© Springer International Publishing Switzerland 2014. This paper discusses a fuzzy model to select social component Web services for developing composite Web services. The social aspect stems from the qualities that Web services exhibit at run-time such as selfishness and trustworthiness. The fuzzy model considers these qualities during the selection, which allows users to express their needs and requirements with respect to these qualities. The ranking in this fuzzy model is based on a hybrid weighting technique that mixes Web services’ computing and social behaviors. The simulation results show the appropriateness of fuzzy logic for social Web services selection as well as better performance over entropy-based ranking techniques.