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Soft Computing
Published in: Soft Computing 10/2020

26-09-2019 | Methodologies and Application

Ranking methodology of induced Pythagorean trapezoidal fuzzy aggregation operators based on Einstein operations in group decision making

Authors: Muhammad Shakeel, Saleem Abdullah, Muhammad Aslam, Muhammad Jamil

Published in: Soft Computing | Issue 10/2020

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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.
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Metadata
Title
Ranking methodology of induced Pythagorean trapezoidal fuzzy aggregation operators based on Einstein operations in group decision making
Authors
Muhammad Shakeel
Saleem Abdullah
Muhammad Aslam
Muhammad Jamil
Publication date
26-09-2019
Publisher
Springer Berlin Heidelberg
Published in
Soft Computing / Issue 10/2020
Print ISSN: 1432-7643
Electronic ISSN: 1433-7479
DOI
https://doi.org/10.1007/s00500-019-04356-x

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