KEYWORDS: Binary data, Geographic information systems, Data modeling, Mathematics, Zoom lenses, Image processing, Pattern recognition, Current controlled current source, Calculus, Space operations
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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