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Fuzzy topological relations between fuzzy spatial objects 被引量:2

Fuzzy topological relations between fuzzy spatial objects
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摘要 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. 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.
出处 《测绘科学》 CSCD 北大核心 2006年第S1期64-68,共5页 Science of Surveying and Mapping
关键词 GIS FUZZY TOPOLOGICAL RELATIONS FUZZY SPATIAL OBJECTS GIS fuzzy topological relations fuzzy spatial objects
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参考文献4

  • 1Wong,C.K.Fuzzy Points and Local Properties ofFuzzy Topology[].Journal of Mathematical Analysis andApplications.1974
  • 2Munkres,J.R.Elements of Algebraic Topology[]..1984
  • 3Chang,C.L.Fuzzy Topological Space[].Journal ofMathematical Analysis and Applications.1968
  • 4Hatcher,A.Algebraic Topology[]..2002

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