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Uncertainty representation of ocean fronts based on fuzzy-rough set theory
Authors:Cunjin Xue  Chenghu Zhou  Fenzhen Su  Dandan Zhang
Affiliation:1. The Marine GIS's Center of State Key Laboratory of Resources and Environment Information System,Chinese Academy of Sciences, Beijing 100101, P. R. China;Graduate School of the Chinese Academy of Sciences, Beijing 100039, P. R. China
2. The Marine GIS's Center of State Key Laboratory of Resources and Environment Information System,Chinese Academy of Sciences, Beijing 100101, P. R. China
3. The Marine GIS's Center of State Key Laboratory of Resources and Environment Information System,The Marine GIS's Center Chinese Academy of Sciences, Beijing 100101, P. R. China;Graduate School of the Chinese Academy of Sciences, Beijing 100039, P. R. China
Abstract:Analysis of ocean fronts' uncertainties indicates that they result from indiseemibility of their spatial position and fuzzi-ness of their intensity. In view of this, a flow hierarchy for uncertainty representation of ocean fronts is proposed on the basis of fuzzy-rough set theory. Firstly, raster scanning and blurring are carried out on an ocean front, and the upper and lower approximate sets, the indiscernible relation in fuzzy-rough theories and related operators in fuzzy set theories are adopted to represent its uncer-tainties, then they are classified into three sets: with members one hundred pereent belonging to the ocean front, belonging to the ocean front's edge and definitely not belonging to the ocean front. Finally, the approximate precision and roughness degree are util-ized to evaluate the ocean front's degree of uncertainties and the precision of the representation. It has been proven that the method is not only capable of representing ocean fronts' uncertainties, but also provides a new theory and method for uncertainty representation of other oceanic phenomena.
Keywords:fuzzy-rough set  upper approximate sets  lower approximate sets  ocean fronts  uncertainties
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