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Solving systems of linear fuzzy equations by parametric functions

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 in this paper 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. We show that our algorithm is much more efficient than the method of Buckley and Qu.
Keywords
solving systems of fuzzy linear equations, fuzzy numbers

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.” IEEE Transactions on Fuzzy Systems 15.3 (2007): 370–384. Print.
APA
Vroman, Annelies, Deschrijver, G., & Kerre, E. (2007). Solving systems of linear fuzzy equations by parametric functions. IEEE Transactions on Fuzzy Systems, 15(3), 370–384.
Chicago author-date
Vroman, Annelies, Glad Deschrijver, and Etienne Kerre. 2007. “Solving Systems of Linear Fuzzy Equations by Parametric Functions.” IEEE Transactions on Fuzzy Systems 15 (3): 370–384.
Chicago author-date (all authors)
Vroman, Annelies, Glad Deschrijver, and Etienne Kerre. 2007. “Solving Systems of Linear Fuzzy Equations by Parametric Functions.” IEEE Transactions on Fuzzy Systems 15 (3): 370–384.
Vancouver
1.
Vroman A, Deschrijver G, Kerre E. Solving systems of linear fuzzy equations by parametric functions. IEEE Transactions on Fuzzy Systems. IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC; 2007;15(3):370–84.
IEEE
[1]
A. Vroman, G. Deschrijver, and E. Kerre, “Solving systems of linear fuzzy equations by parametric functions,” IEEE Transactions on Fuzzy Systems, vol. 15, no. 3, pp. 370–384, 2007.
@article{376998,
  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 in this paper 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. 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         = {{1063-6706}},
  journal      = {{IEEE Transactions on Fuzzy Systems}},
  keywords     = {{solving systems of fuzzy linear equations,fuzzy numbers}},
  language     = {{eng}},
  number       = {{3}},
  pages        = {{370--384}},
  publisher    = {{IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC}},
  title        = {{Solving systems of linear fuzzy equations by parametric functions}},
  volume       = {{15}},
  year         = {{2007}},
}

Web of Science
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