The new museum movement of the twentieth century has driven the development of the form and function of museums around the world. Museums began to be actively open to the public, and some new concepts of museums, such as eco-museums and community museums, emerged. The aim of these museums is to build a cultural bridge between people and the city and to promote the harmonious development of society, economy, and culture. The visitors, as the service targets of the museum, will directly influence the popularity of the museum among the masses by their evaluation of the museum experience; however, at present, there is a clear gap between the design of many museums and the feedback of subsequent visitors’ experiences. Only by understanding visitors’ feelings and preferences can subsequent museum design be improved; this paper will focus on demonstrating the application of the mathematical idea of the fuzzy comprehensive evaluation method to community museums; it establishes a community museum quality evaluation system based on human-centered design principles from the perspective of urban community museums and constructs a fuzzy comprehensive evaluation model of a community museum experience. Finally, the design of a community museum in Nottingham, UK, is used as an example to make a comprehensive evaluation of its quality. According to the analysis, the fuzzy comprehensive evaluation method has practical value in scientifically evaluating the quality of urban community museums through data on the visitor experience.