Paper Info
Title
Ranking methodology of induced Pythagorean trapezoidal fuzzy aggregation operators based on Einstein operations in group decision making
Abstract
The Pythagorean fuzzy number is a new tool for uncertainty and vagueness. It is a generalization of fuzzy numbers and intuitionistic fuzzy numbers. In this paper, we define some Einstein operations on Pythagorean trapezoidal fuzzy set and develop two averaging aggregation operators, which is an induced Pythagorean trapezoidal fuzzy Einstein ordered weighted averaging operator and an induced Pythagorean trapezoidal fuzzy Einstein hybrid averaging (I-PTFEHA) operator. We presented some new methods to deal with the multi-attribute group decision-making problems under the Pythagorean trapezoidal fuzzy environment. Finally, we used some practical examples to illustrate the validity and feasibility of the proposed methods by comparing with existing method. It shows that the proposed I-PTFEHA operator is much better and reliable than the existing one.
Year
DOI
Venue
2020
10.1007/s00500-019-04356-x
Soft Computing
Keywords
DocType
Volume
Pythagorean trapezoidal fuzzy numbers, Einstein operations, Aggregation operators, Group decision making
Journal
24
Issue
ISSN
Citations 
10
1432-7643
0
PageRank 
References 
Authors
0.34
0
4
Name
Order
Citations
PageRank
Muhammad Shakeel154.73
Saleem Abdullah223635.45
Muhammad Aslam329679.45
Muhammad Jamil411.36