Multiple attribute group decision-making based on novel probabilistic ordered weighted cosine similarity operators with Pythagorean fuzzy information

R Verma, A Mittal - Granular Computing, 2023 - Springer
The cosine similarity measure has been widely studied under different information
environments. Generally, average cosine similarity values are used to find the degree of …

Similarity measures between type-2 fuzzy sets

WL Hung, MS Yang - International Journal of Uncertainty …, 2004 - World Scientific
In this paper, we give similarity measures between type-2 fuzzy sets and provide the axiom
definition and properties of these measures. For practical use, we show how to compute the …

Maclaurin symmetric mean operators and their applications in the environment of complex q-rung orthopair fuzzy sets

Z Ali, T Mahmood - Computational and Applied Mathematics, 2020 - Springer
The Maclaurin symmetric mean (MSM) and dual Maclaurin symmetric mean (DMSM)
operators are two aggregation operators to aggregate the q-rung orthopair fuzzy numbers (q …

Distance and similarity measures for Pythagorean fuzzy sets

PA Ejegwa - Granular Computing, 2020 - Springer
The concept of Pythagorean fuzzy sets is very much applicable in decision science because
of its unique nature of indeterminacy. The main feature of Pythagorean fuzzy sets is that it is …

A new multi-criteria group decision-making approach based on q-rung orthopair fuzzy interaction Hamy mean operators

Y Xing, R Zhang, J Wang, K Bai, J Xue - Neural Computing and …, 2020 - Springer
The recently proposed q-rung orthopair fuzzy set (q-ROFS) is a powerful and effective tool to
describe uncertainty and vagueness, and Hamy mean (HM) has a significant advantage of …

Spherical fuzzy sets-based cosine similarity and information measures for pattern recognition and medical diagnosis

T Mahmood, M Ilyas, Z Ali, A Gumaei - Ieee Access, 2021 - ieeexplore.ieee.org
Spherical fuzzy set (SFS) is a modified version of fuzzy set (FS) to cope with uncertainty and
complicated data in real-decision theory. In this article, some similarity measures, called …

[HTML][HTML] A new divergence measure of pythagorean fuzzy sets based on belief function and its application in medical diagnosis

Q Zhou, H Mo, Y Deng - Mathematics, 2020 - mdpi.com
As the extension of the fuzzy sets (FSs) theory, the intuitionistic fuzzy sets (IFSs) play an
important role in handling the uncertainty under the uncertain environments. The …

Some novel similarity and distance measures of pythagorean fuzzy sets and their applications

Z Li, M Lu - Journal of Intelligent & Fuzzy Systems, 2019 - content.iospress.com
In this paper, we extend the Hamming distance, the Hausdorff distance with Pythagorean
fuzzy sets (PFSs) to define the generalized Pythagorean fuzzy normalized Hamming …

[HTML][HTML] A robust q-rung orthopair fuzzy information aggregation using Einstein operations with application to sustainable energy planning decision management

M Riaz, W Sałabun, HM Athar Farid, N Ali, J Wątróbski - Energies, 2020 - mdpi.com
A q-rung orthopair fuzzy set (q-ROFS), an extension of the Pythagorean fuzzy set (PFS) and
intuitionistic fuzzy set (IFS), is very helpful in representing vague information that occurs in …

[HTML][HTML] Cosine similarity measures for intuitionistic fuzzy sets and their applications

J Ye - Mathematical and computer modelling, 2011 - Elsevier
In this work, considering the information carried by the membership degree and the non-
membership degree in Atanassov's intuitionistic fuzzy sets (IFSs) as a vector representation …