On the solution of differential equations with fuzzy spline wavelets

Fuzzy systems built with spline wavelets can approximate any function in a general Hilbert space. Since wavelets are used extensively for the efficient solution of various types of differential equations, it is demonstrated that fuzzy spline wavelets can be used for the solution of the same type of problems. The advantage in using fuzzy spline wavelets for the solution of such problems is that the solution would enjoy the excellent numerical and computational characteristics of the fast wavelet transform, while retaining the explanatory power of fuzzy system. The method is demonstrated with the feedforward control of a flexible robotic arm.

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