Systems of fuzzy equations in structural mechanics
| Autor: | Iwona Skalna, M.V. Rama Rao, Andrzej Pownuk |
|---|---|
| Rok vydání: | 2008 |
| Předmět: |
Interval equations
Applied Mathematics Numerical analysis Linear system Uncertainty Fuzzy control system Fuzzy numbers Fuzzy equations System of linear equations Fuzzy logic Finite element method Computational Mathematics Nonlinear system Calculus Interval analysis Fuzzy number Applied mathematics Sensitivity analysis Mathematics |
| Zdroj: | Journal of Computational and Applied Mathematics. 218:149-156 |
| ISSN: | 0377-0427 |
| DOI: | 10.1016/j.cam.2007.04.039 |
| Popis: | Systems of linear and nonlinear equations with fuzzy parameters are relevant to many practical problems arising in structure mechanics, electrical engineering, finance, economics and physics. In this paper three methods for solving such equations are discussed: method for outer interval solution of systems of linear equations depending linearly on interval parameters, fuzzy finite element method proposed by Rama Rao and sensitivity analysis method. The performance and advantages of presented methods are described with illustrative examples. Extended version of the present paper can be downloaded from the web page of the UTEP [I. Skalna, M.V. Rama Rao, A. Pownuk, Systems of fuzzy equations in structural mechanics, The University of Texas at El Paso, Department of Mathematical Sciences Research Reports Series, 〈http://www.math.utep.edu/preprints/2007/2007-01.pdf〉, Texas Research Report No. 2007-01, 2007]. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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