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Publikace

Cauchy Problem with Fuzzy Initial Condition and Its Approximate Solution with the Help of Fuzzy Transform

Typ:
Konferenční příspěvek
Autoři publikace:
Perfilieva I., De Meyer H., De Baets B., Plšková D.
Název sborniku:
WCCI 2008 Proceedings
Nakladatel:
IEEE COmputational Intelligence Society
Místo vydání:
Hong Kong
Rok:
2008
Strany:
2285-2290
ISBN:
978-1-4244-1819-0
Klíčová slova:
fuzzy logic; fuzzy transform; time series
Anotace:
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.
 
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