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Traditional statistical data processing approach needs to know the distribution regularity of samples. But in the antiradiation missiles (ARM), when aerial defense radar uses active-decoying, the sample distribution regularity usually can't be known or has many likelihoods. To improve the precision and the stabilization of the angle-measure in the active-decoying environment, a grey processing approach is proposed in this paper. The methods of removing gross error and parameter estimation based on the grey entropy definition are proposed in the paper. Using grey data processing approach based on the definitions of grey distance measure and grey relation entropy, eliminate singularity and retain random error. Finally, the simulation test verifies that the grey processing approach can improve the precision and stabilization of angle-measurer in active-decoying environment, and can improve the precision of ARM.