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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)
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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)
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
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
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https://www.mathnet.ru/eng/vyurv50 https://www.mathnet.ru/eng/vyurv/v3/i3/p97
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Abstract page: | 207 | Full-text PDF : | 113 | References: | 37 |
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