Consensual Dynamics and Choquet Integral in an Attack Tree-based Fraud Detection System

In this paper we extend two modules of the multi-agent system FIDES (Fraud Interactive Detection Expert System) previously introduced in Buoni et al. (2011), and involving the attack tree representation of fraudulent attacks. First, assuming that the opinions of experts involved in the design of the attack tree are represented by fuzzy preference relations, we introduce a dynamical consensus model aiming at finding a shared representation of the attack tree. Second, assuming that the leaf nodes of the attack tree are attribute fuzzy numbers valued and that the attributes are interdependent, we show how to propagate the values up the tree through an aggregation process based on Choquet integral.