Abstract: The robustness measure in E-SDRM (expected value semi-deviation robust model) only pays attention to the measurement of risk part but ignores decision-makers’ attitude towards some situations such as bidding or captical budget. Aiming to solve this problem in E-SDRM for the proposed problem, a new robust model referred to as the expected value-combinatorial semi-deviation robust model (E-CSDRM) is proposed. E-CSDRM can not only measure the potential risk of decision-makers’ but also give enough consideration to the profits over expectation given a specific decision-makers’ attitude towards some situations such as bidding or captical budget. Theoretical analysis shows that E-CSDRM is a generalization of E-SDRM and simulation results demonstrated the effectiveness of the new model.