Modeling topological relations between fuzzy spatiotemporal regions over time

Representing and identifying the topological relations between fuzzy spatiotemporal regions over time have an important significance in reasoning fuzzy spatiotemporal relations. The research issue of topological relations between fuzzy regions over time has attracted a lot of attention in the recent years. However, modeling topological relations needs to be further developed and it is still an open issue. In this paper, we extend the 9-Intersection model to establish a model for identification of topological relations between fuzzy spatiotemporal regions over time, and use extended intersection matrix to identify all possible topological relations. On the basis of our topological relation model, we extend two-dimensional Egg/Yolk model to three-dimensional space and calculate the corresponding intersection matrixes of each topological relations. Furthermore, after investigation of topological complexity and topological distance based on our proposed topological relation model, we propose a comprehensive conceptual neighborhood graph of the topological relations implemented on MATLAB.