O I：

10.3390/sym11020180

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

In this paper, a new concept of the triangular neutrosophic cubic fuzzy numbers (TNCFNs), their score and accuracy functions are introduced. Based on TNCFNs, some new Einstein aggregation operators, such as the triangular neutrosophic cubic fuzzy Einstein weighted averaging (TNCFEWA), triangular neutrosophic cubic fuzzy Einstein ordered weighted averaging (TNCFEOWA) and triangular neutrosophic cubic fuzzy Einstein hybrid weighted averaging (TNCFEHWA) operators are developed. Furthermore, their application to multiple-attribute decision-making with triangular neutrosophic cubic fuzzy (TNCF) information is discussed. Finally, a practical example is given to verify the developed approach and to demonstrate its practicality and effectiveness.

引用

页数：29

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