With the development of China’s economy, people’s demand for public services is increasing. While meeting the public better through marketization, it is also easy to lead to some risks. The purpose of this study is to use the fuzzy analytic hierarchy process (FAHP) to evaluate the risk of public service marketization and make effective measures to avoid it. This study selects the Public Gymnasiums in different districts of our city as the research object and selects one as the nationalized public service place and the other as the market-oriented public service place. In this study, the amount of service, service equipment, service supervision status, and people’s score under the situation of nationalization and marketization is used as the evaluation indexes of public service marketization. At the same time, combined with the fuzzy analytic hierarchy process (FAHP), the risks to the normal operation of the place after marketization are summarized. The results show that the turnover of the nationalized public service places is about 40 million yuan in the past five years, and the capital flow rate gradually decreases from 1.5%; while the market-oriented turnover reaches the maximum of 90 million yuan, the capital flow rate also rises to 2.21%. However, with the marketization, the scores are high and low. This shows that the marketization of public services leads to the improvement of service items and the increase of service charges. The conclusion is that the marketization of public services will have certain risks, but with the control and fine adjustment of enterprises, it is gradually supported by the public.

At present, the people in the micro-blogging marketing performance evaluation research is still in the weak status, based on the fuzzy theory, a comprehensive questionnaire with the method of entropy weight fuzzy comprehensive evaluation for the micro-blogging marketing performance in this study, with an enterprise’s from January 2019 to October of micro-blogging marketing performance activity, the propagation force and coverage for data collection and the analysis of simulation results. Fuzzy comprehensive evaluation is a method of comprehensively evaluating things based on the degree of membership in fuzzy mathematics theory. The method of evaluating participating units with multiple indicators can evaluate the participating units more reasonably and accurately. The entropy weight law reflects the relative variation degree of each indicator according to the amount of information provided by the observed value of each indicator, and calculates the weight data of the indicator by means of information entropy. Through the establishment of a performance evaluation index system for micro-blog marketing, the micro-blog marketing performance is researched on the three indicators of micro-blog activity, micro-blog communication power and micro-blog coverage in performance evaluation. Among the research results, 23% of people believe that micro-blog activity is more important for performance evaluation; 39% believe that micro-blog communication is more important in performance evaluation; 41% believe that microblog coverage is more important in performance evaluation. This result indicates that the marketing performance of the enterprise’s micro-blog is not only determined by whether the enterprise’s micro-blog is active or not, but also should pay attention to the spreading strength and coverage of the micro-blog. However, the influence of indicators with small weight on the marketing performance of the micro-blog should not be ignored.