This paper applies a new multi attribute decision-making (MADM) model to help companies for enterprise resource planning (ERP) selection problem based on Balanced Score Card method. This paper uses three-parameter interval grey numbers which is derived from Grey theory (was proposed by J. Deng). This numbers is used instead of linguistic variables. Beside, a new weighting method that outcomes from combination of SMARTER and Shannon Entropy methods and also a new ranking method (Grey ELECTRE method) that is generalization of ELECTRE I for three parameter interval grey numbers are used in this paper. Finally an industrial case study for ERP selection is discussed Manuscript profile