Quantitative fuzzy topological relations of spatial objects by induced fuzzy topology

Kimfung Liu, Wen Zhong Shi

Research output: Journal article publicationJournal articleAcademic researchpeer-review

19 Citations (Scopus)


This paper presents a study on the modeling of fuzzy topological relations between uncertain objects in Geographic Information Systems (GIS). Based on the recently developed concept of computational fuzzy topological space, topological relations between simple fuzzy spatial objects are modeled. The fuzzy spatial objects here cover simple fuzzy region, simple fuzzy line segment and fuzzy point. To compute the topological relations between the simple spatial objects, intersection concepts and integration methods are applied and a computational 9-intersection model are proposed and developed. There are different types of intersection, and we have proposed different integration methods for computation in different cases. For example, surface integration method is applied to the case of the fuzzy region-to-fuzzy region relation, while the line integration method is used in the case of fuzzy line segment-to-fuzzy line segment relation. Moreover, this study has discovered that there are (a) sixteen topological relations between simple fuzzy region to line segment; (b) forty-six topological relations between simple fuzzy line segments; (c) three topological relations between simple fuzzy region to fuzzy point; and (d) three topological relations between simple fuzzy line segment to fuzzy point. Crown
Original languageEnglish
Pages (from-to)38-45
Number of pages8
JournalInternational Journal of Applied Earth Observation and Geoinformation
Issue number1
Publication statusPublished - 1 Feb 2009


  • Fuzzy topology
  • GIS
  • Integration
  • Spatial objects
  • Topological relations

ASJC Scopus subject areas

  • Global and Planetary Change
  • Earth-Surface Processes
  • Computers in Earth Sciences
  • Management, Monitoring, Policy and Law

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