International Journal of Computational Intelligence Systems

Volume 1, Issue 3, August 2008, Pages 248 - 261

Using Parametric Functions to Solve Systems of Linear Fuzzy Equations with a Symmetric Matrix

Authors
Annelies Vroman, Glad Deschrijver, Etienne E. Kerre
Corresponding Author
Annelies Vroman
Available Online 25 August 2008.
DOI
https://doi.org/10.2991/ijcis.2008.1.3.6How to use a DOI?
Keywords
fuzzy number, system of linear fuzzy equations, symmetric matrix, parametric function
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.
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Journal
International Journal of Computational Intelligence Systems
Volume-Issue
1 - 3
Pages
248 - 261
Publication Date
2008/08
ISBN
1875-6883
ISSN
1875-6883
DOI
https://doi.org/10.2991/ijcis.2008.1.3.6How to use a DOI?
Open Access
This is an open access article distributed under the CC BY-NC license.

Cite this article

TY  - JOUR
AU  - Annelies Vroman
AU  - Glad Deschrijver
AU  - Etienne E. Kerre
PY  - 2008
DA  - 2008/08
TI  - Using Parametric Functions to Solve Systems of Linear Fuzzy Equations with a Symmetric Matrix
JO  - International Journal of Computational Intelligence Systems
SP  - 248
EP  - 261
VL  - 1
IS  - 3
SN  - 1875-6883
UR  - https://doi.org/10.2991/ijcis.2008.1.3.6
DO  - https://doi.org/10.2991/ijcis.2008.1.3.6
ID  - Vroman2008
ER  -