关键词: 正交多小波, 消噪变异, 浮点数编码, 遗传算法

Abstract: Encoding is one of difficult problems of research on Genetic Algorithm（GA）.Float Code（FC） is super to other codes in function and restriction optimization.But it is ignored by researchers how FC is denoised in running environment of GA for enhancing the performance of GA.In this paper，it is proved by the wavelet theory that odd-length and even-length of chromosome encoded can all be mutated with wavelet denoising.The Float Code GA（FCGA） with orthonormal multi-Wavelet Denoising Mutation（FGAWDM） is presented based on the above result.The experiments are done.The result of the research and the experiment indicates that the method is credible in theory，is feasible in technique.It is of active significance to extend application space of FCGA.

Key words: orthonormal multiwavelet, denoising mutation, float code, genetic algorithm