Fuzzy Spatial Relations between Vague Regions

Various intelligent systems rely heavily on formalisms for spatial representation and reasoning. However, it is widely recognized that real-world regions are seldom characterized by a precisely defined boundary. This paper proposes a generalization of the Region Connection Calculus (RCC) which allows to define spatial relations between vague regions. To this end, spatial relations are modelled as fuzzy relations. To support spatial reasoning based on these relations, we give some important properties and a transitivity table. Furthermore, we show how imprecise spatial information can be modelled in our approach when vague regions are represented as fuzzy sets.