Geodesic
On a Method of Constructing Logical Neural Networks Based on Variable-Valued Logic Functions
Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Proceedings of the International Conference “Actual Problems of Applied Mathematics and Physics,” Kabardino-Balkaria, Nalchik, May 17–21, 2017, Tome 154 (2018), pp. 43-48

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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. 
@article{INTO_2018_154_a4,
     author = {D. P. Dimitrichenko and R. A. Zhilov},
     title = {On a {Method} of {Constructing} {Logical} {Neural} {Networks} {Based} on {Variable-Valued} {Logic} {Functions}},
     journal = {Itogi nauki i tehniki. Sovremenna\^a matematika i e\"e prilo\v{z}eni\^a. Temati\v{c}eskie obzory},
     pages = {43--48},
     publisher = {mathdoc},
     volume = {154},
     year = {2018},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/INTO_2018_154_a4/}
}
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D. P. Dimitrichenko; R. A. Zhilov. On a Method of Constructing Logical Neural Networks Based on Variable-Valued Logic Functions. Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Proceedings of the International Conference “Actual Problems of Applied Mathematics and Physics,” Kabardino-Balkaria, Nalchik, May 17–21, 2017, Tome 154 (2018), pp. 43-48. http://geodesic.mathdoc.fr/item/INTO_2018_154_a4/