Introducing Bayesian Argumentation Networks.

We give a faithful interpretation of Bayesian networks into a version of nu- merical argumentation networks based on Łukasiewicz infinite-valued logic with product conjunction. The advantages of such a translation, beyond the theoret- ical aspects of it, are hopefully threefold: 1) importing updating algorithms into argumentation networks; 2) importing the handling of loops into cyclic Bayesian networks; and 3) importing logical proof theory into Bayesian networks.

Authors

• Dov M. Gabbay
• Odinaldo Rodrigues King's College London

Keywords

• Bayesian Networks
• Argumentation Theory
• Numerical Networks