New belief divergence measure based on cosine function in evidence theory and application to multisource information fusion

Abstract Multisource information fusion technology significantly benefits from using information across various sources for decision-making, particularly by leveraging evidence theory to manage uncertain information efficiently. Nonetheless, dealing with highly conflicting evidence presents a consid...

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Main Authors: Xiaoyang Liu, Cheng Xie, Zhe Liu, Sijia Zhu
Format: Article
Language:English
Published: Springer 2024-06-01
Series:Discover Applied Sciences
Subjects:
Online Access:https://doi.org/10.1007/s42452-024-06036-4
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author Xiaoyang Liu
Cheng Xie
Zhe Liu
Sijia Zhu
author_facet Xiaoyang Liu
Cheng Xie
Zhe Liu
Sijia Zhu
author_sort Xiaoyang Liu
collection DOAJ
description Abstract Multisource information fusion technology significantly benefits from using information across various sources for decision-making, particularly by leveraging evidence theory to manage uncertain information efficiently. Nonetheless, dealing with highly conflicting evidence presents a considerable challenge. To tackle this issue, this paper introduces a new belief divergence measure within the framework of evidence theory. The proposed measure, which incorporates the cosine function and pignistic probability transformation, is adept at quantifying the disparity between the evidences while maintaining key properties, such as boundedness, non-degeneracy and symmetry. Moreover, building upon the concepts of proposed belief divergence and belief entropy, this paper further proposes a new fusion method that employs a weighted evidence average prior to the application of Dempster’s rule. The performance of the proposed method is validated on several applications, and the results demonstrate its superior ability to absorb highly conflicting evidence compared with existing methods.
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institution Kabale University
issn 3004-9261
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publishDate 2024-06-01
publisher Springer
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spelling doaj-art-ca3c64463c794bae85c382b86f9d958a2025-01-12T12:35:16ZengSpringerDiscover Applied Sciences3004-92612024-06-016712110.1007/s42452-024-06036-4New belief divergence measure based on cosine function in evidence theory and application to multisource information fusionXiaoyang Liu0Cheng Xie1Zhe Liu2Sijia Zhu3School of Computer Science and Technology, Hainan UniversitySchool of Computer Science and Technology, Hainan UniversitySchool of Computer Sciences, Universiti Sains MalaysiaCw Chu College, Jiangsu Normal UniversityAbstract Multisource information fusion technology significantly benefits from using information across various sources for decision-making, particularly by leveraging evidence theory to manage uncertain information efficiently. Nonetheless, dealing with highly conflicting evidence presents a considerable challenge. To tackle this issue, this paper introduces a new belief divergence measure within the framework of evidence theory. The proposed measure, which incorporates the cosine function and pignistic probability transformation, is adept at quantifying the disparity between the evidences while maintaining key properties, such as boundedness, non-degeneracy and symmetry. Moreover, building upon the concepts of proposed belief divergence and belief entropy, this paper further proposes a new fusion method that employs a weighted evidence average prior to the application of Dempster’s rule. The performance of the proposed method is validated on several applications, and the results demonstrate its superior ability to absorb highly conflicting evidence compared with existing methods.https://doi.org/10.1007/s42452-024-06036-4Multisource information fusionDivergence measureCosine functionBasic probability assignmentEvidence theory
spellingShingle Xiaoyang Liu
Cheng Xie
Zhe Liu
Sijia Zhu
New belief divergence measure based on cosine function in evidence theory and application to multisource information fusion
Discover Applied Sciences
Multisource information fusion
Divergence measure
Cosine function
Basic probability assignment
Evidence theory
title New belief divergence measure based on cosine function in evidence theory and application to multisource information fusion
title_full New belief divergence measure based on cosine function in evidence theory and application to multisource information fusion
title_fullStr New belief divergence measure based on cosine function in evidence theory and application to multisource information fusion
title_full_unstemmed New belief divergence measure based on cosine function in evidence theory and application to multisource information fusion
title_short New belief divergence measure based on cosine function in evidence theory and application to multisource information fusion
title_sort new belief divergence measure based on cosine function in evidence theory and application to multisource information fusion
topic Multisource information fusion
Divergence measure
Cosine function
Basic probability assignment
Evidence theory
url https://doi.org/10.1007/s42452-024-06036-4
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AT chengxie newbeliefdivergencemeasurebasedoncosinefunctioninevidencetheoryandapplicationtomultisourceinformationfusion
AT zheliu newbeliefdivergencemeasurebasedoncosinefunctioninevidencetheoryandapplicationtomultisourceinformationfusion
AT sijiazhu newbeliefdivergencemeasurebasedoncosinefunctioninevidencetheoryandapplicationtomultisourceinformationfusion