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/).
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 -