This paper introduces a new method of knowledge representation called a fuzzy semantic network (FUSEN). FUSENs were created to model continuous or fuzzy knowledge using concepts from artificial intelligence, fuzzy set theory, and cognitive psychology. FUSENs have the ability to model three theories from cognitive psychology: the theory of natural categories, the family resemblance theory, and the feature-set theory. They can also perform as most of the knowledge structures from artificial intelligence and as a fuzzy set structure. Presented is their structure and several examples illustrating their use.