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The Method of Construction of Logical Neural Networks on the Basis of Variable-Valued Logical Functions

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In this paper, we suggest a method of constructing logical neural networks on the basis of variable-valued logical functions. We prove the theorem on a possibility of representation of any… Click to show full abstract

In this paper, we suggest a method of constructing logical neural networks on the basis of variable-valued logical functions. We prove the theorem on a possibility of representation of any logical function as a logical neural network. The proof given in the paper contains an algorithm of the construction of the logical neural network. We point out the possibility of the generalization of the result obtained to the case of fuzzy logic.

Keywords: variable valued; networks basis; neural networks; valued logical; basis variable; logical neural

Journal Title: Journal of Mathematical Sciences
Year Published: 2021

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