Open AccessA scalable fuzzy division model of topological space on GIS
Author(s) -
Jun Xiang
Publication year - 2019
Publication title -
iop conference series. materials science and engineering
Language(s) - English
Resource type - Journals
eISSN - 1757-899X
pISSN - 1757-8981
DOI - 10.1088/1757-899x/592/1/012089
Subject(s) - intersection (aeronautics) , topological space , division (mathematics) , topology (electrical circuits) , computer science , set (abstract data type) , scalability , basis (linear algebra) , fuzzy logic , simple (philosophy) , point (geometry) , space (punctuation) , theoretical computer science , mathematics , artificial intelligence , geography , pure mathematics , cartography , arithmetic , combinatorics , philosophy , geometry , epistemology , database , programming language , operating system
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.