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JOURNALS // Upravlenie Bol'shimi Sistemami // Archive

UBS, 2012 Issue 40, Pages 96–107 (Mi ubs635)

This article is cited in 2 papers

Mathematical Control Theory

Complex and matrix methods perform arithmetic operations on fuzzy numbers

A. Uskov, I. Kiselev

Russian University of Cooperation

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.

UDC: 519.71
BBK: 32.817



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