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Research Centre
Data - Algorithms - Decision Making
Data - Algorithms - Decision Making
Established in 2005 under support of MŠMT ČR (project 1M0572)
Publications
Cauchy Problem with Fuzzy Initial Condition and Its Approximate Solution with the Help of Fuzzy Transform
Typ:
Conference paper
Authors:
Perfilieva I., De Meyer H., De Baets B., Plšková D.
Proceedings name:
WCCI 2008 Proceedings
Publisher:
IEEE COmputational Intelligence Society
Serie:
Hong Kong
Year:
2008
Pages:
2285-2290
ISBN:
978-1-4244-1819-0
Keywords:
fuzzy logic; fuzzy transform; time series
Anotation:
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.
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.