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JOURNALS // Vestnik Yuzhno-Ural'skogo Gosudarstvennogo Universiteta. Seriya "Vychislitelnaya Matematika i Informatika" // Archive

Vestn. YuUrGU. Ser. Vych. Matem. Inform., 2014 Volume 3, Issue 3, Pages 97–108 (Mi vyurv50)

This article is cited 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.

UDC: 519.816

Received: 07.07.2014



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