An Improved Data Fusion Method Based on Weighted Belief Entropy considering the Negation of Basic Probability Assignment

Uncertainty in data fusion applications has received great attention. Due to the effectiveness and flexibility in handling uncertainty, Dempster–Shafer evidence theory is widely used in numerous fields of data fusion. However, Dempster–Shafer evidence theory cannot be used directly for conflicting s...

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Main Authors: Yong Chen, Yongchuan Tang, Yan Lei
Format: Article
Language:English
Published: Wiley 2020-01-01
Series:Journal of Mathematics
Online Access:http://dx.doi.org/10.1155/2020/1594967
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author Yong Chen
Yongchuan Tang
Yan Lei
author_facet Yong Chen
Yongchuan Tang
Yan Lei
author_sort Yong Chen
collection DOAJ
description Uncertainty in data fusion applications has received great attention. Due to the effectiveness and flexibility in handling uncertainty, Dempster–Shafer evidence theory is widely used in numerous fields of data fusion. However, Dempster–Shafer evidence theory cannot be used directly for conflicting sensor data fusion since counterintuitive results may be attained. In order to handle this issue, a new method for data fusion based on weighted belief entropy and the negation of basic probability assignment (BPA) is proposed. First, the negation of BPA is applied to represent the information in a novel view. Then, by measuring the uncertainty of the evidence, the weighted belief entropy is adopted to indicate the relative importance of evidence. Finally, the ultimate weight of each body of evidence is applied to adjust the mass function before fusing by the Dempster combination rule. The validity of the proposed method is demonstrated in accordance with an experiment on artificial data and an application on fault diagnosis.
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spelling doaj-art-e09f3f79ef224a95a3eec510f3d4333c2025-08-20T02:21:30ZengWileyJournal of Mathematics2314-46292314-47852020-01-01202010.1155/2020/15949671594967An Improved Data Fusion Method Based on Weighted Belief Entropy considering the Negation of Basic Probability AssignmentYong Chen0Yongchuan Tang1Yan Lei2School 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, ChinaUncertainty in data fusion applications has received great attention. Due to the effectiveness and flexibility in handling uncertainty, Dempster–Shafer evidence theory is widely used in numerous fields of data fusion. However, Dempster–Shafer evidence theory cannot be used directly for conflicting sensor data fusion since counterintuitive results may be attained. In order to handle this issue, a new method for data fusion based on weighted belief entropy and the negation of basic probability assignment (BPA) is proposed. First, the negation of BPA is applied to represent the information in a novel view. Then, by measuring the uncertainty of the evidence, the weighted belief entropy is adopted to indicate the relative importance of evidence. Finally, the ultimate weight of each body of evidence is applied to adjust the mass function before fusing by the Dempster combination rule. The validity of the proposed method is demonstrated in accordance with an experiment on artificial data and an application on fault diagnosis.http://dx.doi.org/10.1155/2020/1594967
spellingShingle Yong Chen
Yongchuan Tang
Yan Lei
An Improved Data Fusion Method Based on Weighted Belief Entropy considering the Negation of Basic Probability Assignment
Journal of Mathematics
title An Improved Data Fusion Method Based on Weighted Belief Entropy considering the Negation of Basic Probability Assignment
title_full An Improved Data Fusion Method Based on Weighted Belief Entropy considering the Negation of Basic Probability Assignment
title_fullStr An Improved Data Fusion Method Based on Weighted Belief Entropy considering the Negation of Basic Probability Assignment
title_full_unstemmed An Improved Data Fusion Method Based on Weighted Belief Entropy considering the Negation of Basic Probability Assignment
title_short An Improved Data Fusion Method Based on Weighted Belief Entropy considering the Negation of Basic Probability Assignment
title_sort improved data fusion method based on weighted belief entropy considering the negation of basic probability assignment
url http://dx.doi.org/10.1155/2020/1594967
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