Orthonormal multiwavelet denoising mutation based FPRGA

Encoding is one of difficult problems of research on genetic algorithm (GA). Floating point representation (FPR) is super to other encoding method in function and restriction optimization. But this problem was ignored by researchers how FPR was denoised in running environment of GA for enhancing the performance of GA. In this paper, it was proved by the wavelet theory that odd-length and even-length of chromosome encoded could all mutate with wavelet denoising. Based on the above research result, the floating point representation GA (FPRGA) with orthonormal multiwavelet denoising mutation (FGAMDM) was presented by the paper. The experiments were done by it. The result of the research and the experiment indicates that the method is credible in theory, is feasible in technique.