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Cauchy problem with fuzzy initial condition and its approximate solution with the help of fuzzy transform

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4 Author(s)
Perfilieva, I. ; Inst. for Res. & Applic. of Fuzzy Modelling, Ostrava Univ., Ostrava ; De Meyer, H. ; De Baets, B. ; Piskova, D.

We investigate the Cauchy problem for ordinary differential equation (ODE) with fuzzy initial condition. We define a solution to this problem and propose a new method of how an approximate solution can be constructed. The proposed method is based on the technique of fuzzy transforms and ends up with a solution of a system of fuzzy relation equations. The approximate solution is expressed symbolically and the quality of approximation is estimated.

Published in:

Fuzzy Systems, 2008. FUZZ-IEEE 2008. (IEEE World Congress on Computational Intelligence). IEEE International Conference on

Date of Conference:

1-6 June 2008