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 › peer-review

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

Access to Document

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

Fingerprint Dive into the research topics of 'Numerical solution of fuzzy linear equations in engineering analysis'. Together they form a unique fingerprint.

Cite this

@article{0b9e5e67e2854e3f8fcb440b078e8322,

title = "Numerical solution of fuzzy linear equations in engineering analysis",

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.",

keywords = "Fuzzy analysis, Fuzzy systems, Linear equations, Numerical solution, Search-based algorithms",

author = "Rao, {S. S.} and L. Chen",

year = "1998",

month = oct,

day = "15",

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

language = "English (US)",

volume = "43",

pages = "391--408",

journal = "International Journal for Numerical Methods in Engineering",

issn = "0029-5981",

publisher = "John Wiley and Sons Ltd",

number = "3",

}

TY - JOUR

T1 - Numerical solution of fuzzy linear equations in engineering analysis

AU - Rao, S. 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

U2 - 10.1002/(SICI)1097-0207(19981015)43:3<391::AID-NME417>3.0.CO;2-J

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

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 -

Numerical solution of fuzzy linear equations in engineering analysis

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Cite this