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General entropy model of line segments uncertainty in GIS
Authors:Yufeng Shi  Wenzhong Shi
Institution:1. School of Architecture Engineering , Shandong University of Technology , Zibo , China;2. Key Laboratory of Geospace Environment and Geodesy, Ministry of Education , Wuhan University , Wuhan , China
Abstract:Spatial data uncertainty can directly affect the quality of digital products and GIS-based decision making. On the basis of the characteristics of randomicity of positional data and fuzziness of attribute data, taking entropy as a measure, the stochastic entropy model of positional data uncertainty and fuzzy entropy model of attribute data uncertainty are proposed. As both randomicity and fuzziness usually simultaneously exist in linear segments, their omnibus effects are also investigated and quantified. A novel uncertainty measure, general entropy, is presented. The general entropy can be used as a uniform measure to quantify the total uncertainty caused by stochastic uncertainty and fuzzy uncertainty in GIS.
Keywords:uncertainty  line segment  general entropy  stochastic entropy  fuzzy entropy  uniform measure
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