Basic Frame of Generalized Evidence Theory

您当前的位置：

首页 >

文章列表页 >

Basic Frame of Generalized Evidence Theory

更新时间：2025-07-09

- Basic Frame of Generalized Evidence Theory
- Vol. 44, Issue 12, Pages: 119-124(2010)
- 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：
- DOI：
  CLC： TP391
- Online First：10 December 2010，
  
  Published：2010
- 稿件说明：
移动端阅览
Basic Frame of Generalized Evidence Theory[J]. 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.

关键词

Keywords

references

韩崇昭, 朱洪艳, 段战胜. 多源信息融合[M]. 北京:清华大学出版社, 2006.

SHAFER G. A mathematical theory of evidence[M]. NJ, USA:Princeton University Press, 1976.

VOORBRAAK F. Computationally efficient approximation of Dempster-Shafer theory[J].International Journal of Man-Machine Studies, 1989, 30(5): 525-536.

HAENNI R, LEHMANN N. Resource bounded and anytime approximation of belief function computations[J]. International Journal of Approximate Reasoning, 2002, 31(1/2): 103-154.

邓勇, 施文康, 朱振福. 一种有效处理冲突证据的组合规则[J]. 红外与毫米波学报, 2004, 23(1): 27-32.

DENG Yong, SHI Wenkang, ZHU Zhenfu. Efficient combination approach of conflict evidence [J]. Journal of Infrared and Millimeter Waves, 2004,23(1):27-32.

郭华伟, 施文康, 邓勇,等.证据冲突:丢弃,发现或化解?[J]. 系统工程与电子技术, 2007,29(6): 890-898.

GUO Huawei, SHI Wenkang, DENG Yong, et al. Evidential conflict and its 3D strategy: discard, discover and disassemble? [J]. Systems Engineering and Electronics, 2007,29(6):890-898.

SMETS P, KENNES R. The transferable belief model[J]. Artificial Intelligence, 1994, 66(3): 191-243.

SMARANDACHE F, DEZERT J. Applications and advances of DSmT for information fusion [M]. Rehoboth, USA: America Research Press, 2004.

YAGER R R. On the Dempster-Shafer framework and new combination rules [J]. Information Science, 1989, 41(2): 93-137.

LEFEVRE E, COLOT O, VANNOORENBERGHE P. Belief function combination and conflict management [J]. Information Fusion, 2002, 3(3): 149-162.

HAENNI R. Are alternatives to Dempster's rule of combination real alternatives: comments on “about the belief function combination and the conflict management problem”——Lefevre et al [J]. Information Fusion, 2002,3(4): 237-239.

LIU Weiru. Analyzing the degree of conflict among belief functions[J]. Artificial Intelligence, 2006, 170(11): 909-924.

Views

下载量

CSCD

Alert me when the article has been cited

提交

Tools

Publicity Resources

A Method to Generate Basic Belief Assignment Based on Clustering Analysis and Its Application

A Visibility Graph Information Fusion Method with Weighted Average

Sensitivity Analysis of Foil Geometrical Parameters for the Third-Generation CO2 Gas Foil Bearings Based on Design of Experiments Method

Review of the Application of EBSILON Software in Combined Heat and Power System Optimization

Integrated and Joint Design Optimization of Centrifugal Compressor Impeller and Casing Treatment at Multiple Working Points

Related Author

高智勇

董荣光

高建民

王荣喜

卫博雅

寿业航

蒋雯

Related Institution

State Key Laboratory for Manufacturing Systems Engineering, Xi'an Jiaotong University

School of Electronics and Information, Northwestern Polytechnical University

⁰