Topological relation analysis between high-order fuzzy regions based on fuzzy logic

Abstract

Topological relations are key to spatial relations in geographical information science (GIS), but topological relations between uncertain objects present a difficulty for GIS. Although many researchers have done a great deal of work in this area, there is still not a suitable solution. This paper reviews some of the previous work on relevant topics and points out some faults in these methods. Then, an analysis method based on the fuzzy logic of interval type-II fuzzy region topological relations is proposed. Six basic types of fuzzy topological relationships have been defined based on fuzzy logic and calculation methods, and processes of topological relations have been proposed. Many reasons, such as the fuzzy geographical phenomenon's own complexity, boundary syndrome, fuzzy object models, and calculating methods, lead to the complexity of the topological relations of fuzzy spatial objects. The method proposed by this paper considers these factors in a synthetic manner. The results are in accordance with objective data, and the proposed method can be performed easily. Thus, the method possesses real value.