20 August 2010 The rough expression for topological relation of GIS entity based on binary relation
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Proceedings Volume 7820, International Conference on Image Processing and Pattern Recognition in Industrial Engineering; 78203E (2010) https://doi.org/10.1117/12.866308
Event: International Conference on Image Processing and Pattern Recognition in Industrial Engineering, 2010, Xi'an, China
Abstract
The relation for one entity and another entity of GIS is topological relation, and the set of two GIS entities with topological relation is an ordered pair, and so it is a binary relation. We use some characteristic of binary relation and rough set to study the relations for GIS entities, and we discover that the front, behind, upper and lower neighborhood relation of GIS entity have even more extensive sets than itself based on binary relation's generalized approximation space. We also discover that the upper and lower approximation of GIS entity for binary relation is more extensive than Pawlark rough set. We discover that the upper approximation for a single-point set of one GIS entity is equal to it's front neighborhood and is equal to it's behind neighborhood relation's inversion too.
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WeiHua Liao, "The rough expression for topological relation of GIS entity based on binary relation", Proc. SPIE 7820, International Conference on Image Processing and Pattern Recognition in Industrial Engineering, 78203E (20 August 2010); doi: 10.1117/12.866308; https://doi.org/10.1117/12.866308
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