DECISION OF UNCLEAR SYSTEMS LINEAR EQUALIZATIONS OF ALGEBRA IN TENSOR BASE BY FACILITIES OF PMM MATLAb

Authors

  • Ю. М. Мінаєв National Aviation University
  • О. Ю. Філімонова National Aviation University
  • Ю. І. Мінаєва National Aviation University
  • Є. О. Гончарова National Aviation University

DOI:

https://doi.org/10.18372/2310-5461.4.5247

Keywords:

matrix, system of linear algebraic equations, tensor basis, rank, tensor, software MATLAB.

Abstract

The questions of deciding the fuzzy single-line algebraic equation systems by presentations of fuzzy parametersmodels (matrix of factors, right parts) by tensors 2 ranks are Considerered .Shown possibility of deciding a givenclass of problems at a rate of crisp block systems of single-line algebraic equations where factors matrixesand right parts present itself matrixes of tensors by dimensionality 3 x h 3. Example of deciding is bring.

References

Шарый С. П. Конечномерный интервальный

анализ / С. П. Шарый. — М. ; Н.-Сиб., 2007. — 700с.

Добронец Б. С. Интервальная математика:

учеб. пособие / Б. С. Добронец // Краснояр. гос. ун-т. — Красноярск, 2004. — 216 с.

Алефельд Г. Введение в интервальные вычисления / Г. Алефельд, Ю. Херцбергер. — М. :Мир,1987. — 360 с.

Bellman R. E. Decision-making in a fuzzy environment/ R. E. Bellman, L. A. Zadeh // Management Sci. 17, 1970. — P. 141—164.

Dubois D. Possibility Theory: An Approach to

Computerized Processing of Uncertainty / D. Dubois,

H. Prade // Plenum Press, New York, 1988.

Shaocheng T. Interval number and Fuzzy number linear programming, Fuzzy Sets and Systems 66 (1994), 301—306.

Минаев Ю. Н. Мягкие вычисления на основе тензорных моделей неопределенности. Ч. 1: тензор-переменная в системе нечетких множеств // Электронное моделирование / Ю. Н. Минаев, О.Ю. Фи-лимонова. — К.: ИПМЭ НАН Украины, 2006. — № 2. — С. 25—31.

Минаев Ю. Н. Мягкие вычисления на основе тензорных моделей неопределенности. Ч. 2: нечеткая математика в тензорном базисе // Электронное моделирование / Ю. Н. Минаев, О.Ю. Филимонова. — К.: ИПМЭ НАН Украины, 2007. — № 3. — С. 30—37.

Brannon R. M. Elementary and Intermediate Vector and Tensor Analysis presented in a framework generalizable to higher-order applications in material mod-eling // UNM REPORT, University of New Mexico, Albuquerque, 2002 . — 222 р.

Голуб Дж., Ван Лоун Ч. Матричные вычис-ления: пер. с англ. / Дж. Голуб, Лоун Ч. Ван. — М. : Мир, 1999. — 548 с.

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Published

2010-02-01

How to Cite

Мінаєв, Ю. М., Філімонова, О. Ю., Мінаєва, Ю. І., & Гончарова, Є. О. (2010). DECISION OF UNCLEAR SYSTEMS LINEAR EQUALIZATIONS OF ALGEBRA IN TENSOR BASE BY FACILITIES OF PMM MATLAb. Science-Based Technologies, 4(4), 68–76. https://doi.org/10.18372/2310-5461.4.5247

Issue

Vol. 4 No. 4 (2009)

Section

Information and Communication Systems and Networks

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