Solution of Fuzzy Differential Equations with generalized differentiability using LU-parametric representation
نویسندگان
چکیده
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 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, Fuzzy Numbers
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