Research on FCGA Based on Orthonormal Multiwavelet Denoising Mutation

In research on genetic algorithm (GA), encoding is one of difficult problems. The past research indicated which float code (FC) could be super to other codes in function and restriction optimization. It was ignored by researchers how FC was denoised in running environment of GA for enhancing the performance of GA. In this paper, it was proved that odd-length and even-length of chromosome could all mutate with wavelet denoising. Based on the theoretic result, it was presented float code GA (FCGA) with orthonormal multi wavelet denoising mutation (FGAWDM). Many experiments were done. The result of the research and the experiment indicates that the method is credible in theory, is feasible in technique.