Abstract
The paper uses the LU-parametric representation of fuzzy numbers and fuzzy-valued functions, to obtain valid approxi-mations of fuzzy generalized derivative and to solve fuzzy differential equations. The main result is that a fuzzy differential initial-value problem can be translated into a system of infinitely many ordinary differential equations and, by the LU-parametric representation, the infinitely many equations can be approximated efficiently by a finite set of four ODEs. Some examples are included. © 2011. The authors-Published by Atlantis Press.
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Bede, B., & Stefanini, L. (2011). Solution of fuzzy differential equations with generalized differentiability using LU-parametric representation. In Proceedings of the 7th Conference of the European Society for Fuzzy Logic and Technology, EUSFLAT 2011 and French Days on Fuzzy Logic and Applications, LFA 2011 (Vol. 1, pp. 785–790). Atlantis Press. https://doi.org/10.2991/eusflat.2011.106
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