不确定性对象表达及其时空拓扑研究

Representation of Uncertain Objects and Research on Their Spatio-temporal Topologies

不确定性对象时空拓扑关系研究的滞后,严重制约了时空推理与分析的进展。文中分析了时空对象空间信息与时间信息不确定性,并引入Rough集理论的上、下近似集概念对不确定性对象进行表达。另外,根据时空对象空间与时间信息的确定性与否,把时空对象归纳为4种类型,时空对象间的时空拓扑描述框架归纳为10种。再是,基于点集理论、Egenhofer的空间拓扑与舒红的时态拓扑关系研究成果,给出4-交扩展模型的时空拓扑描述框架,并得出类型I对象间的时空拓扑是最基本的拓扑关系,类型IV对象间的拓扑关系是最复杂的拓扑关系,其他类型对象间的时空拓扑都可通过类型对象I间的和类型对象IV间的时空拓扑演绎而得。最后,鉴于不确定性对象时空拓扑的复杂性,给出不确定性拓扑描述表达的流程体系。

Lags of researches on spatio-temporal topologies have seriously and analysis. In this paper, uncertainties of space and time are discussed mate sets in rough sets theories are adopted to represent uncertain spatio-te restricted the spatio-temporal reasoning firstly, and an upper and lower approxi- mporal objects. Then according to uncer- tainties of space and time,4 kinds of spatio-temporal objects are induced, and 10 kinds of topological frameworks between them are addressed. And based on the point-set theories, the Egenhofer＇s spatial topologies and the Shuhong＇s temporal topologies, a uniform description frame of spatio-temporal topologies expanded from the 4-inter- section model is given. Furthermore, conclusions that topologies between type （Ⅰ） and type （Ⅰ） is the most basic spatio-temporal topologies, and that topologies between type （Ⅳ ） and type （ Ⅳ ） is the most complex ones, and that others can be inferred from them are drawn. Finally, in views of complexities of uncertain spatio-temporal topolo- gies, a universal flow of them is presented.