A Grey Set Based Quantitative Analysis Model for Indeterminate Topological Relations Between Uncertain Spatial Regions

We present a quantitative analysis model for indeterminate topological relations between uncertain spatial regions.Grey set is used to represent uncertain spatial regions,which have a pair of membership function instead a single one to represent 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.