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However, the existing environmental governance cost prediction methods are facing two challenges: First, the principal components of environmental indicator information must be accurately extracted without considering the independence of environmental indicators. Second, the higher interpretability and the lower complexity must be taken into account with the desired accuracy for improving the cost prediction of environmental governance. Therefore, the fuzzy rule based system (FRBS) and feature extraction are introduced to propose a new environmental governance cost prediction method, named FRBS-FE, in which the feature extraction is used to extract the principal components of environmental indicator information firstly, and then all these principal components are applied to generate a FRBS-FE for better environmental governance cost prediction. A case study involving 29 provinces of China is carried out to demonstrate the effectiveness of the FRBS-FE. 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