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JOURNALS // Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory // Archive

Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 2018 Volume 154, Pages 43–48 (Mi into376)

This article is cited 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

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.

UDC: 519.716

MSC: 68T27


 English version:
Journal of Mathematical Sciences (New York), 2021, 253:4, 500–505

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© Steklov Math. Inst. of RAS, 2024