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Multiply attribute decision making has been a hot research topic in the world in recent year, a new method named grey relation projection with deviation degree in interval number is proposed. The deviation degree of interval numbers is firstly established. Based on the idea of grey relation analysis, grey incidence coefficient matrix is obtained by deviation degree of interval numbers. Furthermore, we obtain vector projections from grey incidence coefficient, and the results can be calculated to rank all alternatives. Finally, an example is illustrated. The result shows the approach is effective for this MADM.