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Solving systems of linear fuzzy equations by parametric functions - An improved algorithm

(2007) Fuzzy Sets and Systems. 158(14). p.1515-1534
Author
Organization
Abstract
Buckley and Qu proposed a method to solve systems of linear fuzzy equations. Basically, in their method the solutions of all systems of linear crisp equations formed by the alpha-levels are calculated. We propose a new method for solving systems of linear fuzzy equations based on a practical algorithm using parametric functions in which the variables are given by the fuzzy coefficients of the system. By observing the monotonicity of the parametric functions in each variable, i.e. each fuzzy coefficient in the system, we improve the algorithm by calculating less parametric functions and less evaluations of these parametric functions. We show that our algorithm is much more efficient than the method of Buckley and Qu.
Keywords
system of fuzzy linear equations, fuzzy number

Citation

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

MLA
Vroman, Annelies, Glad Deschrijver, and Etienne Kerre. “Solving Systems of Linear Fuzzy Equations by Parametric Functions - An Improved Algorithm.” Fuzzy Sets and Systems 158.14 (2007): 1515–1534. Print.
APA
Vroman, Annelies, Deschrijver, G., & Kerre, E. (2007). Solving systems of linear fuzzy equations by parametric functions - An improved algorithm. Fuzzy Sets and Systems, 158(14), 1515–1534.
Chicago author-date
Vroman, Annelies, Glad Deschrijver, and Etienne Kerre. 2007. “Solving Systems of Linear Fuzzy Equations by Parametric Functions - An Improved Algorithm.” Fuzzy Sets and Systems 158 (14): 1515–1534.
Chicago author-date (all authors)
Vroman, Annelies, Glad Deschrijver, and Etienne Kerre. 2007. “Solving Systems of Linear Fuzzy Equations by Parametric Functions - An Improved Algorithm.” Fuzzy Sets and Systems 158 (14): 1515–1534.
Vancouver
1.
Vroman A, Deschrijver G, Kerre E. Solving systems of linear fuzzy equations by parametric functions - An improved algorithm. Fuzzy Sets and Systems. Elsevier Science; 2007;158(14):1515–34.
IEEE
[1]
A. Vroman, G. Deschrijver, and E. Kerre, “Solving systems of linear fuzzy equations by parametric functions - An improved algorithm,” Fuzzy Sets and Systems, vol. 158, no. 14, pp. 1515–1534, 2007.
@article{376996,
  abstract     = {{Buckley and Qu proposed a method to solve systems of linear fuzzy equations. Basically, in their method the solutions of all systems of linear crisp equations formed by the alpha-levels are calculated. We propose a new method for solving systems of linear fuzzy equations based on a practical algorithm using parametric functions in which the variables are given by the fuzzy coefficients of the system. By observing the monotonicity of the parametric functions in each variable, i.e. each fuzzy coefficient in the system, we improve the algorithm by calculating less parametric functions and less evaluations of these parametric functions. We show that our algorithm is much more efficient than the method of Buckley and Qu.}},
  author       = {{Vroman, Annelies and Deschrijver, Glad and Kerre, Etienne}},
  issn         = {{0165-0114}},
  journal      = {{Fuzzy Sets and Systems}},
  keywords     = {{system of fuzzy linear equations,fuzzy number}},
  language     = {{eng}},
  number       = {{14}},
  pages        = {{1515--1534}},
  publisher    = {{Elsevier Science}},
  title        = {{Solving systems of linear fuzzy equations by parametric functions - An improved algorithm}},
  volume       = {{158}},
  year         = {{2007}},
}

Web of Science
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