Trapezoidal cubic fuzzy number Einstein hybrid weighted averaging operators and its application to decision making

被引：90

作者：

Fahmi, Aliya ^{[1
]}

Abdullah, Saleem ^{[2
]}

Amin, Fazli ^{[1
]}

Khan, M. Sajjad Ali ^{[1
]}

机构：

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

[2] Abdul Wali Khan Univ Mardan, Dept Math, Mardan, Pakistan

来源：

SOFT COMPUTING | 2019年 / 23卷 / 14期

关键词：

Trapezoidal cubic fuzzy set (TrCFS); Einstein t-norm; Arithmetic averaging operator; Multi-attribute decision making (MADM);

D O I：

10.1007/s00500-018-3242-6

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

In this paper, we define some Einstein operations on trapezoidal cubic fuzzy set and develop three arithmetic averaging operators, that is trapezoidal cubic fuzzy Einstein weighted averaging (TrCFEWA) operator, trapezoidal cubic fuzzy Einstein ordered weighted averaging (TrCFEOWA) operator and trapezoidal cubic fuzzy Einstein hybrid weighted averaging (TrCFEHWA) operator, for aggregating trapezoidal cubic fuzzy information. The TrCFEHWA operator generalizes both the TrCFEWA and TrCFEOWA operators. Furthermore, we establish various properties of these operators and derive the relationship between the proposed operators and the exiting aggregation operators. We apply on the TrCFEHWA operator to multiple attribute decision making with trapezoidal cubic fuzzy information. Finally, a numerical example is providing to demonstrate the submission of the established approach.

引用

页码：5753 / 5783

页数：31

共 23 条

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