A. Uskov, I. Kiselev, “Complex and matrix methods perform arithmetic operations on fuzzy numbers”, UBS, 40 (2012), 96

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Upravlenie Bol'shimi Sistemami, 2012, Issue 40, Pages 96–107 (Mi ubs635)

This article is cited in 2 scientific papers (total in 2 papers)

Mathematical Control Theory

Complex and matrix methods perform arithmetic operations on fuzzy numbers

A. Uskov, I. Kiselev

Russian University of Cooperation

Full-text PDF (641 kB) Citations (2)

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Abstract: We prove propositionswhich reduce arithmetic operations on fuzzy numbers of LR-type to arithmetic operations on complex numbers and matrices.This simplifiescalculation (in particular, in computer computations) and allows for the intuitive graphical representation on fuzzy numbers on the plane of complex numbers (in the form of vector diagrams and hodographs).

Keywords: arithmetic, complex numbers, matrices, fuzzy numbers.

Document Type: Article

UDC: 519.71

BBC: 32.817

Language: Russian

Citation: A. Uskov, I. Kiselev, “Complex and matrix methods perform arithmetic operations on fuzzy numbers”, UBS, 40 (2012), 96–107

Citation in format AMSBIB

\Bibitem{UskKis12}

\by A.~Uskov, I.~Kiselev

\paper Complex and matrix methods perform arithmetic operations on fuzzy numbers

\jour UBS

\yr 2012

\vol 40

\pages 96--107

\mathnet{http://mi.mathnet.ru/ubs635}

Linking options:

https://www.mathnet.ru/eng/ubs635

https://www.mathnet.ru/eng/ubs/v40/p96

This publication is cited in the following 2 articles:

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

Statistics & downloads:
Abstract page:	258
Full-text PDF :	112
References:	59
First page:	2

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