Solution of fuzzy differential equations with generalized differentiability using LU-parametric representation
B Bede, L Stefanini - Proceedings of the 7th conference of the …, 2011 - atlantis-press.com
Abstract fuzzy numbers and fuzzy-valued functions, to obtain valid approximations 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 in nitely many
ordinary differential equations and, by the LU-parametric representation, the in nitely many
equations can be approximated ef ciently by a nite set of four ODEs. Some examples are
included. Keywords--Parametric Fuzzy Partition, Fuzzy Transform, Smoothing Functions …
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 in nitely many
ordinary differential equations and, by the LU-parametric representation, the in nitely many
equations can be approximated ef ciently by a nite set of four ODEs. Some examples are
included. Keywords--Parametric Fuzzy Partition, Fuzzy Transform, Smoothing Functions …
[PDF][PDF] Solution of Fuzzy Differential Equations with generalized differentiability using LU-parametric representation
B Barnabàs, L STEFANINI - 2011 - academia.edu
The paper uses the LU-parametric representation of fuzzy numbers and fuzzy-valued
functions, to obtain valid approximations 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.
functions, to obtain valid approximations 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.
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