Numerical solution of fuzzy linear equations in engineering analysis

S. S. Rao; L. Chen

doi:10.1002/(SICI)1097-0207(19981015)43:3<391::AID-NME417>3.0.CO;2-J

Numerical solution of fuzzy linear equations in engineering analysis

S. S. Rao, L. Chen

Research output: Contribution to journal › Article

53 Scopus citations

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 (US)
Pages (from-to)	391-408
Number of pages	18
Journal	International Journal for Numerical Methods in Engineering
Volume	43
Issue number	3
DOIs	https://doi.org/10.1002/(SICI)1097-0207(19981015)43:3<391::AID-NME417>3.0.CO;2-J
State	Published - Oct 15 1998
Externally published	Yes

Keywords

Fuzzy analysis
Fuzzy systems
Linear equations
Numerical solution
Search-based algorithms

ASJC Scopus subject areas

Engineering (miscellaneous)
Computational Mechanics
Applied Mathematics

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Rao, S. S., & Chen, L. (1998). Numerical solution of fuzzy linear equations in engineering analysis. International Journal for Numerical Methods in Engineering, 43(3), 391-408. https://doi.org/10.1002/(SICI)1097-0207(19981015)43:3<391::AID-NME417>3.0.CO;2-J

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