Abstract
A computational methodology is presented for the solution of simultaneous linear equations that arise in the analysis of engineering systems involving fuzzy input parameters. In addition to a discussion on the existence of solution to the problem, the numerical solution to the fuzzy linear systems is defined and formalized. The framework of the proposed methodology consists of three major aspects involving (1) computerized selection of fuzziness, (2) implementation of fuzzy operations and (3) development and execution of a search-based algorithm. Two numerical examples are presented to illustrate the computational aspects of the proposed methodology. The present results are compared to those given by the combinatorial approach.
| Original language | English |
|---|---|
| Pages (from-to) | 391-408 |
| Number of pages | 18 |
| Journal | International Journal for Numerical Methods in Engineering |
| Volume | 43 |
| Issue number | 3 |
| State | Published - Oct 15 1998 |
| Externally published | Yes |
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Keywords
- Fuzzy analysis
- Fuzzy systems
- Linear equations
- Numerical solution
- Search-based algorithms
ASJC Scopus subject areas
- Engineering (miscellaneous)
- Computational Mechanics
- Applied Mathematics
Cite this
Numerical solution of fuzzy linear equations in engineering analysis. / Rao, Singiresu S; Chen, L.
In: International Journal for Numerical Methods in Engineering, Vol. 43, No. 3, 15.10.1998, p. 391-408.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Numerical solution of fuzzy linear equations in engineering analysis
AU - Rao, Singiresu S
AU - Chen, L.
PY - 1998/10/15
Y1 - 1998/10/15
N2 - A computational methodology is presented for the solution of simultaneous linear equations that arise in the analysis of engineering systems involving fuzzy input parameters. In addition to a discussion on the existence of solution to the problem, the numerical solution to the fuzzy linear systems is defined and formalized. The framework of the proposed methodology consists of three major aspects involving (1) computerized selection of fuzziness, (2) implementation of fuzzy operations and (3) development and execution of a search-based algorithm. Two numerical examples are presented to illustrate the computational aspects of the proposed methodology. The present results are compared to those given by the combinatorial approach.
AB - A computational methodology is presented for the solution of simultaneous linear equations that arise in the analysis of engineering systems involving fuzzy input parameters. In addition to a discussion on the existence of solution to the problem, the numerical solution to the fuzzy linear systems is defined and formalized. The framework of the proposed methodology consists of three major aspects involving (1) computerized selection of fuzziness, (2) implementation of fuzzy operations and (3) development and execution of a search-based algorithm. Two numerical examples are presented to illustrate the computational aspects of the proposed methodology. The present results are compared to those given by the combinatorial approach.
KW - Fuzzy analysis
KW - Fuzzy systems
KW - Linear equations
KW - Numerical solution
KW - Search-based algorithms
UR - http://www.scopus.com/inward/record.url?scp=0032188518&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=0032188518&partnerID=8YFLogxK
M3 - Article
AN - SCOPUS:0032188518
VL - 43
SP - 391
EP - 408
JO - International Journal for Numerical Methods in Engineering
JF - International Journal for Numerical Methods in Engineering
SN - 0029-5981
IS - 3
ER -