Numerical solution of fuzzy linear equations in engineering analysis

S. S. Rao, Chen Li

Research output: Contribution to journalArticle

17 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 with those given by the combinatorial approach.

Original languageEnglish (US)
Pages (from-to)829-846
Number of pages18
JournalInternational Journal for Numerical Methods in Engineering
Volume42
Issue number5
DOIs
StatePublished - Jul 15 1998
Externally publishedYes

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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

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