A Logic Programming Framework for Possibilistic Argumentation with Vague
  Knowledge
  Defeasible argumentation frameworks have evolved to become a sound setting to
formalize commonsense, qualitative reasoning from incomplete and potentially
inconsistent knowledge. Defeasible Logic Programming (DeLP) is a defeasible
argumentation formalism based on an extension of logic programming. Although
DeLP has been successfully integrated in a number of different real-world
applications, DeLP cannot deal with explicit uncertainty, nor with vague
knowledge, as defeasibility is directly encoded in the object language. This
paper introduces P-DeLP, a new logic programming language that extends original
DeLP capabilities for qualitative reasoning by incorporating the treatment of
possibilistic uncertainty and fuzzy knowledge. Such features will be formalized
on the basis of PGL, a possibilistic logic based on Godel fuzzy logic.
