Knowledge sharing is the basic means to improve the efficiency of Supply Chain Management (SCM). Ontology is the basis of sharing and reusing knowledge on the Semantic Web. Fuzzy ontology is an extension of domain ontology for solving the uncertainty problems. In order to handle fuzzy phenomenon and uncertainty of knowledge in SCM, this paper proposes a series of fuzzy ontology models using intuitionistic fuzzy set that consists of fuzzy domain ontology and fuzzy linguistic variable ontologies. Then, a fuzzy ontology framework is presented, including three parts: concepts, properties of concepts and values of properties. The application, which uses fuzzy ontology to model customer and product knowledge in supply chain, shows that these models can overcome the localization of other fuzzy ontology models, and this research facilitates the fuzzy knowledge sharing and reuse on the Semantic Web.