Driven by the Internet wave, relying on the powerful connection capabilities of social media and integrating the characteristics of fan economy, social e-commerce platforms have sprung up like mushrooms after rain, reshaping the modern business landscape. Logistics is the cornerstone for social e-commerce platforms to achieve efficient and safe transportation of goods from sellers to buyers, and it directly affects user experience and platform reputation. Considering the characteristics of social e-commerce platforms, this paper builds a set of logistics service quality evaluation system for social e-commerce platforms based on the SERVQUAL and LSQ models. Using the Analytic Hierarchy Process (AHP), through expert scoring, it is found that responsiveness and reliability indicators are the core indicators affecting the logistics service quality of social e-commerce platforms. Taking the representative Douyin e-commerce platform as the research object, this paper evaluates the logistics service quality of Douyin e-commerce platform by collecting questionnaires and using the fuzzy comprehensive evaluation method, and finally concludes that customers are “satisfied”. During the research process, it is found that Douyin e-commerce platform performs poorly in the dimensions of responsiveness and empathy. To improve the logistics service quality of Douyin e-commerce platform, this paper proposes beneficial suggestions for different dimensions.