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信任函数逼近方法的改进
引用本文:黄林颖,吴根秀,万宇文,李玮.信任函数逼近方法的改进[J].江西师范大学学报(自然科学版),2006,30(1):58-62.
作者姓名:黄林颖  吴根秀  万宇文  李玮
作者单位:1. 江西师范大学,计算机信息工程学院,江西,南昌,330027
2. 江西师范大学,数学与信息科学学院,江西,南昌,330027
基金项目:中国科学院资助项目;江西省自然科学基金;江西省教育厅科研项目
摘    要:信任函数的逼近可使得不确定性推理理论得以实际应用,该文讨论了D-S证据理论中信任函数逼近的几种方法,分析了它们各自的优缺点,并通过对概括逼近、双逼近和内外聚类逼近的研究,提出了两种新的逼近方法,既满足最佳逼近基本条件要求又考虑了精度要求和计算时间.

关 键 词:证据理论  概括逼近  双逼近  内外聚类逼近
文章编号:1000-5862(2006)01-0058-05
收稿时间:2005-10-12
修稿时间:2005-10-12

The Improvement of Belief Function's Approximations
HUANG Lin-ying,WU Gen-xiu,WAN Yu-wen,LI Wei.The Improvement of Belief Function''''s Approximations[J].Journal of Jiangxi Normal University (Natural Sciences Edition),2006,30(1):58-62.
Authors:HUANG Lin-ying  WU Gen-xiu  WAN Yu-wen  LI Wei
Institution:1. College of Computer Information and Engineering, Jiangxi Normal University, Nanchang 330027, China; 2, Institute of Matematics and Infonnatics, Jiangxi Normal University, Nanchang 330027, China
Abstract:The approximation of Belief function will make various theories about imprecise probabilities into practice.This article comes up with several kinds of approxiations of Belief function in the D-S theory and discusses the advantage and disadvantage about these approximations.Researching for Summarization,Pair approximation and Inner and Outer clustering approximation,two new approximations are proposed.The two methods satisfied the basic condition of optimal approximation and consider the require of accuracy and time cost.
Keywords:evidence theory  pair approximation  summarization  inner and outer clustering
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