Abstract
When the time span of an event is imprecise, it can be represented by a fuzzy set, called a fuzzy time interval. In this paper we propose a representation for 13 relations that can hold between intervals. Since our model is based on fuzzy orderings of time points, it is not only suitable to express precise relationships between imprecise events (“the mid 1930’s came before the late 1930’s) but also imprecise relationships (“the late 1930’s came long before the early 1990’s). Furthermore we show that our model preserves many of the properties of the 13 relations Allen introduced for crisp time intervals.
This is a preview of subscription content, log in via an institution to check access.
Preview
Unable to display preview. Download preview PDF.
Similar content being viewed by others
References
Allen, J.F.: Maintaining Knowledge about Temporal Intervals. Communications of the ACM 26(11), 832–843 (1983)
Dubois, D., Prade, H.: Processing Fuzzy Temporal Knowledge. IEEE Transactions on Systems, Man, and Cybernetics 19(4), 729–744 (1989)
Schockaert, S., De Cock, M., Cornelis, C.: Relatedness of Fuzzy Sets. To appear in: Journal of Intelligent and Fuzzy Systems
Nagypál, G., Motik, B.: A Fuzzy Model for Representing Uncertain, Subjective and Vague Temporal Knowledge in Ontologies. In: Meersman, R., Tari, Z., Schmidt, D.C. (eds.) CoopIS 2003, DOA 2003, and ODBASE 2003. LNCS, vol. 2888, pp. 906–923. Springer, Heidelberg (2003)
Ohlbach, H.J.: Relations Between Fuzzy Time Intervals. In: Proc. of the 11th Int. Symp. on Temporal Representation and Reasoning, pp. 44–51 (2004)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2006 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Schockaert, S., De Cock, M., Kerre, E.E. (2006). Imprecise Temporal Interval Relations. In: Bloch, I., Petrosino, A., Tettamanzi, A.G.B. (eds) Fuzzy Logic and Applications. WILF 2005. Lecture Notes in Computer Science(), vol 3849. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11676935_13
Download citation
DOI: https://doi.org/10.1007/11676935_13
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-32529-1
Online ISBN: 978-3-540-32530-7
eBook Packages: Computer ScienceComputer Science (R0)