An enterprise resource planning (ERP) software is needed for industries and companies that want to develop in future. Many of the manufactures and companies have a problem with ERP software selection. An inappropriate selection process can affect both the implementation and the performance of the company signiﬁcantly. Although several models are proposed to solve this problem many of them did not consider uncertainty as an effective environmental factor. In the current paper a new model is designed. This model is based on balanced score card (BSC) and in addition, uncertainty is considered. This paper used three-parameter interval grey numbers concept that derived from Grey-theory in order to reduce uncertainty. Beside, hybrid model for weighting based on Shapley and Entropy methods are used. This combination approach is also because of reducing uncertainty. And at the end, a new method named projection attribute function method is used for ranking. There is a case study at the end of this paper that shows how this model works.