Numerical Information Fusion: Lattice of Answers with Supporting Arguments

The problem addressed in this paper is the merging of numerical information provided by several sources. Merging conflicting pieces of information into an interpretable and useful format is a tricky task even when an information fusion method is chosen. The use of formal concept analysis and pattern structures enables us to associate subsets of sources to combination results obtainable from consistent subsets of pieces of information. This provides a lattice of arguments where the reliability of sources can be taken into account. Instead of providing a unique fusion result, the method yields a structured view of partial results labelled by subsets of sources and allows us to argue about the most appropriate evaluation. The approach is illustrated with an experiment on a real-world application to decision aid in agricultural practices.