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Picture fuzzy sets and 3-fuzzy sets
2018 IEEE International Conference on Fuzzy Systems (FUZZ-IEEE), 2018Picture fuzzy sets can be seen as particular "neutrosophic sets", without forming a sublattice. On the other hand, they can be isomorphically related to 3-fuzzy sets, and then they form a bounded lattice. We discuss some possible algebraic looks on picture fuzzy sets and related aggregation functions, including several examples.
Erich Peter Klement +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Journal of Intelligent & Fuzzy Systems, 2023This article has been retracted.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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Some Fuzzy Logic Operators for Picture Fuzzy Sets
2015 Seventh International Conference on Knowledge and Systems Engineering (KSE), 2015A generalization of the Zadeh's fuzzy sets and Antanassov's intuitionistic fuzzy - "Picture fuzzy set" have defined in 2013. This concept is particularly effective in decision making problems, such as voting, solutions choice, financial forecasting, estimating risks in business, etc. This promotes vigorously the construction of the picture fuzzy theory:
Bui Cong Cuong, Van Hai Pham
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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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Picture inference system: a new fuzzy inference system on picture fuzzy set
Applied Intelligence, 2016In this paper, we propose a novel fuzzy inference system on picture fuzzy set called picture inference system (PIS) to enhance inference performance of the traditional fuzzy inference system. In PIS, the positive, neutral and negative degrees of the picture fuzzy set are computed using the membership graph that is the combination of three Gaussian ...
Le Hoang Son +2 more
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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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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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Interval-valued picture fuzzy sets in UP-algebras
Journal of Interdisciplinary Mathematics, 2023We used the notion of interval-valued picture fuzzy sets (IvPFSs) in UP-algebras to introduce the eight new notions of IvPFSs. We also discuss about how the eight new notions of IvPFSs in UP-algebras relate to each other. This idea is extended to level subsets of IvPFSs in UP-algebras.
Nattacha Lapo +4 more
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DPFCM: A novel distributed picture fuzzy clustering method on picture fuzzy sets
Expert Systems with Applications, 2015Abstract Fuzzy clustering is considered as an important tool in pattern recognition and knowledge discovery from a database; thus has been being applied broadly to various practical problems. Recent advances in data organization and processing such as the cloud computing technology which are suitable for the management, privacy and storing big ...
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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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