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Proceedings Paper

Topological matrices for topological relations between fuzzy regions
Author(s): Xinming Tang; Yu Fang; Wolfgang Kainz
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Paper Abstract

Topological relations are one of the most important aspects in GIS modeling. The topological relations between crisp spatial objects have been well identified. However, the topological relations between fuzzy spatial objects need more investigation. This paper discusses different definitions in fuzzy boundary and their differences and relations. One of the definitions is then selected as the fuzzy boundary for GIS. In order to identify the topological relations between fuzzy spatial objects, three intersection matrices, namely 3*3-intersection matrix, 4*4-intersection matrix and 5*5-intersection matrix, are proposed and formalized in a fuzzy topological space. These matrices are all applicable for identification of topological relations between fuzzy spatial objects. 152 topological relations between two simple fuzzy regions are identified based on the 4×4-intersection approach in R2.

Paper Details

Date Published: 2 December 2005
PDF: 12 pages
Proc. SPIE 6045, MIPPR 2005: Geospatial Information, Data Mining, and Applications, 604524 (2 December 2005); doi: 10.1117/12.651396
Show Author Affiliations
Xinming Tang, Peking Univ. (China)
Chinese Academy of Surveying and Mapping (China)
Yu Fang, Peking Univ. (China)
Wolfgang Kainz, Univ. of Vienna (Austria)


Published in SPIE Proceedings Vol. 6045:
MIPPR 2005: Geospatial Information, Data Mining, and Applications
Jianya Gong; Qing Zhu; Yaolin Liu; Shuliang Wang, Editor(s)

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