The purpose of this paper is to investigate how to select the best alternative from many alternatives based on the multiple quantitative and qualitative criteria. In this paper, defuzzying method is firstly applied to deal the qualitative criteria, and then combined with the quantitative criteria into the method of grey relational analysis to evaluate the degree of grey relation. This degree can then be used to determining the best alternative. Finally, an implementing case of industry investment was used to verifying the feasibility of this decision making analysis method in selecting the best industry investment.