Issue:Intuitionistic fuzzy neural network with filtering functions. An index matrix interpretation

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Title of paper: Intuitionistic fuzzy neural network with filtering functions. An index matrix interpretation Author(s): Sotir Sotirov "Prof. Dr. Assen Zlatarov" University, 1 "Prof. Yakimov" Blvd., Burgas-8010, Bulgaria ssotirov@btu.bg Maciej Krawczak 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 Maciej.Krawczak@ibspan.waw.pl Diana Petkova Department of BioInformatics and Mathematical Modelling, Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences, 105 "Acad. Georgi Bonchev" Str., Sofia-1113, Bulgaria diana@bio21.bas.bg Krassimir Atanassov 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 krat@bas.bg Presented at: 26th International Conference on Intuitionistic Fuzzy Sets, Sofia, 26—27 June 2023 Published in: Notes on Intuitionistic Fuzzy Sets, Volume 29 (2023), Number 2, pages 231–238 DOI: https://doi.org/10.7546/nifs.2023.29.2.231-238 Download:  PDF (225  Kb, File info) Abstract: 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. Keywords: Intuitionistic fuzzy neural networks, Artificial neural networks, Multilayer neural networks, Intuitionistic fuzzy index matrices, Index matrices. AMS Classification: 92B20, 03E72, 15B15. References: Atanassov, K. (1987). Generalized index matrices. Comptes rendus de l’Academie Bulgare des Sciences, 40(11), 15–18. Atanassov, K. (2010). On index matrices, Part 2: Intuitionistic fuzzy case. Proceedings of the Jangjeon Mathematical Society, 13(2), 121–126. Atanassov, K. (2012). On Intuitionistic Fuzzy Sets Theory. Berlin: Springer. Atanassov, K. (2014). Index Matrices: Towards an Augmented Matrix Calculus. Cham, Springer. Atanassov, K., Sotirov, S. (2013). Index matrix interpretation of the Multilayer perceptron. Proc. of IEEE International Symposium on Innovations in Intelligent Systems and Applications (INISTA), 19-21 June 2013, Albena, INSPEC Accession Number: 13710966. Bari, A., & Robbins, T. W. (2013). Inhibition and impulsivity: Behavioral and neural basis of response control. Progress in Neurobiology, 108, 44–79. Cybenko, G. (1989). Approximation by superpositions of a sigmoidal function. Mathematics of Control, Signals and Systems, 2, 303—314. Haykin, S. (1994). Neural Networks: A Comprehensive Foundation. New York: Macmillan. Kandel, E. R., Schwartz, J. H., & Jesseli, T. M. (2000). Principles of Neural Sciences. New York: Mc Graw-Hill. Ostergaard, L., Jorgensen, M. B., & Knudsen, G. M. (2018). Low on energy. An energy supply-demand perspective on stress and depression. Neuroscience and Biobehavioral Reviews, 94, 248–270. Sebastian, A., Jung, P., Krause-Utz, A., Lieb, K., Schmale, C., & Tuscher, O. (2014). Frontal dysfunctions of impulse control – A systematic review in borderline personality disorder and attention-deficit/hyperactivity disorder. Frontiers in Human Neuroscience, 8, Article ID 698. Citations: The list of publications, citing this article may be empty or incomplete. If you can provide relevant data, please, write on the talk page.