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

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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.
Keywords
symmetric matrix, system of linear fuzzy equations, fuzzy number, parametric function

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Citation

Please use this url to cite or link to this publication:

Chicago
Vroman, Annelies, Glad Deschrijver, and Etienne Kerre. 2008. “Using Parametric Functions to Solve Systems of Linear Fuzzy Equations with a Symmetric Matrix.” International Journal of Computational Intelligence Systems 1 (3): 248–261.
APA
Vroman, Annelies, Deschrijver, G., & Kerre, E. (2008). Using parametric functions to solve systems of linear fuzzy equations with a symmetric matrix. INTERNATIONAL JOURNAL OF COMPUTATIONAL INTELLIGENCE SYSTEMS, 1(3), 248–261. Presented at the 2007 International conference on Intelligent Systems and Knowledge Engineering.
Vancouver
1.
Vroman A, Deschrijver G, Kerre E. Using parametric functions to solve systems of linear fuzzy equations with a symmetric matrix. INTERNATIONAL JOURNAL OF COMPUTATIONAL INTELLIGENCE SYSTEMS. 2008;1(3):248–61.
MLA
Vroman, Annelies, Glad Deschrijver, and Etienne Kerre. “Using Parametric Functions to Solve Systems of Linear Fuzzy Equations with a Symmetric Matrix.” INTERNATIONAL JOURNAL OF COMPUTATIONAL INTELLIGENCE SYSTEMS 1.3 (2008): 248–261. Print.
@article{623988,
  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.},
  author       = {Vroman, Annelies and Deschrijver, Glad and Kerre, Etienne},
  issn         = {1875-6883},
  journal      = {INTERNATIONAL JOURNAL OF COMPUTATIONAL INTELLIGENCE SYSTEMS},
  language     = {eng},
  location     = {Chengdu, PR China},
  number       = {3},
  pages        = {248--261},
  title        = {Using parametric functions to solve systems of linear fuzzy equations with a symmetric matrix},
  url          = {http://dx.doi.org/10.2991/ijcis.2008.1.3.5},
  volume       = {1},
  year         = {2008},
}

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