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

Author
Organization
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
symmetry, systems of linear fuzzy equations, parametric functions

Citation

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Chicago
Vroman, Annelies, Glad Deschrijver, and Etienne Kerre. 2007. “Using Parametric Functions to Solve Systems of Linear Fuzzy Equations with a Symmetric Matrix.” In Advances in Intelligent System Research, ed. Tianrui Li, Yang Xu, and Da Ruan, 1170–1170. Paris, France: Atlantis.
APA
Vroman, Annelies, Deschrijver, G., & Kerre, E. (2007). Using parametric functions to solve systems of linear fuzzy equations with a symmetric matrix. In Tianrui Li, Y. Xu, & D. Ruan (Eds.), Advances in Intelligent System Research (pp. 1170–1170). Presented at the 2007 International conference on Intelligent Systems and Knowledge Engineering (ISKE 2007), Paris, France: Atlantis.
Vancouver
1.
Vroman A, Deschrijver G, Kerre E. Using parametric functions to solve systems of linear fuzzy equations with a symmetric matrix. In: Li T, Xu Y, Ruan D, editors. Advances in Intelligent System Research. Paris, France: Atlantis; 2007. p. 1170–1170.
MLA
Vroman, Annelies, Glad Deschrijver, and Etienne Kerre. “Using Parametric Functions to Solve Systems of Linear Fuzzy Equations with a Symmetric Matrix.” Advances in Intelligent System Research. Ed. Tianrui Li, Yang Xu, & Da Ruan. Paris, France: Atlantis, 2007. 1170–1170. Print.
@inproceedings{623920,
  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.},
  articleno    = {1170},
  author       = {Vroman, Annelies and Deschrijver, Glad and Kerre, Etienne},
  booktitle    = {Advances in Intelligent System Research},
  editor       = {Li, Tianrui and Xu, Yang and Ruan, Da},
  isbn         = {9789078677048},
  language     = {eng},
  location     = {Chengdu, PR China},
  pages        = {1170:1170--1170:1170},
  publisher    = {Atlantis},
  title        = {Using parametric functions to solve systems of linear fuzzy equations with a symmetric matrix},
  year         = {2007},
}

Web of Science
Times cited: