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Erschienen in: Soft Computing 1/2013

01.01.2013 | Original Paper

Applications of fuzzy Laplace transforms

verfasst von: S. Salahshour, T. Allahviranloo

Erschienen in: Soft Computing | Ausgabe 1/2013

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Abstract

A natural way to model dynamic systems under uncertainty is to use fuzzy initial value problems (FIVPs) and related uncertain systems. In this paper, we express the fuzzy Laplace transform and then some of its well-known properties are investigated. In addition, an existence theorem is given for fuzzy-valued function which possess the fuzzy Laplace transform. Consequently, we investigate the solutions of FIVPs and the solutions in state-space description of fuzzy linear continuous-time systems under generalized H-differentiability as two new applications of fuzzy Laplace transforms. Finally, some examples are given to show the efficiency of the proposed method.

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Metadaten
Titel
Applications of fuzzy Laplace transforms
verfasst von
S. Salahshour
T. Allahviranloo
Publikationsdatum
01.01.2013
Verlag
Springer-Verlag
Erschienen in
Soft Computing / Ausgabe 1/2013
Print ISSN: 1432-7643
Elektronische ISSN: 1433-7479
DOI
https://doi.org/10.1007/s00500-012-0907-4

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