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Generalized Picture Fuzzy Soft Sets and Their Application in Decision Support Systems [PDF]
In this paper, a generalized picture fuzzy soft set is proposed, which is an extension of the picture fuzzy soft sets. We investigate the basic properties of picture fuzzy soft sets and define an F-subset, M-subset, extended union, extended intersection,
Muhammad Attique Khan +2 more
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An Involutive Picture Fuzzy Negator on Picture Fuzzy Sets and Some De Morgan Triples
2015 Seventh International Conference on Knowledge and Systems Engineering (KSE), 2015A generalization of the Zadeh's fuzzy sets and Atanassov's intuitionistic fuzzy sets is the "Picture fuzzy set". This concept is effective in approaching problems relating to the information aggregation processes in decision making problems, for examples voting, financial forecasting, estimating risks in business, etc.
Bui Cong Cuong +2 more
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RETRACTED: Extension principles for picture fuzzy sets
Journal of Intelligent & Fuzzy Systems, 2023This article has been retracted. A retraction notice can be found at https://doi.org/10.3233/JIFS-219433.
Hasan, Mohammad Kamrul +3 more
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Correlation coefficients for picture fuzzy sets
Journal of Intelligent & Fuzzy Systems, 2015Picture fuzzy sets are extension of Atanassov's intuitionistic fuzzy sets. Picture fuzzy set based models may be adequate in situations when we face human opinions involving more answers of types: yes, abstain, no, refusal. It can be considered as a powerful tool represent an uncertain information in the process of cluster analysis.
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2020
In the present paper we consider intuitionistic fuzzy sets, interval valued intuitionistic fuzzy sets and picture fuzzy sets. We discuss the similarities and differences between them.
Peter Vassilev, Krassimir Atanassov
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In the present paper we consider intuitionistic fuzzy sets, interval valued intuitionistic fuzzy sets and picture fuzzy sets. We discuss the similarities and differences between them.
Peter Vassilev, Krassimir Atanassov
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2018 5th NAFOSTED Conference on Information and Computer Science (NICS), 2018
In 2013, B.C. Cuong and V. Kreinovich introduced the concept of picture fuzzy set [1], which is a directly generalization concept of the Zadeh’s fuzzy sets and Atanassov’s intuitionistic fuzzy sets. Picture Fuzzy Sets Theory and Picture Fuzzy Logic [5] was received many developments with applications in computational intelligent problems (see [5] and ...
Bui Cong Cuong, Pham Huy Thong
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In 2013, B.C. Cuong and V. Kreinovich introduced the concept of picture fuzzy set [1], which is a directly generalization concept of the Zadeh’s fuzzy sets and Atanassov’s intuitionistic fuzzy sets. Picture Fuzzy Sets Theory and Picture Fuzzy Logic [5] was received many developments with applications in computational intelligent problems (see [5] and ...
Bui Cong Cuong, Pham Huy Thong
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A novel similarity measure of picture fuzzy sets and its applications
Journal of Intelligent & Fuzzy Systems, 2023Picture fuzzy sets are a direct extension of fuzzy sets and intuitionistic fuzzy sets, recently developed as a mathematical tool for solving uncertainty-related problems. In this paper, a novel similarity measure and corresponding weighted similarity measure between two picture fuzzy sets are proposed after indicating some disadvantages of the current ...
Fathima Perveen, P. A. +3 more
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Online picture fuzzy clustering: A new approach for real-time fuzzy clustering on picture fuzzy sets
2018 International Conference on Advanced Technologies for Communications (ATC), 2018Online clustering plays an important roles in real-time clustering. In this paper, an innovative algorithm to online picture fuzzy clustering is proposed. Firstly, we calculate parameter for each element added for each steam for initialization. This step saves a lot time because of re-randomizing the initial of all data and calculating it through steps.
Pham Huy Thong, Le Hoang Son
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Advances in Nonlinear Variational Inequalities
This paper introduces the concept of the Fermatean Picture Fuzzy Set (FPFS). We define several operations on these set. Additionally, we establish the concepts of images and preimages within the context of FPFS. Finally, we extend our discussion to the Fermatean Picture fuzzy topological space and define the properties using the theorems.
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This paper introduces the concept of the Fermatean Picture Fuzzy Set (FPFS). We define several operations on these set. Additionally, we establish the concepts of images and preimages within the context of FPFS. Finally, we extend our discussion to the Fermatean Picture fuzzy topological space and define the properties using the theorems.
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Picture Fuzzy Set – Based Approach for Classification
Picture Fuzzy Sets offer a flexible representation for handling uncertainty in data. In this study, we employ a relative frequency – based Picture Fuzzy Set modeling strategy within a k-Nearest Neighbor framework and propose a Picture Fuzzy kNN classifier using the Dα operator.Şuara Onbaşıoğlu Altuhovs +2 more
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