Abstract: Considering the uncertainties and incompletion of information when enterprises select green strategy, the data range was combined with confidence degree of information. Then a novel method was proposed for the green strategy decision which resolves the multi-criteria decision making problem objectively and completely. Meanwhile, the Z-number theory (proposed by Zadeh) was used to the decision making problem with uncertainty information. Additionally, the natural language was also transformed into numerical value to measure the score of different schemes with the notion of fuzzy logic. Finally, the method's effectiveness was proved by a numerical example.