Reasoning the Uncertainty of Topological Relations between Uncertain Regions

This paper presents a quantitative analysis model for indeterminate topological relations between uncertain spatial regions. This model use Grey set to represent uncertain spatial regions, which have a pair of membership function instead a single one to describe the indeterminacy distribution. Using the cut-set operation on the Grey set, uncertain spatial regions can be turned into crisp region pairs. By applying relative qualitative topological analysis model such as the Egg/Yolk model on these crisp region pairs. the indeterminacy of topological relations can be quantified to a probability range.