Low-carbon evaluation is a process of comprehensively assessing the environmental behavior and performance of enterprises, which helps to shape their positive environmental image and enhance their sense of social responsibility. In the context of low carbon economy, enterprise performance assessment involves not only quantitative indicators but also qualitative indicators. By constructing a hybrid multi-attribute performance evaluation index system, the uncertainty data of non-quantitative indicators of low-carbon enterprises were evaluated by trapezoidal fuzzy numbers, and the fuzzy entropy weighting method was used to determine the weights of the indicators, and then the multi-criteria weighted aggregation method was used to calculate the comprehensive performance evaluation value of the enterprise. Finally, the enterprise’s low-carbon development level can be ranked according to the fuzzy credibilistic mean and variance of performance.