Improved Base Belief Function-Based Conflict Data Fusion Approach Considering Belief Entropy in the Evidence Theory

Due to the nature of the Dempster combination rule, it may produce results contrary to intuition. Therefore, an improved method for conflict evidence fusion is proposed. In this paper, the belief entropy in D–S theory is used to measure the uncertainty in each evidence. First, the initial belief deg...

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Main Authors: Shuang Ni, Yan Lei, Yongchuan Tang
Format: Article
Language:English
Published: MDPI AG 2020-07-01
Series:Entropy
Subjects:
Online Access:https://www.mdpi.com/1099-4300/22/8/801
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spelling doaj-0daaa6d7d07b458b933f36f5ba4c5ced2020-11-25T02:48:06ZengMDPI AGEntropy1099-43002020-07-012280180110.3390/e22080801Improved Base Belief Function-Based Conflict Data Fusion Approach Considering Belief Entropy in the Evidence TheoryShuang Ni0Yan Lei1Yongchuan Tang2School of Big Data and Software Engineering, Chongqing University, Chongqing 401331, ChinaSchool of Big Data and Software Engineering, Chongqing University, Chongqing 401331, ChinaSchool of Big Data and Software Engineering, Chongqing University, Chongqing 401331, ChinaDue to the nature of the Dempster combination rule, it may produce results contrary to intuition. Therefore, an improved method for conflict evidence fusion is proposed. In this paper, the belief entropy in D–S theory is used to measure the uncertainty in each evidence. First, the initial belief degree is constructed by using an improved base belief function. Then, the information volume of each evidence group is obtained through calculating the belief entropy which can modify the belief degree to get the final evidence that is more reasonable. Using the Dempster combination rule can get the final result after evidence modification, which is helpful to solve the conflict data fusion problems. The rationality and validity of the proposed method are verified by numerical examples and applications of the proposed method in a classification data set.https://www.mdpi.com/1099-4300/22/8/801Dempster-Shafer theorycoflict data fusionimproved base belief functioninformation volumebelief entropy
collection DOAJ
language English
format Article
sources DOAJ
author Shuang Ni
Yan Lei
Yongchuan Tang
spellingShingle Shuang Ni
Yan Lei
Yongchuan Tang
Improved Base Belief Function-Based Conflict Data Fusion Approach Considering Belief Entropy in the Evidence Theory
Entropy
Dempster-Shafer theory
coflict data fusion
improved base belief function
information volume
belief entropy
author_facet Shuang Ni
Yan Lei
Yongchuan Tang
author_sort Shuang Ni
title Improved Base Belief Function-Based Conflict Data Fusion Approach Considering Belief Entropy in the Evidence Theory
title_short Improved Base Belief Function-Based Conflict Data Fusion Approach Considering Belief Entropy in the Evidence Theory
title_full Improved Base Belief Function-Based Conflict Data Fusion Approach Considering Belief Entropy in the Evidence Theory
title_fullStr Improved Base Belief Function-Based Conflict Data Fusion Approach Considering Belief Entropy in the Evidence Theory
title_full_unstemmed Improved Base Belief Function-Based Conflict Data Fusion Approach Considering Belief Entropy in the Evidence Theory
title_sort improved base belief function-based conflict data fusion approach considering belief entropy in the evidence theory
publisher MDPI AG
series Entropy
issn 1099-4300
publishDate 2020-07-01
description Due to the nature of the Dempster combination rule, it may produce results contrary to intuition. Therefore, an improved method for conflict evidence fusion is proposed. In this paper, the belief entropy in D–S theory is used to measure the uncertainty in each evidence. First, the initial belief degree is constructed by using an improved base belief function. Then, the information volume of each evidence group is obtained through calculating the belief entropy which can modify the belief degree to get the final evidence that is more reasonable. Using the Dempster combination rule can get the final result after evidence modification, which is helpful to solve the conflict data fusion problems. The rationality and validity of the proposed method are verified by numerical examples and applications of the proposed method in a classification data set.
topic Dempster-Shafer theory
coflict data fusion
improved base belief function
information volume
belief entropy
url https://www.mdpi.com/1099-4300/22/8/801
work_keys_str_mv AT shuangni improvedbasebelieffunctionbasedconflictdatafusionapproachconsideringbeliefentropyintheevidencetheory
AT yanlei improvedbasebelieffunctionbasedconflictdatafusionapproachconsideringbeliefentropyintheevidencetheory
AT yongchuantang improvedbasebelieffunctionbasedconflictdatafusionapproachconsideringbeliefentropyintheevidencetheory
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