Fuzzy topological relations between fuzzy spatial objects

Authors:
Xinming Tang;Yu Fang;Wolfgang Kainz
Affiliations:
Key Laboratory of Geo-informatics of State Bureau of Surveying and Mapping, Chinese Academy of Surveying and Mapping, Beijing, China;Institute of Remote Sensing and Geographic Information System, Peking University, Beijing, China;Cartography and Geoinformation, Department of Geography and Regional Research, University of Vienna, Vienna, Austria
Venue:
FSKD'06 Proceedings of the Third international conference on Fuzzy Systems and Knowledge Discovery
Year:
2006

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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.