The goal of the FASP-project is the development of fuzzy answer set programming as a generalization of the existing answer set programming. It is expected that the combination with fuzzy techniques will greatly expand the application potential of answer set programming, in particular in the area of the semantic web. For example, it will become possible to express the (reasons for) trust and distrust between agents, to model the appreciation of possibly conflicting information obtained from various sources, to allow for less important rules to be satisfied only to a certain extent etc.