Topography-based Fuzzy Assessment of Runoff Area with 3D Spatial Relations

Fuzzy logic has been successfully used in various crisis management systems. In such systems, the geographical aspect is usually very important and relies on Geographical Information Systems. Most of the approaches are focused on 2D information. In this paper, we use the fuzzy morpho-mathematics framework to define new relations to reason on the topography with a digital terrain model. In particular, we focus on the characterisation of the line of greatest dip. Without loss of generality, we then illustrate those relations on a case of runoff from a building and a terrain.