An Algebra of Granular Temporal Relations for Qualitative Reasoning

For instance, within the time relations, one can say that an interval A meets another interval B at a coarse granularity In this paper, we propose a qualitative formalism (i.e., looking at it with a general point of view), but for representing and reasoning about time at different that A is before B at a fine granularity (i.e., with a closer point scales. It extends the algebra of Euzenat [2001] of view). The usual algebras cannot process this knowledge and overcomes its major limitations, allowing one without leading to an inconsistency. To solve this problem, to reason about relations between points and intervals. Euzenat has proposed a granular extension of the point algebra Our approach is more expressive than of Vilain et al. and one of Allen's interval algebra [Euzenat, the other algebras of temporal relations: for instance, 2001], each one providing a table describing how relations some relations are more relaxed than those change when considered at a finer granularity (downward in Allen's [1983] algebra, while others are stricter.