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International Conference on Fuzzy Systems and Knowledge Discovery

FSKD 2006: Fuzzy Systems and Knowledge Discovery pp 324–333Cite as

Fuzzy Topological Relations Between Fuzzy Spatial Objects

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Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 4223))

Abstract

Fuzziness is an internal property of spatial objects. How to model fuzziness of a spatial object is a main task of next generation GIS. This paper proposes basic fuzzy spatial object types based on fuzzy topology. These object types are the natural extension of current non-fuzzy spatial object types. A fuzzy cell complex structure is defined for modeling fuzzy regions, lines and points. Furthermore, fuzzy topological relations between these fuzzy spatial objects are formalized based on the 9-intersection approach. This model can be implemented for GIS applications due to its scientific theory basis.

This research is funded by Natural Science Foundation of China (Project No. 40571127) and Key Laboratory of Geo-informatics of SBSM, Chinese Academy of Surveying and Mapping.

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Author information

Authors and Affiliations

  1. Key Laboratory of Geo-informatics of State Bureau of Surveying and Mapping, Chinese Academy of Surveying and Mapping, 16 Beitaiping Rd., Haidian Dist, Beijing, 100039, China

    Xinming Tang

  2. Institute of Remote Sensing and Geographic Information System, Peking University, Beijing, 100871, China

    Yu Fang

  3. Cartography and Geoinformation, Department of Geography and Regional Research, University of Vienna, Universitätsstrasse 7, A-1010, Vienna, Austria

    Wolfgang Kainz

Authors
  1. Xinming Tang
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  2. Yu Fang
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  3. Wolfgang Kainz
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Editor information

Editors and Affiliations

  1. School of Electrical and Electronic Engineering, Nanyang Technological University,, Block S1, Nanyang Avenue, 639798, Singapore

    Lipo Wang

  2. Life Science Research Center, School of Electronic Engineering, Xidian University,, 710071, Xi’an, Shaanxi, China

    Licheng Jiao

  3. School of Electrical and Electronic Engineering, Xidian University, 710071, Xi’an, China

    Guanming Shi

  4. School of Information Technology and Electrical Engineering, The University of Queensland, 4072, Brisbane, Queensland, Australia

    Xue Li

  5. College of Mathematics and Information Science, Hebei Normal University, 050016, Shijiazhuang, Hebei, P.R. China

    Jing Liu

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© 2006 Springer-Verlag Berlin Heidelberg

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Cite this paper

Tang, X., Fang, Y., Kainz, W. (2006). Fuzzy Topological Relations Between Fuzzy Spatial Objects. In: Wang, L., Jiao, L., Shi, G., Li, X., Liu, J. (eds) Fuzzy Systems and Knowledge Discovery. FSKD 2006. Lecture Notes in Computer Science(), vol 4223. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11881599_37

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  • DOI: https://doi.org/10.1007/11881599_37

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-45916-3

  • Online ISBN: 978-3-540-45917-0

  • eBook Packages: Computer ScienceComputer Science (R0)

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