| Title of paper:
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Intuitionistic fuzzy neural network with filtering functions. An index matrix interpretation
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| Author(s):
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| Sotir Sotirov
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| "Prof. Dr. Assen Zlatarov" University, 1 "Prof. Yakimov" Blvd., Burgas-8010, Bulgaria
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| ssotirov@btu.bg
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| Maciej Krawczak
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Systems Research Institute, Polish Academy of Sciences, ul. Newelska 6, 01-447 Warsaw, Poland
Wyzsza Szkola Informatyki Stosowanej i Zarzadzania, ul. Newelska 6, 01-447 Warsaw, Poland
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| Maciej.Krawczak@ibspan.waw.pl
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| Diana Petkova
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| Department of BioInformatics and Mathematical Modelling, Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences, 105 "Acad. Georgi Bonchev" Str., Sofia-1113, Bulgaria
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| diana@bio21.bas.bg
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| Krassimir Atanassov
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Department of BioInformatics and Mathematical Modelling, Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences, 105 "Acad. Georgi Bonchev" Str., Sofia-1113, Bulgaria
"Prof. Dr. Assen Zlatarov" University, 1 "Prof. Yakimov" Blvd., Burgas-8010, Bulgaria
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| krat@bas.bg
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| Presented at:
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26th International Conference on Intuitionistic Fuzzy Sets, Sofia, 26—27 June 2023
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| Published in:
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Notes on Intuitionistic Fuzzy Sets, Volume 29 (2023), Number 2, pages 231–238
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| DOI:
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https://doi.org/10.7546/nifs.2023.29.2.231-238
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| Download:
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 PDF (225 Kb, Info)
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| Abstract:
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Biological neurons and their connection in neural networks have motivated the creation of the architecture of artificial neural networks. In the previously considered cases, the description of the neural networks and their connections are described with standard matrices where the values for the weighting coefficients and biases are placed. By recalculating them, the artificial neural network is trained. The paper presents an approach for describing multilayer neural networks with Intuitionistic Fuzzy Index Matrix (IFIM). The neural network input was described in IFIM form, then the weight coefficients of the connections between the nodes of the input vector, and then activation functions of the neurons. The use of IFIM extends the understanding and description as well as the structure and use of multilayer neural networks.
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| Keywords:
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Intuitionistic fuzzy neural networks, Artificial neural networks, Multilayer neural networks, Intuitionistic fuzzy index matrices, Index matrices.
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| AMS Classification:
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92B20, 03E72, 15B15.
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| References:
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