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Temporal Relationships between Rough Time Intervals

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Computational Science and Its Applications – ICCSA 2009 (ICCSA 2009)

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Abstract

Time is a basic measure used to quantify the motions of objects, to compare the durations of events, and to sequence events. Temporal behaviors of spatial objects have occupied geoinformatic’s minds and this motivation can be seen in temporal GIS (Geospatial Information System) and navigation. This article focuses on a mathematical abstraction for calculating periods of time. Uncertainty in temporal intervals is considered and temporal relationships are defined based on rough set theory as a powerful device to handle the indeterminate time interval.

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References

  1. Allen, J.F.: Towards a general theory of actions and time. Artificial Intelligence, 23. Block, R. A Time and consciousness. In: Underwood, G., Stevens, R. (eds.) Aspects of Consciousness. Psychological Issues, vol. 1, Academic Press, London (1984)

    Google Scholar 

  2. Allen, J.F.: Maintaining Knowledge about Temporal Intervals. Communications of the ACM (1983)

    Google Scholar 

  3. Bassiri, A., Malek, M.R., Ali, A., Alesheikh: Rough spatio-temporal topological relationships, FLINS World Scientific, Computational Intelligence in Decision and Control (2008)

    Google Scholar 

  4. Cheng, T.S., Gadia, S.: A Pattern Matching Language for Spatio-Temporal Databases. In: Proc. Third Int’l Conf. Information and Knowledge Management, pp. 288–295 (1994)

    Google Scholar 

  5. Claramunti, C., Jianng, B.: A Representation of Relationships in Temporal Spaces (1996)

    Google Scholar 

  6. Claramunt, C., Jiang, B.: An integrated representation of spatial and temporal relationships between evolving regions. Journal of Geographical Systems 3(4), 411–428 (2001)

    Article  Google Scholar 

  7. DuBois, D., Prade, H.: Processing fuzzy temporal knowledge. IEEE Transactions on Systems, Man and Cybernetics 19, 729–744 (1989)

    Article  MathSciNet  Google Scholar 

  8. Huang, Z.: Proceedings of the Fourth International Conference on Fuzzy Systems and Knowledge Discovery (FSKD 2007), Environment, Tokyo Denki University, vol. 1, pp. 169–172 (2007)

    Google Scholar 

  9. Pawlak, Z., Polkowski, L., Komorowski, J.: Rough set: A tutorial. Warszawa, Poland (1991)

    Google Scholar 

  10. Rodabaugh, S.E.: Relationship of Algebraic Theories to Powerset Theories and Fuzzy Topological Theories for Lattice-Valued Mathematics, Department of Mathematics and Statistics, Youngstown State University, Youngstown 44555-3609, OH, USA (2006)

    Google Scholar 

  11. Setarehdan, S.K., Soraghan, J.J.: Automatic cardiac LV boundary detection and tracking using hybrid fuzzy temporal and fuzzy multiscale edge detection. IEEE Transactions on Biomedical Engineering 46, 1364–1378 (1999)

    Article  Google Scholar 

  12. Torres, A., Marin, M., Dpto, R.: With disjunctive fuzzy temporal constraint networks Bosch. In: Proceedings. Ninth International Symposium on Temporal Representation and Reasoning, pp. 36–43 (2002)

    Google Scholar 

  13. Worboys, M.F.: Imprecision in finite resolution spatial data. GeoInformatica (1998)

    Google Scholar 

  14. Zadeh, L.A.: The concept of a linguistic variable and its applications to approximate reasoning. Part I, Information Science. Information Science, Part II 8, 199–249, 301–357 (1975)

    Google Scholar 

  15. Zadeh, L.A.: Fuzzy sets as a basis for a theory of possibility. Fuzzy Sets and Systems (1978)

    Google Scholar 

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© 2009 Springer-Verlag Berlin Heidelberg

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Bassiri, A., Malek, M.R., Alesheikh, A.A., Amirian, P. (2009). Temporal Relationships between Rough Time Intervals. In: Gervasi, O., Taniar, D., Murgante, B., Laganà, A., Mun, Y., Gavrilova, M.L. (eds) Computational Science and Its Applications – ICCSA 2009. ICCSA 2009. Lecture Notes in Computer Science, vol 5592. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-02454-2_39

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  • DOI: https://doi.org/10.1007/978-3-642-02454-2_39

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-02453-5

  • Online ISBN: 978-3-642-02454-2

  • eBook Packages: Computer ScienceComputer Science (R0)

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