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Pythagorean Picture Fuzzy Sets, Part 1- basic notions
Journal of Computer Science and Cybernetics, 2019 Picture fuzzy set (2013) is a generalization of the Zadeh‟ fuzzy set (1965) and the Antanassov‟intuitionistic fuzzy set. The new concept could be useful for many computational intelligentproblems. Basic operators of the picture fuzzy logic were studied by Cuong, Ngan [10,11 ].Newconcept –Pythagorean picture fuzzy set ( PPFS) is a combination of Picture
Bùi Công Cường
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Advances in Fuzzy Systems, Volume 2026, Issue 1, 2026.This paper addresses critical limitations in the application of intuitionistic fuzzy sets (IFSs) for complex decision‐making problems under uncertainty. While IFSs offer a robust framework for modeling imprecision through membership, nonmembership, and hesitancy degrees, existing methodologies often simplify the multiplication of intuitionistic fuzzy ...
Hanh-Thao Le +2 more
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Group Generalized Pythagorean Fuzzy Aggregation Operators and Their Application in Decision Making
IEEE Access, 2020 Fuzzy information is generally represented by fuzzy set (FS). Pythagorean fuzzy set (PFS), as a new extension of FS, can represent fuzzy information more effectively.
Jinfu Feng, Qiang Zhang, Junhua Hu
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Journal of Mathematics, Volume 2026, Issue 1, 2026.This paper advances the theory of bipolar Pythagorean neutrosophic fuzzy (BPNF) sets by establishing their formalization within a topological and metric framework, while also demonstrating their role in decision‐making under uncertainty. The main contributions are as follows: (1) definition and characterization of BPNF topological spaces, providing a ...
Akiladevi Natarajan +5 more
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Consistency Analysis and Priority Weights for Pythagorean Fuzzy Preference Relations
IEEE Access, 2020 The Pythagorean fuzzy set (PFS), introduced by Yager, is a generalization of the intuitionistic fuzzy set. The PFS is of great significance for the decision-making problem because it promotes the domain of intuitionistic fuzzy set.
Meiqian Chen, Wenhao Lin, Ligang Zhou
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, 2020 In this research article, we aims to present a novel MCDM method based on the hesitant Pythagorean fuzzy set (HPFS). With the greater extension of solution space of HPFS we can able to solve MCDM problems effectively. In the proposed method we extend the
S. Geetha, S. Narayanamoorthy
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Energy Science &Engineering, Volume 13, Issue 11, Page 5311-5337, November 2025.Evaluating power system performance based on a q‐fractional hesitant fuzzy model. ABSTRACT This study introduces novel q‐fractional hesitant fuzzy multicriteria decision‐making (MCDM) approaches aimed at optimizing power system performance under uncertain and imprecise conditions. We extend hesitant fuzzy set theory by formulating q‐fractional hesitant
Zanyar A. Ameen +3 more
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Applied AI Letters, Volume 6, Issue 3, October 2025.This study proposes an AI‐enhanced decision‐making framework that integrates sentiment analysis of customer reviews with q‐rung orthopair fuzzy MCDM to evaluate retailer performance. By analyzing 8,000 reviews from major U.S. retailers, the model bridges unstructured feedback and structured evaluation, offering actionable insights into service ...
Adem Pinar
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HeliyonThis study is about Pythagorean fuzzy cellular topological dynamical system which is generated using Pythagorean fuzzy cellular space. A dynamical system receives input for a certain function and performs an iterative procedure for that same function.
Gnanachristy N B, Revathi G K
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Discrete Dynamics in Nature and Society, 2015 As a new extension of Pythagorean fuzzy set (also called Atanassov’s intuitionistic fuzzy set of second type), interval-valued Pythagorean fuzzy set which is parallel to Atanassov’s interval-valued intuitionistic fuzzy set has recently been developed to ...
Wei Liang, Xiaolu Zhang, Manfeng Liu
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