Vestnik Yuzhno-Ural'skogo Gosudarstvennogo Universiteta. Seriya "Vychislitelnaya Matematika i Informatika"
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Vestnik Yuzhno-Ural'skogo Gosudarstvennogo Universiteta. Seriya "Vychislitelnaya Matematika i Informatika", 2014, Volume 3, Issue 3, Pages 97–108 (Mi vyurv50)  

This article is cited in 1 scientific paper (total in 1 paper)

Computational Mathematics

Computer implementation of operations with fuzzy numbers

E. R. Gallyamov, V. I. Ukhobotov

Chelyabinsk State University (Chelyabinsk, Russian Federation)
Full-text PDF (572 kB) Citations (1)
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Abstract: In this paper the problem of representing normal fuzzy numbers in a form suitable for computer implementation is considered. In particular, the results of the investigation of fuzzy arith-metic using level sets of fuzzy numbers are given. Also in the paper the problems associated with necessity of receiving a resulting fuzzy number with the parameters satisfying the given constraints are analyzed. Within this research the software package for work with fuzzy numbers with L-R representation was realized. Implementation of the package gives an opportunity of increasing the capabilities and using in other scientific researches of similar subject.
Keywords: arithmetic of fuzzy numbers, fuzzy numbers, computer implementation.
Received: 07.07.2014
Document Type: Article
UDC: 519.816
Language: Russian
Citation: E. R. Gallyamov, V. I. Ukhobotov, “Computer implementation of operations with fuzzy numbers”, Vestn. YuUrGU. Ser. Vych. Matem. Inform., 3:3 (2014), 97–108
Citation in format AMSBIB
\Bibitem{GalUkh14}
\by E.~R.~Gallyamov, V.~I.~Ukhobotov
\paper Computer implementation of operations with fuzzy numbers
\jour Vestn. YuUrGU. Ser. Vych. Matem. Inform.
\yr 2014
\vol 3
\issue 3
\pages 97--108
\mathnet{http://mi.mathnet.ru/vyurv50}
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  • https://www.mathnet.ru/eng/vyurv/v3/i3/p97
  • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    Vestnik Yuzhno-Ural'skogo Gosudarstvennogo Universiteta. Seriya "Vychislitelnaya Matematika i Informatika"
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