Abstract
In this paper we briefly introduce the basics of a proposed temporal set theory together with the associated tropology. In this theory, sets and attributes are expressed as functions over time, and we suggest how temporal attributes in general, and spatiotemporal attributes in particular, can be implemented based on this theory.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
J. F. Allen. Maintaining knowledge about temporal intervals. Communications of the ACM, 26(11), November 1983.
J. F. Allen. Towards a general theory of action and time. Artificial lnteligence, 23(2), 1984.
J. Clifford and A. Croker. The historical relational data model (HRDM) and algebra based on lifespans. In Proceedings, Third International Conference on Data Engineering, 1987.
M. Erwig, R. H. Giiting, M. Schneider, and M. Vazirgiannis. Spatio-temporal data types: An approach to modeling and querying moving objects in databases. Technical Report 224, FernUniversität Gesamthochschule in Hagen, 1997.
K. Hornsby and M. J. Egenhofer. Qualitative representation of change. Lecture Notes in Computer Science, 1329: 15–33, 1997.
C. S. Jensen, J. Clifford, R. Elmasri, S. K. Gadia, P. Hayes, S. Jajodia, C. Dyreson, F. Grandi, W. Kafer, N. Kline, N. Lorentzos, Y. Mitsopoulos, A. Montanan, D. Nonen, E. Peressi, B. Pernici, J. F. Roddick, N. L. Sarda, M. R. Scalas, A. Segev, R. T. Snodgrass, M. D. Soo, A. Tansel, P. Tiberio, and G. Wiederhold. A consensus glossary of temporal database concepts. SIGMOD Record (ACM Special Interest Group on Management of Data), 23 (1): 5264, March 1994.
J.-B. Lagorce, A. Stockus, and E. Waller. Object-oriented database evolution. In F. N. Afrati and P. Kolaitis, editors, Database Theory—ICDT’97, 6th International Conference, volume 1186 of Lecture Notes in Computer Science, pages 379–393, Delphi, Greece, January 1997. Springer.
E. Rose and A. Segev. TOOSQL: A temporal object-oriented query language. Lecture Notes in Computer Science, 823: 122–136, 1993.
A. Steiner and M. C. Norrie. A temporal extension to a generic object data model. Technical report, TimeCenter, May 1997. TR-15.
M. F. Worboys. A model for spatio-temporal information. In 5th International Symposium on Spatial Data Handling, pages 602–611. IGU Commision on GIS, 1992.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1999 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Renolen, A. (1999). The Temporal Set-Theory, Tropology and Their Application in Spatiotemporal Modelling. In: Kambayashi, Y., Lee, D.L., Lim, EP., Mohania, M.K., Masunaga, Y. (eds) Advances in Database Technologies. ER 1998. Lecture Notes in Computer Science, vol 1552. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-49121-7_41
Download citation
DOI: https://doi.org/10.1007/978-3-540-49121-7_41
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-65690-6
Online ISBN: 978-3-540-49121-7
eBook Packages: Springer Book Archive