Abstract
Topological relations are one of the most fundamental properties between spatial objects. The topological relations between crisp spatial objects have been well identified. However how to formalise the topological relations between fuzzy regions needs more investigation. The paper starts from introduction of boundaries defined in the fuzzy topological space. By use of a definition formally equivalent with the boundary of a crisp set in the crisp topological space, several novel notations of the fuzzy topological space are proposed. These notations are then proved to be topological properties. In order to investigate the topological relations, a 9-intersection matrix and a 4*4 intersection matrix are formalized based on different topological parts of two fuzzy sets. For the identification of the topological relations between two fuzzy spatial objects, a simple fuzzy region is defined topologically. By use of the 9-intersection matrix, 44 relations are identified. These relations can be further decomposed by use of the 4*4 intersection matrix. Since the analysis is based on the general fuzzy topological space, the results will be more applicable for GIS modelling.
| Original language | English |
|---|---|
| Title of host publication | ISPRS 2002, SDH 2002, CIG 2002 |
| Subtitle of host publication | Proceedings of the joint ISPRS Commission IV symposium, Spatial Data Handling and 95th annual CIG geomatics conference : Geospatial theory, processing and applications, July 9-12, 2002 Ottawa, Canada |
| Publisher | Canadian Institute of Geomatics (CIG) |
| Number of pages | 15 |
| Publication status | Published - 2002 |
Keywords
- GIP
- ADLIB-ART-927