In Spatial Cognition and Computation, Volume 3, Number 2 and 3, 2003
(Special Issue on Spatial Vagueness, Uncertainty and Granularity, edited by Brandon Bennett and Matteo Cristani), pages 97-118.
ISSN 1387-5868
Abstract. We investigate the effect of granulation on the spatial attributes of regions it is applied to. An informal illustrative treatment, using a single specific granulation and a variety of regions illustrating some key spatial attributes, is followed by a more rigorous theoretical development in which granulations are defined in terms of equivalence relations on the source space. It is found that many spatial attributes are both-ways granularity-sensitive, meaning that the attributes may be gained by some regions, but lost by others, under the same granulation.