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Towards hybrid spatial reasoning

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Fuzzy Logic in Artificial Intelligence Towards Intelligent Systems (FLAI 1995)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 1188))

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Abstract

In this paper, we present an approach to hybrid spatial reasoning, i.e., combining qualitative and quantitative reasoning about space. The idea is to introduce linguistic variables for qualitative spatial reasoning and to associate these variables with fuzzy sets for quantitative spatial reasoning. We show how this approach can be applied to Allen's temporal logic, which can be used for spatial reasoning in a straightforward way.

This author has been supported by the University of Auckland Research Fund under the grant number A18/XXXXX/62090/F3414025.

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References

  1. J.F. Allen. Maintaining knowledge about temporal intervals. Communications of the ACM, 26:832–843, 1983.

    Google Scholar 

  2. C. Freksa. Qualitative spatial reasoning. In Proc. Workshop RAUM, pages 21–36, Koblenz, Germany, 1990.

    Google Scholar 

  3. C. Freksa. Temporal reasoning based on semi-intervals. Artificial Intelligence, 54:199–227, 1992.

    Google Scholar 

  4. H.W. Guesgen and J. Hertzberg. A constraint-based approach to spatiotemporal reasoning. Applied Intelligence (Special Issue on Applications of Temporal Models), 3:71–90, 1993.

    Google Scholar 

  5. H.W. Guesgen, J. Hertzberg, and A. Philpott. Towards implementing fuzzy Allen relations. In Proc. ECAI-94 Workshop on Spatial and Temporal Reasoning, pages 49–55, Amsterdam, The Netherlands, 1994.

    Google Scholar 

  6. D. Hernández. Relative representation of spatial knowledge: The 2-D case. In D.M. Mark and A.U. Frank, editors, Cognitive and Linguistic Aspects of Geographic Space, NATO Advanced Studies Institute Series, pages 373–385. Kluwer, Dordrecht, The Netherlands, 1991.

    Google Scholar 

  7. D. Hernández. Qualitative Representation of Spatial Knowledge. Lecture Notes in Artificial Intelligence 804. Springer, Berlin, Germany, 1994.

    Google Scholar 

  8. A. Mukerjee and G. Joe. A qualitative model for space. In Proc. AAAI-90, pages 721–727, Boston, Massachusetts, 1990.

    Google Scholar 

  9. L.A. Zadeh. Fuzzy sets. Information and Control, 8:338–353, 1965.

    Google Scholar 

  10. L.A. Zadeh. The concept of a linguistic variable and its application to approximate reasoning—I. Information Sciences, 8:199–249, 1975.

    Google Scholar 

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Trevor P. Martin Anca L. Ralescu

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© 1997 Springer-Verlag Berlin Heidelberg

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Guesgen, H.W. (1997). Towards hybrid spatial reasoning. In: Martin, T.P., Ralescu, A.L. (eds) Fuzzy Logic in Artificial Intelligence Towards Intelligent Systems. FLAI 1995. Lecture Notes in Computer Science, vol 1188. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-62474-0_15

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  • DOI: https://doi.org/10.1007/3-540-62474-0_15

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-62474-5

  • Online ISBN: 978-3-540-49732-5

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