Weighted evidence combination based on degree of credibility and certainty

To overcome the invalidation problem of Dempster rule with high conflict,a weighted combination method based on degree of credibility and certainty was proposed.Firstly,the cosine similarity was modified to hold the ability to measure the evidence conflict when multi-subset focal elements were inclu...

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Main Authors: Lu WANG, Qing-hua XING, Yi-fan MAO
Format: Article
Language:zho
Published: Editorial Department of Journal on Communications 2017-01-01
Series:Tongxin xuebao
Subjects:
Online Access:http://www.joconline.com.cn/zh/article/doi/10.11959/j.issn.1000-436x.2017010/
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author Lu WANG
Qing-hua XING
Yi-fan MAO
author_facet Lu WANG
Qing-hua XING
Yi-fan MAO
author_sort Lu WANG
collection DOAJ
description To overcome the invalidation problem of Dempster rule with high conflict,a weighted combination method based on degree of credibility and certainty was proposed.Firstly,the cosine similarity was modified to hold the ability to measure the evidence conflict when multi-subset focal elements were included,followed by the building of evidence credibility model.Secondly,the evidence certainty model based on precision and entropy was presented,which can both reflect the evidence’s degree of multi-subset focal elements and the dispersion degree of probability assignment.Then the weighted coefficient was determined by credibility and certainty.Finally,the normalized weighted coefficient was used to average the basic probability assignment,and the final combination result can be obtained according to Dempster rule.Numerical examples show that,compared with other traditional weighted combination methods,the proposed approach has made better performance in reducing conflict and accelerating convergence.
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institution Kabale University
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publisher Editorial Department of Journal on Communications
record_format Article
series Tongxin xuebao
spelling doaj-art-7c1d8b485db84e4885b951b1cc7f44d82025-01-14T07:11:27ZzhoEditorial Department of Journal on CommunicationsTongxin xuebao1000-436X2017-01-0138838859706611Weighted evidence combination based on degree of credibility and certaintyLu WANGQing-hua XINGYi-fan MAOTo overcome the invalidation problem of Dempster rule with high conflict,a weighted combination method based on degree of credibility and certainty was proposed.Firstly,the cosine similarity was modified to hold the ability to measure the evidence conflict when multi-subset focal elements were included,followed by the building of evidence credibility model.Secondly,the evidence certainty model based on precision and entropy was presented,which can both reflect the evidence’s degree of multi-subset focal elements and the dispersion degree of probability assignment.Then the weighted coefficient was determined by credibility and certainty.Finally,the normalized weighted coefficient was used to average the basic probability assignment,and the final combination result can be obtained according to Dempster rule.Numerical examples show that,compared with other traditional weighted combination methods,the proposed approach has made better performance in reducing conflict and accelerating convergence.http://www.joconline.com.cn/zh/article/doi/10.11959/j.issn.1000-436x.2017010/combination of evidencescredibility degreecertainty degreeconflict measurementprecisionentropy
spellingShingle Lu WANG
Qing-hua XING
Yi-fan MAO
Weighted evidence combination based on degree of credibility and certainty
Tongxin xuebao
combination of evidences
credibility degree
certainty degree
conflict measurement
precision
entropy
title Weighted evidence combination based on degree of credibility and certainty
title_full Weighted evidence combination based on degree of credibility and certainty
title_fullStr Weighted evidence combination based on degree of credibility and certainty
title_full_unstemmed Weighted evidence combination based on degree of credibility and certainty
title_short Weighted evidence combination based on degree of credibility and certainty
title_sort weighted evidence combination based on degree of credibility and certainty
topic combination of evidences
credibility degree
certainty degree
conflict measurement
precision
entropy
url http://www.joconline.com.cn/zh/article/doi/10.11959/j.issn.1000-436x.2017010/
work_keys_str_mv AT luwang weightedevidencecombinationbasedondegreeofcredibilityandcertainty
AT qinghuaxing weightedevidencecombinationbasedondegreeofcredibilityandcertainty
AT yifanmao weightedevidencecombinationbasedondegreeofcredibilityandcertainty