On a Certain Learning Algorithm for Logical Neural Networks

In this paper, we propose an algorithm for constructing variable-valued logical functions in the case of adding new production rules. The algorithm proposed serves as the basis for the method of constructive learning for logical neural networks based on variable-valued predicates.

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Published inJournal of mathematical sciences (New York, N.Y.) Vol. 260; no. 2; pp. 157 - 162
Main Author Dimitrichenko, D. P.
Format Journal Article
LanguageEnglish
Published New York Springer US 01.01.2022
Springer
Springer Nature B.V
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ISSN1072-3374
1573-8795
1573-8795
DOI10.1007/s10958-022-05680-8

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Abstract In this paper, we propose an algorithm for constructing variable-valued logical functions in the case of adding new production rules. The algorithm proposed serves as the basis for the method of constructive learning for logical neural networks based on variable-valued predicates.
AbstractList In this paper, we propose an algorithm for constructing variable-valued logical functions in the case of adding new production rules. The algorithm proposed serves as the basis for the method of constructive learning for logical neural networks based on variable-valued predicates.
In this paper, we propose an algorithm for constructing variable-valued logical functions in the case of adding new production rules. The algorithm proposed serves as the basis for the method of constructive learning for logical neural networks based on variable-valued predicates. Keywords and phrases: variable-valued predicate, variable-valued logical function, learning sample, production rule, logical neural network, constructive learning algorithm. AMS Subject Classification: 68T27
Audience Academic
Author Dimitrichenko, D. P.
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Issue 2
Keywords variable-valued logical function
production rule
68T27
constructive learning algorithm
variable-valued predicate
learning sample
logical neural network
Language English
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References ShibzukhovZMConstructive Learning Methods for Neural Networks [in Russian]2006MoscowNauka
DimitrichenkoDPApplications of veriable-valued logical functions and neural networks in decision-making systemsVestn. KRAUNC. Fiz.-Mat. Nauki20164-1169310036056381413.68129
L. A. Lyutikova, Modeling and Minimizing Knowledge Bases in Terms of Multivalued Predicate Logic [in Russian], Nalchik (2006).
BarskyABLogical Neural Networks [in Russian]2007MoscowINTUIT
DimitrichenkoDPApplications of neural networks for improving the efficiency of variable-valued logical functionsVestn. Irkutsk. Tekhn. Univ.2015101051216
S. Haykin, Neural Networks. A Comprehensive Foundation, Prentice Hall, Upper Saddle River, New Jersey (1999).
ZM Shibzukhov (5680_CR6) 2006
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– reference: ShibzukhovZMConstructive Learning Methods for Neural Networks [in Russian]2006MoscowNauka
– reference: S. Haykin, Neural Networks. A Comprehensive Foundation, Prentice Hall, Upper Saddle River, New Jersey (1999).
– reference: L. A. Lyutikova, Modeling and Minimizing Knowledge Bases in Terms of Multivalued Predicate Logic [in Russian], Nalchik (2006).
– reference: DimitrichenkoDPApplications of veriable-valued logical functions and neural networks in decision-making systemsVestn. KRAUNC. Fiz.-Mat. Nauki20164-1169310036056381413.68129
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Data mining
Machine learning
Mathematics
Mathematics and Statistics
Neural networks
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Title On a Certain Learning Algorithm for Logical Neural Networks
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