关键词: 有界域, 紧小波框架, 消噪变异, 浮点数编码, 遗传算法

Abstract: Lately, it makes some progress in research on denoising mutation about Floating Point Representation（FPR）genetic algorithm. A little positive result is gained by some researchers. The theory and method are focal points in research on FPR denoising mutation all the time. The field needs to emerge some newer theory and worthwhile achievement in application. So far, there is research on Tight Wavelet Frame on Bounded Domain（TWFBD）used in FPR denoising mutation. In this paper, it carries out that it emphasizes on analysis on the properties of TWFBD, makes denoising mutation operation in the algorithm with TWFBD, proposes the TWFBD-based Floating Point Representation Genetic Algorithm（TFPRGA）, and makes many experiments. The results of the research and the experiments indicate that the proposed method has reliable theory base, more obvious than other methods in effect.

Key words: bounded domain, tight wavelet frame, denoising mutation, floating point representation, genetic algorithm