Vestnik Yuzhno-Ural'skogo Gosudarstvennogo Universiteta. Seriya "Matematika. Mekhanika. Fizika"
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Vestnik Yuzhno-Ural'skogo Gosudarstvennogo Universiteta. Seriya "Matematika. Mekhanika. Fizika", 2024, Volume 16, Issue 4, Pages 75–84
DOI: https://doi.org/10.14529/mmph240409 (Mi vyurm618) 		 
Mathematics

Mathematical models for performing unified arithmetic operations with fuzzy numbers in the formalization of expert knowledge

A. V. Spesivtsev, B. V. Sokolov

Saint Petersburg Federal Research Center of the Russian Academy of Sciences, Saint Petersburg, Russian Federation
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DOI: https://doi.org/10.14529/mmph240409
Abstract: The paper considers fuzzy representation and manipulation of explicit and implicit expert knowledge. It proposes to use fuzzy numbers that allow describing uncertainty factors. It also presents a new form of specifying symmetrized forms of representation of fuzzy numbers, as well as extended and additional arithmetic operations on them which preserve the original level of fuzzy knowledge of experts and simplify the process of their formalization in solving applied problems.
Keywords: fuzzy numbers, extended and additional arithmetic operations, simulation modeling, accuracy, reliability, adequacy of the model, complex technical system.
Funding agency Grant number
Russian Science Foundation 24-19-00823
Received: 02.08.2024
Document Type: Article
UDC: 004.94
Language: Russian
Citation: A. V. Spesivtsev, B. V. Sokolov, “Mathematical models for performing unified arithmetic operations with fuzzy numbers in the formalization of expert knowledge”, Vestn. Yuzhno-Ural. Gos. Un-ta. Ser. Matem. Mekh. Fiz., 16:4 (2024), 75–84
Citation in format AMSBIB
\Bibitem{SpeSok24}
\by A.~V.~Spesivtsev, B.~V.~Sokolov
\paper Mathematical models for performing unified arithmetic operations with fuzzy numbers in the formalization of expert knowledge
\jour Vestn. Yuzhno-Ural. Gos. Un-ta. Ser. Matem. Mekh. Fiz.
\yr 2024
\vol 16
\issue 4
\pages 75--84
\mathnet{http://mi.mathnet.ru/vyurm618}
\crossref{https://doi.org/10.14529/mmph240409}
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