Pythagorean cubic fuzzy aggregation operators and their application to multi-criteria decision making problems

F Khan, MSA Khan, M Shahzad… - Journal of Intelligent & …, 2019 - content.iospress.com
Since Pythagorean fuzzy sets and interval-valued Pythagorean fuzzy sets are better tools to
deal with fuzziness and vagueness. Therefore, in this paper, we present the notion of …

Cubic Pythagorean fuzzy sets and their application to multi-attribute decision making with unknown weight information

SZ Abbas, MS Ali Khan, S Abdullah… - Journal of Intelligent …, 2019 - content.iospress.com
Pythagorean fuzzy sets (PFSs) and interval-valued Pythagorean fuzzy sets (IVPFSs) play a
vital role in decisionmaking processes. In this paper based on PFS and IVPFS we introduce …

Pythagorean cubic fuzzy aggregation information based on confidence levels and its application to multi-criteria decision making process

F Khan, S Abdullah, T Mahmood… - Journal of Intelligent …, 2019 - content.iospress.com
Pythagorean cubic fuzzy set, is an extension of the interval valued Pythagorean fuzzy set
which relax the condition of the square sum of its membership and non-membership degree …

Some new Pythagorean fuzzy Choquet–Frank aggregation operators for multi‐attribute decision making

Y Xing, R Zhang, J Wang, X Zhu - International Journal of …, 2018 - Wiley Online Library
Pythagorean fuzzy set (PFS) whose main feature is that the square sum of the membership
degree and the non‐membership degree is equal to or less than one, is a powerful tool to …

Pythagorean Dombi fuzzy aggregation operators with application in multicriteria decision‐making

M Akram, WA Dudek, JM Dar - International Journal of …, 2019 - Wiley Online Library
A Pythagorean fuzzy set, an extension of intuitionistic fuzzy sets, is very helpful in
representing vague information that occurs in real world scenarios. The Dombi operators …

Symmetric Pythagorean fuzzy weighted geometric/averaging operators and their application in multicriteria decision‐making problems

Z Ma, Z Xu - International Journal of Intelligent Systems, 2016 - Wiley Online Library
Pythagorean fuzzy sets (PFSs), originally proposed by Yager, are a new tool to deal with
vagueness with the square sum of the membership degree and the nonmembership degree …

Generalized cubic Pythagorean fuzzy aggregation operators and their application to multi-attribute decision-making problems

F Amin, M Rahim, A Ali, E Ameer - International Journal of Computational …, 2022 - Springer
Cubic Pythagorean fuzzy (CPF) set (CPFS) is a hybrid set that can hold much more
information and can be used to describe both an interval-valued Pythagorean fuzzy set …

Pythagorean fuzzy average aggregation operators based on generalized and group‐generalized parameter with application in MCDM problems

BP Joshi - International Journal of Intelligent Systems, 2019 - Wiley Online Library
The concept of intuitionistic fuzzy set (IFS) theory plays an important role in dealing with real‐
life issues under uncertain and imprecise environment. But it has certain limitations and …

Archimedean aggregation operators based on complex Pythagorean fuzzy sets using confidence levels and their application in decision making

P Liu, Z Ali, T Mahmood - International Journal of Fuzzy Systems, 2023 - Springer
The diagnosed complex Pythagorean fuzzy (CPF) set is a more valuable and dominant tool
than the Pythagorean and intuitionistic fuzzy sets to describe awkward and unreliable …

Development of harmonic aggregation operator with trapezoidal Pythagorean fuzzy numbers

S Aydin, C Kahraman, M Kabak - Soft Computing, 2020 - Springer
Pythagorean fuzzy sets are one of the extensions of ordinary fuzzy sets and allow a larger
domain to be utilized by decision makers with respect to other extensions. Pythagorean …