Floating Point Representation Genetic Algorithm Based on Wavelet Decomposition

Genetic algorithm (GA) is used widely to many fields. Coding is one of difficult issues of GA research. Floating point presentation (FPR) is of the advantage of higher precision and convenience of searching in great space. FPR is superior to other codes in function optimization and restriction optimization. But, the noises were neglected by researches which were generated by FPR in genetic environment. This paper is based on wavelet decomposition, the noises are mapped to Haar basis, algorithm is made with denoising mutation, the algorithm is implemented by programming. The results of the research and the experiments indicate which the method is superior to other algorithms, is reliable in theory, and is feasible in technique.