A scalable fuzzy division model of topological space on GIS

International Conference on Manufacturing Technology, Materials and Chemical Engineering

材料科学;化学工业

Jun, Xiang^1

GuangXi Open University, No.1-1 DongBao Road, NanNing, GuangXi, China^1

关键词: Formal Description;    Formalization description;    Fuzzy division;    Point-set topology;    Real-world;    Spatial entities;    Topological relationships;    Topological spaces;   

Others  :  https://iopscience.iop.org/article/10.1088/1757-899X/592/1/012089/pdf
DOI  :  10.1088/1757-899X/592/1/012089

学科分类：材料科学（综合）

来源: IOP

【 摘 要 】

It is difficult to describe topological relationship of complicated geographical phenomena and entity with fuzziness and uncertainty in the real world. Aiming at the above problem, this paper has summarized to the topological relationship of between spatial entities with 4-intersection model and 9-intersection model firstly. On the basis of point-set topology, the formal description model of the topological relationship between fuzzy geographical entities is analysed and gives a detailed and accurate formalization-description and strict math formula. Lastly, this paper proposes a method, which improves and expands topological division to between fuzzy geographical entities. It shows that analysing result, the model can analyse and divide the entity fuzzily from simple entity to complicated entity.