The combined cooling heating and power (CCHP) systems have been drawing high attention due to its energy-saving, environmentally friendly, and cost-saving characteristics. In order to utilize the abundant renewable energies (RE) efficiently, and meet the demand of diversity of energy uses, RE is proposed to realize a CCHP system. However, various forms of energy use can lead to complex control and higher cost. Therefore, new methods are needed to evaluate the advantages and disadvantages of a renewable energies based on CCHP, called RE-CCHP system. In this paper, one of the buildings in Western China is selected as a research object, and the separate power (SP) system and CCHP system are taken as references. Twenty-six different indexes of a RE-CCHP system are constructed based on the environment, society, economy, and technology criteria. Simultaneously, the subjective and objective weights of the indexes are calculated by using the fuzzy decision-making trial and evaluation laboratory and anti-entropy weight (Fuzzy-DEMATEL-AEW), respectively. Then, the comprehensive weights are calculated using the matrix theory. As a result, the important indexes and two operation modes (FEL and FTL) of different systems are compared and analyzed according to the the comprehensive weight value. Meanwhile, the VIKOR method is used to evaluate and analyze the performance of three systems. At the end, sensitivity analysis is carried out to illustrate the rationality and feasibility of the proposed method.