Abstract:On the basis of analyzing causes of Internet public opinion emergency (IPOE) and features of emergency decision, the indicators of IPOE are constructed from three aspects of the state of Internet public opinion, the emergency itself and the public attention. Due to the uncertainty and diversity of indicators for IPOE and the difference of linguistic judgment matrices on crisis evaluation from experts, we propose a fuzzy multi-indicator group decision making of IPOE based on relative entropy and linguistic weighted operator. Firstly, according to judgment matrix of evaluating importance of indicators, we calculate the weights of indicators of each expert, and then use the multi-indicator combination weighting method based on relative entropy to get the experts′weights, so we can calculate comprehensive weights of indicators of IPOE. Secondly, based on linguistic indicator evaluation of IPOE from experts, we use the linguistic weighted arithmetic average operator to gain the comprehensive evaluation of the value of each IPOE, and quickly sort out IPOEs according to crisis levels. Finally, an example is carried out to show the practicality of the proposed method.