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 …

Generalized orthopair fuzzy sets

RR Yager - IEEE transactions on fuzzy systems, 2016 - ieeexplore.ieee.org
We note that orthopair fuzzy subsets are such that that their membership grades are pairs of
values, from the unit interval, one indicating the degree of support for membership in the …

Fermatean fuzzy sets

T Senapati, RR Yager - Journal of ambient intelligence and humanized …, 2020 - Springer
In this paper, we propose Fermatean fuzzy sets. We compare Fermatean fuzzy sets with
Pythagorean fuzzy sets and intuitionistic fuzzy sets. We focus on complement operator of …

Fermatean fuzzy weighted averaging/geometric operators and its application in multi-criteria decision-making methods

T Senapati, RR Yager - Engineering Applications of Artificial Intelligence, 2019 - Elsevier
Fermatean fuzzy sets (FFSs), proposed by Senapati and Yager (0000), can handle uncertain
information more easily in the process of decision making. They defined basic operations …

Some new operations over Fermatean fuzzy numbers and application of Fermatean fuzzy WPM in multiple criteria decision making

T Senapati, RR Yager - Informatica, 2019 - content.iospress.com
Fermatean fuzzy sets (FFSs), proposed by Senapati and Yager (2019a), can handle
uncertain information more easily in the process of decision making. They defined basic …

Pythagorean fuzzy power aggregation operators in multiple attribute decision making

G Wei, M Lu - International Journal of Intelligent Systems, 2018 - Wiley Online Library
In this paper, we utilize power aggregation operators to develop some Pythagorean fuzzy
power aggregation operators: Pythagorean fuzzy power average operator, Pythagorean …

Multicriteria Pythagorean fuzzy decision analysis: A hierarchical QUALIFLEX approach with the closeness index-based ranking methods

X Zhang - Information Sciences, 2016 - Elsevier
Pythagorean fuzzy set initially developed by Yager (2014) is a new tool to model imprecise
and ambiguous information in multicriteria decision making problems. In this paper, we …

Pythagorean fuzzy information measures and their applications

X Peng, H Yuan, Y Yang - International Journal of Intelligent …, 2017 - Wiley Online Library
Pythagorean fuzzy set (PFS), originally proposed by Yager, is more capable than
intuitionistic fuzzy set (IFS) to handle vagueness in the real world. The main purpose of this …

A novel approach based on similarity measure for Pythagorean fuzzy multiple criteria group decision making

X Zhang - International Journal of Intelligent Systems, 2016 - Wiley Online Library
The Pythagorean fuzzy set, as a new extension of intuitionistic fuzzy set, has recently been
developed to manage the complex uncertainty in practical group decision problems. The …

Similarity measures of Pythagorean fuzzy sets based on the cosine function and their applications

G Wei, Y Wei - International Journal of Intelligent Systems, 2018 - Wiley Online Library
In this paper, we presented 10 similarity measures between Pythagorean fuzzy sets (PFSs)
based on the cosine function by considering the degree of membership, degree of …