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Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory, 2018, Volume 154, Pages 43–48 (Mi into376)  
This article is cited in 3 scientific papers (total in 3 papers)

On a Method of Constructing Logical Neural Networks Based on Variable-Valued Logic Functions

D. P. Dimitrichenko, R. A. Zhilov

Institute of Applied Mathematics and Automation, Nalchik
Full-text PDF (2022 kB) Citations (3)
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Abstract: A method for constructing logical neural networks based on variable-valued logic functions is proposed. A theorem on the possibility of representing any logical function as a logical neural network is proved. The proof also contains an algorithm for constructing a logical neural network. The possibility of a generalization of the result obtained to the case of fuzzy logic is indicated.
Keywords: variable-valued predicate, data mining, variable-valued logical function, training sample, neural network approach, logical neural network, fuzzy logic.
Funding agency Grant number
Russian Foundation for Basic Research 15-01-03381_à
This work was supported by the Russian Foundation for Basic Research (project No. 15-01-03381-à).
English version:
Journal of Mathematical Sciences (New York), 2021, Volume 253, Issue 4, Pages 500–505
DOI: https://doi.org/10.1007/s10958-021-05246-0
Bibliographic databases:
Document Type: Article
UDC: 519.716
MSC: 68T27
Language: Russian
Citation: D. P. Dimitrichenko, R. A. Zhilov, “On a Method of Constructing Logical Neural Networks Based on Variable-Valued Logic Functions”, Proceedings of the International Conference “Actual Problems of Applied Mathematics and Physics,” Kabardino-Balkaria, Nalchik, May 17–21, 2017, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 154, VINITI, Moscow, 2018, 43–48; J. Math. Sci. (N. Y.), 253:4 (2021), 500–505
Citation in format AMSBIB
\Bibitem{DimZhi18}
\by D.~P.~Dimitrichenko, R.~A.~Zhilov
\paper On a Method of Constructing Logical Neural Networks Based on Variable-Valued Logic Functions
\inbook Proceedings of the International Conference “Actual Problems of Applied Mathematics and Physics,” Kabardino-Balkaria, Nalchik, May 17–21, 2017
\serial Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz.
\yr 2018
\vol 154
\pages 43--48
\publ VINITI
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/into376}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3904965}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2021
\vol 253
\issue 4
\pages 500--505
\crossref{https://doi.org/10.1007/s10958-021-05246-0}
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory
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