Indeterminate direction relation model based on fuzzy description framework  

作　　者：LIU YaoLin1,HE JianHua1,YU Yan2 & TANG XinMing3 1 School of Resource and Environment Science,Wuhan University,Wuhan 430079,China 2 School of Resource and Environment Engineer,Wuhan University of Technology,Wuhan 430070,China 3 Chinese Academy of Surveying and Mapping,Beijing 10083,China 

出　　处：《Science China(Technological Sciences)》2008年第S1期72-80,共9页中国科学（技术科学英文版）

基　　金：the National Natural Science Foundation of China (Grant Nos. 40701143, 40701145 and 40571127)

摘　　要：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 for-malized 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.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 for-malized 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.

关 键 词：direction RELATION FUZZY DESCRIPTION FRAMEWORK FUZZY REPRESENTATION model uncertainty 

分 类 号：P208[天文地球—地图制图学与地理信息工程]