Indeterminate direction relation model based on fuzzy description framework

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Abstract

The indetermination of direction relation is a hot topic for fuzzy GIS researchers. The existing models only study the effects of indetermination of spatial objects, but ignore the uncertainty of direction reference framework. In this paper, first a formalized representation model of indeterminate spatial objects is designed based on quadruple (x, y, A, μ), then a fuzzy direction reference framework is constructed by revising the cone method, in which the partitions of direction tiles are smooth and continuous, and two neighboring sections are overlapped in the transitional zones with fuzzy method. Grounded on these, a fuzzy description model for indeterminate direction relation is proposed in which the uncertainty of all three parts (source object, reference object and reference frame) is taken into account simultaneously. In the end, case studies are implemented to test the rationality and validity of the model.

Key words

direction relation fuzzy description framework fuzzy representation model uncertainty 
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Copyright information

© Science in China Press and Springer-Verlag GmbH 2008

Authors and Affiliations

  1. 1.School of Resource and Environment ScienceWuhan UniversityWuhanChina
  2. 2.School of Resource and Environment EngineerWuhan University of TechnologyWuhanChina
  3. 3.Chinese Academy of Surveying and MappingBeijingChina

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