An algorithm for the solution of second order fuzzy initial value problems

In this paper, we state a fuzzy initial value problem of the second order fuzzy differential equations. Here we investigate problems with fuzzy coefficients, fuzzy initial values and fuzzy forcing functions. We propose an algorithm based on alpha-cut of a fuzzy set. Finally we present some examples...

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Veröffentlicht in:	Expert systems with applications 2013-02, Vol.40 (3), p.953-957
Hauptverfasser:	Akın, Ö., Khaniyev, T., Oruç, Ö., Türkşen, I.B.
Format:	Artikel
Sprache:	eng
Schlagworte:	Algorithms Alpha-cut operation Differential equations Exact sciences and technology Expert systems Fuzzy Fuzzy differential equations Fuzzy initial value Fuzzy initial value problem Fuzzy logic Fuzzy number Fuzzy set theory Initial value problems Mathematical analysis Mathematics Ordinary differential equations Sciences and techniques of general use
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Zusammenfassung:	In this paper, we state a fuzzy initial value problem of the second order fuzzy differential equations. Here we investigate problems with fuzzy coefficients, fuzzy initial values and fuzzy forcing functions. We propose an algorithm based on alpha-cut of a fuzzy set. Finally we present some examples by using our proposed algorithm.
ISSN:	0957-4174 1873-6793
DOI:	10.1016/j.eswa.2012.05.052