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Soft Computing
Published in: Soft Computing 2/2015

01-02-2015 | Methodologies and Application

Solving fuzzy differential equations based on the length function properties

Authors: T. Allahviranloo, M. Chehlabi

Published in: Soft Computing | Issue 2/2015

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Abstract

In this paper, first, some properties of the length function for fuzzy numbers are introduced and then they are used for the concept of H-difference on fuzzy number-valued functions. Moreover the concept of generalized differentiability, its properties and switching points related to derivative of fuzzy number-valued functions are discussed in detail. Finally, the fuzzy differential equation is considered based on the concept of length function and it is illustrated by solving some numerical examples.
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Metadata
Title
Solving fuzzy differential equations based on the length function properties
Authors
T. Allahviranloo
M. Chehlabi
Publication date
01-02-2015
Publisher
Springer Berlin Heidelberg
Published in
Soft Computing / Issue 2/2015
Print ISSN: 1432-7643
Electronic ISSN: 1433-7479
DOI
https://doi.org/10.1007/s00500-014-1254-4

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