| In recent years, cosmic-ray muon imaging gets more attentions and develops rapidly in radiation imaging as a new imaging technology. The cosmic-ray muon imaging is designed to detect high Z materials by taking advantage of natural cosmic-ray muons. When the muons pass through an object, their trajectory is affected by Coulomb Scattering from the atoms in the material. Comparing with cosmic-ray muon imaging with other methods, it has the following advantages: sensitive to high Z material, good penetrating ability , natural radiation source and low cost. So, it is considered as an effective technology to control smuggling of fissile nuclear material in the future.The tomography algorithms frequently used are all based on probability statistics, so a large number of data are required. But in reality, the overall muon rate is about 10000 m-8 per minute, and the mean muon energy is 3-4 GeV. In this paper we only use the muon that the energy is 3-4GeV. When the number of particles is small, We use grey system theory better in dealing the work which has little sample and incomplete information. Grey relational cluster method is applied for materials detection of the research of muon tomography for the first time, and we got some preliminary results that cosmic-rays passing through different materials were distinguished and the preliminary for materials detection was done.
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