Proceedings of the 2007 International Conference on Intelligent Systems and Knowledge Engineering (ISKE 2007)

Using parametric functions to solve systems of linear fuzzy equations with a symmetric matrix

Authors
Annelies Vroman1, Glad Deschrijver, Etienne Kerre
1Dpt of Applied Mathematics & Comp. Sc., Ghent University
Corresponding Author
Annelies Vroman
Available Online October 2007.
DOI
10.2991/iske.2007.17How to use a DOI?
Keywords
systems of linear fuzzy equations, symmetry, parametric functions
Abstract

A method to solve linear fuzzy equations with a symmetric matrix is proposed. Ignoring the symmetry leads to an overestimation of the solution. Our method to find the solution of a system of linear fuzzy equations takes the symmetry of the matrix into account and is based on parametric functions. It is a practical algorithm using parametric functions in which the variables are given by elements of the support of the fuzzy coefficients of the system.

Copyright
© 2007, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

Download article (PDF)

Volume Title
Proceedings of the 2007 International Conference on Intelligent Systems and Knowledge Engineering (ISKE 2007)
Series
Advances in Intelligent Systems Research
Publication Date
October 2007
ISBN
10.2991/iske.2007.17
ISSN
1951-6851
DOI
10.2991/iske.2007.17How to use a DOI?
Copyright
© 2007, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

Cite this article

TY  - CONF
AU  - Annelies Vroman
AU  - Glad Deschrijver
AU  - Etienne Kerre
PY  - 2007/10
DA  - 2007/10
TI  - Using parametric functions to solve systems of linear fuzzy equations with a symmetric matrix
BT  - Proceedings of the 2007 International Conference on Intelligent Systems and Knowledge Engineering (ISKE 2007)
PB  - Atlantis Press
SP  - 88
EP  - 94
SN  - 1951-6851
UR  - https://doi.org/10.2991/iske.2007.17
DO  - 10.2991/iske.2007.17
ID  - Vroman2007/10
ER  -