Pythagorean fuzzy set: state of the art and future directions

X Peng, G Selvachandran - Artificial Intelligence Review, 2019 - Springer
Pythagorean fuzzy set, generalized by Yager, is a new tool to deal with vagueness
considering the membership grade μ μ and non-membership ν ν satisfying the condition μ …

Decision making methods based on fuzzy aggregation operators: Three decades review from 1986 to 2017

A Mardani, M Nilashi, EK Zavadskas… - … Journal of Information …, 2018 - World Scientific
In many real-life decision making (DM) situations, the available information is vague or
imprecise. To adequately solve decision problems with vague or imprecise information …

[HTML][HTML] Multiple attribute decision making based on Pythagorean fuzzy Aczel-Alsina average aggregation operators

T Senapati, G Chen, R Mesiar, A Saha - Journal of Ambient Intelligence …, 2023 - Springer
A useful expansion of the intuitionistic fuzzy set (IFS) for dealing with ambiguities in
information is the Pythagorean fuzzy set (PFS), which is one of the most frequently used …

Pythagorean fuzzy interaction power Bonferroni mean aggregation operators in multiple attribute decision making

L Wang, N Li - International Journal of Intelligent Systems, 2020 - Wiley Online Library
The power Bonferroni mean (PBM) operator can relieve the influence of unreasonable
aggregation values and also capture the interrelationship among the input arguments, which …

Spherical aggregation operators and their application in multiattribute group decision‐making

S Ashraf, S Abdullah - International Journal of Intelligent …, 2019 - Wiley Online Library
Spherical fuzzy sets (SFSs) are a new extension of Cuong's picture fuzzy sets (PFSs). In
SFSs, membership degrees satisfy the condition instead of as is in PFSs. In the present …

Some generalized q‐rung orthopair fuzzy Einstein interactive geometric aggregation operators with improved operational laws

HMA Farid, M Riaz - International Journal of Intelligent Systems, 2021 - Wiley Online Library
The q‐rung orthopair sets (q‐ROFSs) is an extended version of conventional orthopair fuzzy
sets, such as intuitionistic fuzzy sets (IFSs) and Pythagorean fuzzy sets (PFSs). The most …

Linear Diophantine fuzzy Einstein aggregation operators for multi‐criteria decision‐making problems

A Iampan, GS García, M Riaz… - Journal of …, 2021 - Wiley Online Library
The linear Diophantine fuzzy set (LDFS) has been proved to be an efficient tool in
expressing decision maker (DM) evaluation values in multicriteria decision‐making (MCDM) …

[HTML][HTML] Spherical fuzzy logarithmic aggregation operators based on entropy and their application in decision support systems

Y Jin, S Ashraf, S Abdullah - Entropy, 2019 - mdpi.com
Keeping in view the importance of new defined and well growing spherical fuzzy sets, in this
study, we proposed a novel method to handle the spherical fuzzy multi-criteria group …

Group decision making based on entropy measure of Pythagorean fuzzy sets and Pythagorean fuzzy weighted arithmetic mean aggregation operator of Pythagorean …

K Kumar, SM Chen - Information Sciences, 2023 - Elsevier
In this paper, we propose a new entropy measure of Pythagorean fuzzy sets (PFSs). The
proposed entropy measure of PFSs can conquer the shortcomings of the existing entropy …

[HTML][HTML] Pythagorean fuzzy Dombi aggregation operators and their application in decision support system

AA Khan, S Ashraf, S Abdullah, M Qiyas, J Luo… - Symmetry, 2019 - mdpi.com
Keeping in mind the importance and well growing Pythagorean fuzzy sets, in this paper,
some novel operators for Pythagorean fuzzy sets and their properties are demonstrated. In …