利用奇异值和虚假度的证据组合方法

doi:10.13190/j.jbupt.2017-057

北京邮电大学学报 ›› 2018, Vol. 41 ›› Issue (1): 95-102.doi: 10.13190/j.jbupt.2017-057

利用奇异值和虚假度的证据组合方法

薛大为^1,2, 王永², 高康凯²

1. 蚌埠学院电子与电气工程学院, 安徽蚌埠 233030;
2. 中国科学技术大学信息科学技术学院, 合肥 230027

收稿日期:2017-04-14 出版日期:2018-02-28 发布日期:2018-01-04
作者简介:薛大为(1976-),男,副教授,E-mail:bbxuedawei@163.com.
基金资助:
国家自然科学基金项目（61573332）；中央高校基本科研业务费专项资金项目（WK2100100017）

Evidence Combination Method Based on Singular Value and Falsity

XUE Da-wei^1,2, WANG Yong², GAO Kang-kai²

1. School of Electronics and Electrical Engineering, Anhui Bengbu University, Anhui Bengbu 233030, China;
2. School of Information Science and Technology, University of Science and Technology of China, Hefei 230027, China

Received:2017-04-14 Online:2018-02-28 Published:2018-01-04

摘要/Abstract

摘要： 针对现有的修正证据源方法多从单一的角度对证据进行评价，存在一定不足的问题，提出了一种基于奇异值和虚假度的证据组合新方法.首先，利用证据的基本概率分配（BPA）矩阵最小奇异值来衡量两两证据之间的冲突，并以此为基础定义了证据的可信度；接着引入证据虚假度对可信度进行修正，进而生成证据权重；再利用分配的权重对各证据BPA进行加权平均；最后通过Dempster组合规则对加权平均后的BPA进行合成.数值算例结果表明，该方法能够有效地对冲突证据进行组合，且具有更快的收敛速度和更好的聚焦效果.

关键词: 证据理论, 证据组合, 证据冲突, 奇异值, 虚假度

Abstract: Most researchers think that modifying evidence source based methods are more reasonable to deal with the problem of conflicting evidence combination. However, most existing methods of modifying evidence source, which generally evaluate the evidence from single angle, have some deficiencies. To resolve such a problem, a new evidence combination method based on singular value and falsity is proposed. Firstly, conflict between two evidences is measured by the minimum singular value of the matrix composed of basic probability assignment (BPA) corresponding to two evidences, on the basis of which the definition of credibility of evidence is presented. Then, the weights which are used to average BPAs of evidences are produced by modifying the credibility with the falsity of evidences. Finally, the weighted average of BPAs is fused by Dempster's rule of combination. The numerical examples illustrate that the presented method can combine conflicting evidences effectively, and has faster convergence speed and better focusing degree than some existing methods.

Key words: evidence theory, evidence combination, evidence conflict, singular value, falsity

中图分类号:

TP274

薛大为, 王永, 高康凯. 利用奇异值和虚假度的证据组合方法[J]. 北京邮电大学学报, 2018, 41(1): 95-102.

XUE Da-wei, WANG Yong, GAO Kang-kai. Evidence Combination Method Based on Singular Value and Falsity[J]. JOURNAL OF BEIJING UNIVERSITY OF POSTS AND TELECOM, 2018, 41(1): 95-102.

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利用奇异值和虚假度的证据组合方法

Evidence Combination Method Based on Singular Value and Falsity

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