Numerical solution of fuzzy linear equations in engineering analysis

S. S. Rao, L. Chen

Research output: Contribution to journalArticle

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 languageEnglish (US)
Pages (from-to)391-408
Number of pages18
JournalInternational Journal for Numerical Methods in Engineering
Volume43
Issue number3
DOIs
StatePublished - Oct 15 1998
Externally publishedYes

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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