Pythagorean trapezoidal fuzzy geometric aggregation operators based on Einstein operations and their application in group decision making

被引：14

作者：

Shakeel, M. ^{[1
]}

Abdullah, Saleem ^{[2
]}

Shahzad, M. ^{[1
]}

Amin, F. ^{[1
]}

Mahmood, T. ^{[3
]}

Amin, N. ^{[1
]}

机构：

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

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

[3] Univ Engn & Technol, Dept Elect, Sub Campus Chakwal, Taxila, Pakistan

来源：

JOURNAL OF INTELLIGENT & FUZZY SYSTEMS | 2019年 / 36卷 / 01期

关键词：

Trapezoidal fuzzy numbers; pythagorean trapezoidal fuzzy numbers; Einstein operation; aggregation operation and group decision making; MEMBERSHIP GRADES; NUMBERS;

D O I：

10.3233/JIFS-181329

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

The aim of this paper is to investigate information aggregation methods under Pythagorean trapezoidal fuzzy environment. Some Einstein operational laws on Pythagorean trapezoidal fuzzy numbers are defined based on Einstein sum and Einstein product. Based on Einstein operations we define Pythagorean trapezoidal fuzzy Einstein weighted geometric (PTFEWG) operator, Pythagorean trapezoidal fuzzy Einstein ordered weighted geometric (PTFEOWG) operator and Pythagorean trapezoidal fuzzy Einstein hybrid geometric (PTFEHG) operator. Furthermore, we apply the proposed aggregation operators to deal with multiple attribute group decision making. In the last we construct a numerical example for multiple attribute group decision making problem and compare the result with existing method.

引用

页码：309 / 324

页数：16

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