Geodesic
Computer implementation of operations with fuzzy numbers
Vestnik Ûžno-Uralʹskogo gosudarstvennogo universiteta. Seriâ Vyčislitelʹnaâ matematika i informatika, Tome 3 (2014) no. 3, pp. 97-108

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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. 
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     title = {Computer implementation of operations with fuzzy numbers},
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     publisher = {mathdoc},
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     url = {http://geodesic.mathdoc.fr/item/VYURV_2014_3_3_a5/}
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E. R. Gallyamov; V. I. Ukhobotov. Computer implementation of operations with fuzzy numbers. Vestnik Ûžno-Uralʹskogo gosudarstvennogo universiteta. Seriâ Vyčislitelʹnaâ matematika i informatika, Tome 3 (2014) no. 3, pp. 97-108. http://geodesic.mathdoc.fr/item/VYURV_2014_3_3_a5/