Artificial Intelligence and Decision Making
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Artificial Intelligence and Decision Making, 2012, Issue 3, Pages 26–38 (Mi iipr437)  

Soft computing

The algebra of Fourier-dual operations: Logic with exception

A. V. Pavlov

St. Petersburg National Research University of Information Technologies, Mechanics and Optics
Abstract: An approach for fuzzy logic with exception to be implemented by neural network with interconnections, realized by Fourier-holography scheme, is proposed. Exception is retrieved from associative memory by the conclusion, formed by “Generalized Modus Ponens” rule, and, consequently modifies the initial conclusion. Computer simulation results, based on experimental data, are presented.
Keywords: non-monotonic reasoning, fuzzy logic, logic with exception, Fourier-duality, neural networks, holography.
English version:
Scientific and Technical Information Processing, 2013, Volume 40, Issue 6, Pages 375–385
DOI: https://doi.org/10.3103/S0147688213060075
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: A. V. Pavlov, “The algebra of Fourier-dual operations: Logic with exception”, Artificial Intelligence and Decision Making, 2012, no. 3, 26–38; Scientific and Technical Information Processing, 40:6 (2013), 375–385
Citation in format AMSBIB
\Bibitem{Pav12}
\by A.~V.~Pavlov
\paper The algebra of Fourier-dual operations: Logic with exception
\jour Artificial Intelligence and Decision Making
\yr 2012
\issue 3
\pages 26--38
\mathnet{http://mi.mathnet.ru/iipr437}
\elib{https://elibrary.ru/item.asp?id=18950503}
\transl
\jour Scientific and Technical Information Processing
\yr 2013
\vol 40
\issue 6
\pages 375--385
\crossref{https://doi.org/10.3103/S0147688213060075}
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