University library is a service system and its major function is to provide the teachers and students with resources and information for learning and research. The key point which affect the customers' motivation and willingness for the use of the library is its service quality. Dr. W. Edwards Deming defined quality as to meet the requirements of customers and lead to customer satisfaction. From the viewpoint of customer satisfaction, the overall usage situation, librarians' attitude, data in the library, facility and environment, and information equipment are proposed as five main measuring ways of service quality. Each way, in this paper, is weighted by the fuzzy analytic hierarchy process (FAHP) methodology to investigate the service quality of the NHIT library. Some suggestions are then provided for continuous improvement and quality enhancement of service.