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

Author

Perfilieva, Irina ; De Meyer, Hans ; De Baets, Bernard ; Piskova, D.

Author_Institution

Inst. for Res. & Applic. of Fuzzy Modelling, Ostrava Univ., Ostrava

fYear

2008

fDate

1-6 June 2008

Firstpage

2285

Lastpage

2290

Abstract

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.

Keywords

approximation theory; differential equations; fuzzy set theory; transforms; approximate solution; approximation quality; cauchy problem; fuzzy initial condition; fuzzy relation equations; fuzzy transform; ordinary differential equation; Chromium; Differential equations; Extraterrestrial measurements; Fuzzy sets; Fuzzy systems; Image coding; Partial differential equations; Signal processing; Stability; Transforms;

fLanguage

English

Publisher

ieee

Conference_Titel

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

Conference_Location

Hong Kong

ISSN

1098-7584

Print_ISBN

978-1-4244-1818-3

Electronic_ISBN

1098-7584

Type

conf

DOI

10.1109/FUZZY.2008.4630687

Filename

4630687