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/).

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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
978-90-78677-04-8
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  -