A topological relations model of fuzzy regions based on flou set

Spatial entities are usually described as sharp regions in most geographic information systems (GIS). However, spatial regions do not always have homogeneous interiors and sharply defined boundaries, but frequently their interiors and boundaries are fuzzy. This paper provides a fuzzy spatial region model based on flou set, and then a topological relations model of fuzzy regions is proposed. This model can determine the topological relations between fuzzy regions with the values of three predications. It can analyze topological relations of fuzzy regions on multiple levels. The model is wieldy in practical applications and valuable in the fields such as GIS, geography and spatial database.