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一种基于大焦元分解的信任函数逼近方法
引用本文:黄 梅,吴根秀,刘邱云,吴 恒,毛临川. 一种基于大焦元分解的信任函数逼近方法[J]. 江西师范大学学报(自然科学版), 2016, 40(3): 285-289
作者姓名:黄 梅  吴根秀  刘邱云  吴 恒  毛临川
作者单位:江西师范大学数学与信息科学学院,江西 南昌 330022
摘    要:针对证据合成提出一种基于大焦元分解的信任函数逼近方法,首先将基数过大的焦元进行分解,将焦元基数控制在不大于k的范围内,然后再按照改进的能量函数删减焦元,这样不仅减少焦元的个数,也控制了焦元基数,更优化了在证据合成时的计算复杂度,并且试验结果也表明了该方法的有效性.

关 键 词:D-S证据理论  基本概率赋值  能量函数  平均能量函数

The Approximation Method of Belief Function Based on Decomposing Large Focal Elements
HUANG Mei,WU Genxiu,LIU Qiuyun,WU Heng,MAO Linchuan. The Approximation Method of Belief Function Based on Decomposing Large Focal Elements[J]. Journal of Jiangxi Normal University (Natural Sciences Edition), 2016, 40(3): 285-289
Authors:HUANG Mei  WU Genxiu  LIU Qiuyun  WU Heng  MAO Linchuan
Affiliation:College of Mathematics and Informatics,Jiangxi Normal University,Nanchang Jiangxi 330022,China
Abstract:An improved method of belief function based on decomposing large focal elements is proposed for the theory of evidence.First,by decomposing the focal elements with big cardinality,the cardinality of focal elements are controlled within no more than en focal elements based on the improved energy function are reduced.So the improved method not only reduces the number of focal elements,but also controls the cardinality of focal elements,and optimizes the computational complexity,and the example analysis shows that the method takes on better effectiveness.
Keywords:D-S theory of evidence  basic probability assignment  energy function  the average energy function
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