Averaging aggregation operators with Pythagorean trapezoidal fuzzy numbers and their application to group decision making

M Shakeel, S Abduulah, M Shahzad… - Journal of Intelligent …, 2019 - content.iospress.com
The aim of this paper is to investigate information aggregation methods under Pythagorean
trapezoidal fuzzy environment. Pythagorean fuzzy set, an extension of the intuitionistic fuzzy …

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

M Shakeel, S Abdullah, M Aslam, M Jamil - Soft Computing, 2020 - Springer
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 …

Neutrality operations-based Pythagorean fuzzy aggregation operators and its applications to multiple attribute group decision-making process

H Garg - Journal of Ambient Intelligence and Humanized …, 2020 - Springer
Pythagorean fuzzy sets accommodate more uncertainties than the intuitionistic fuzzy sets
and hence it is one of the most important concepts to describe the fuzzy information in the …

A novel aggregation method for Pythagorean fuzzy multiple attribute group decision making

S Zeng, Z Mu, T Baležentis - International Journal of Intelligent …, 2018 - Wiley Online Library
As an extension of fuzzy set, a Pythagorean fuzzy set has recently been developed to model
imprecise and ambiguous information in practical group decision‐making problems. The …

Pythagorean fuzzy prioritized aggregation operators and their application to multi-attribute group decision making

MSA Khan, S Abdullah, A Ali, F Amin - Granular Computing, 2019 - Springer
Pythagorean fuzzy set is a useful tool to deal with the fuzziness and vagueness. Many
aggregation operators have been proposed by many researchers based on Pythagorean …

Novel neutrality operation–based Pythagorean fuzzy geometric aggregation operators for multiple attribute group decision analysis

H Garg - International Journal of Intelligent Systems, 2019 - Wiley Online Library
Pythagorean fuzzy sets (PFSs) accommodate more uncertainties than Lx the intuitionistic
fuzzy sets and hence its applications are more extensive. Under the PFS, the objective of …

Fundamental properties of interval‐valued Pythagorean fuzzy aggregation operators

X Peng, Y Yang - International journal of intelligent systems, 2016 - Wiley Online Library
In this paper, we investigate the multiple attribute group decision making (MAGDM)
problems with interval‐valued Pythagorean fuzzy sets (IVPFSs). First, the concept …

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

M Shakeel, S Abdullah, M Shahzad… - Journal of Intelligent …, 2019 - content.iospress.com
The aim of this paper is to investigate information aggregation methods under Pythagorean
trapezoidal fuzzy environment. Some Einstein operational laws on Pythagorean trapezoidal …

Induced averaging aggregation operators with interval Pythagorean trapezoidal fuzzy numbers and their application to group decision making

M Shakeel, K Rahman, MSA Khan, M Ullah - The Nucleus, 2017 - thenucleuspak.org.pk
Pythagorean fuzzy number is a new tool for uncertainty and vagueness. It is a generalization
of fuzzy numbers and intuitionistic fuzzy numbers. This paper deal with induced interval …

[PDF][PDF] Some arithmetic aggregation operators with intuitionistic trapezoidal fuzzy numbers and their application to group decision making.

G Wei - J. Comput., 2010 - Citeseer
Methods for aggregating intuitionistic trapezoidal fuzzy information are investigated. Some
operational laws of intuitionistic trapezoidal fuzzy numbers are introduced. Based on these …