广义证据理论的基本框架

邓勇 1; 4; 蒋雯 2; 韩德强 3

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广义证据理论的基本框架

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- 广义证据理论的基本框架
- Basic Frame of Generalized Evidence Theory
- 西安交通大学学报 2010年44卷第12期页码：119-124
- 作者机构：
  
  1. 西南大学计算机与信息科学学院,重庆,400715
  2. 上海交通大学电子信息与电气工程学院,上海,200240
- 作者简介：
- 基金信息：
  
  : 2010-05-29. 作者简介: 邓勇(1975-),男,教授,博士生导师. 基金项目:国家重点基础研究发展规划资助项目(2007CB311006);国家自然科学基金资助项目(60874105,60904099);教育部新世纪优秀人才支持计划资助项目(NCET-08-0345);上海市青年科技启明星计划资助项目(09QA1402900);重庆市自然科学基金资助项目(CSCT, 2010BA2003)
- DOI：
  中图分类号： TP391
- 网络首发：2010-12-10，
  
  纸质出版：2010
- 稿件说明：
移动端阅览
邓勇 1, 4, 蒋雯 2, 等. 广义证据理论的基本框架[J]. 西安交通大学学报, 2010,44(12):119-124.

Basic Frame of Generalized Evidence Theory[J]. 2010, 44(12): 119-124.
邓勇 1, 4, 蒋雯 2, 等. 广义证据理论的基本框架[J]. 西安交通大学学报, 2010,44(12):119-124. DOI：

Basic Frame of Generalized Evidence Theory[J]. 2010, 44(12): 119-124. DOI：

摘要

针对经典证据理论不能有效处理辨识框架不完整情况下的信息融合问题

提出了一种广义证据理论.新理论定义了广义基本概率指派函数

对空集的广义基本概率指派大小表明了支持辨识框架不完整命题的程度

提出了能够融合广义基本概率指派的广义组合规则

该组合规则是一个与空集基本概率指派相关的函数

同时满足交换律和结合律.广义证据理论是经典证据理论的推广

当空集赋值为零时

广义证据理论退化为经典的证据理论.用算例表明了所提出的广义证据理论的有效性.

Abstract

The basic assumption of classical Dempster-Shafer theory of evidence is that the frame of discernment is complete. However

the frame of discernment is often incomplete in real data fusion application systems. A generalized evidence theory(GET)is proposed to solve this problem in this paper. The generalized basic probability assignment(GBPA)is defined. The value assigned to the empty set shows the support degree to incomplete frame of discernment. A new combination rule

called generalized combination rule(GCR)

is proposed to handle evidence combination. It is shown that the proposed combination rule satisfies both commutative law and associative law. Another desirable property of the proposed GET is that it will be reduced as the classical evidence theory when the GBPA to empty set is zero. Some numerical examples are used to show the efficiency of the proposed GET.

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references

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