Online Spatio-Temporal Fuzzy Relations

The democratization of localization sensors allows to get the coordinates of mobile entities at a cheap cost but with a variable precision. Mobile devices are almost all equipped with such sensors and it is now possible to locate humans, animals or vehicles in order to monitor their activities.In this paper, we present fuzzy online relations which allow to describe some behaviors of a mobile entity from its coordinates and regarding a spatial region described as a crisp or a fuzzy geometry. Those operators are used within a fuzzy expert system in order to make decisions like yielding alerts, summarizing activities or assessing performance measures, regarding the behavior of localized entities.