Evidence combination method based on Pignistic function transformation and correlation coefficient

The situation of high conflict between evidences and one ballot veto cannot be solved by classical D-S rule,and the results obtained from classical D-S rule are contrary to the facts.To solve this problem,a new standard to measure conflicts between evidences was proposed based on the combination of...

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Main Authors: Xiaoping YANG, Weijian LIAN, Mengjie LI, Zhihong QIAN
Format: Article
Language:zho
Published: Editorial Department of Journal on Communications 2019-03-01
Series:Tongxin xuebao
Subjects:
Online Access:http://www.joconline.com.cn/zh/article/doi/10.11959/j.issn.1000-436x.2019049/
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author Xiaoping YANG
Weijian LIAN
Mengjie LI
Zhihong QIAN
author_facet Xiaoping YANG
Weijian LIAN
Mengjie LI
Zhihong QIAN
author_sort Xiaoping YANG
collection DOAJ
description The situation of high conflict between evidences and one ballot veto cannot be solved by classical D-S rule,and the results obtained from classical D-S rule are contrary to the facts.To solve this problem,a new standard to measure conflicts between evidences was proposed based on the combination of Pignistic function transformation and correlation coefficient,and also a novel kind of weighted combination method which was applied to measure conflicts between evidences was put forward according to the standard.After that,a support matrix was constructed based from which the credibility of evidence was obtained,and the weighted average method was used to revise the evidence.Finally,the combination was accomplished by using Dempster’s rule.The result of numerical examples shows that it’s effective to solve the combination of conflicting evidence.Compared with other methods,the proposed method has good astringency.
format Article
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institution Kabale University
issn 1000-436X
language zho
publishDate 2019-03-01
publisher Editorial Department of Journal on Communications
record_format Article
series Tongxin xuebao
spelling doaj-art-89242ed717b242da9481c9833f42ca2a2025-01-14T07:16:29ZzhoEditorial Department of Journal on CommunicationsTongxin xuebao1000-436X2019-03-0140737959725668Evidence combination method based on Pignistic function transformation and correlation coefficientXiaoping YANGWeijian LIANMengjie LIZhihong QIANThe situation of high conflict between evidences and one ballot veto cannot be solved by classical D-S rule,and the results obtained from classical D-S rule are contrary to the facts.To solve this problem,a new standard to measure conflicts between evidences was proposed based on the combination of Pignistic function transformation and correlation coefficient,and also a novel kind of weighted combination method which was applied to measure conflicts between evidences was put forward according to the standard.After that,a support matrix was constructed based from which the credibility of evidence was obtained,and the weighted average method was used to revise the evidence.Finally,the combination was accomplished by using Dempster’s rule.The result of numerical examples shows that it’s effective to solve the combination of conflicting evidence.Compared with other methods,the proposed method has good astringency.http://www.joconline.com.cn/zh/article/doi/10.11959/j.issn.1000-436x.2019049/D-S evidence theoryconflict measurecorrelation coefficientevidence combinationcredibility
spellingShingle Xiaoping YANG
Weijian LIAN
Mengjie LI
Zhihong QIAN
Evidence combination method based on Pignistic function transformation and correlation coefficient
Tongxin xuebao
D-S evidence theory
conflict measure
correlation coefficient
evidence combination
credibility
title Evidence combination method based on Pignistic function transformation and correlation coefficient
title_full Evidence combination method based on Pignistic function transformation and correlation coefficient
title_fullStr Evidence combination method based on Pignistic function transformation and correlation coefficient
title_full_unstemmed Evidence combination method based on Pignistic function transformation and correlation coefficient
title_short Evidence combination method based on Pignistic function transformation and correlation coefficient
title_sort evidence combination method based on pignistic function transformation and correlation coefficient
topic D-S evidence theory
conflict measure
correlation coefficient
evidence combination
credibility
url http://www.joconline.com.cn/zh/article/doi/10.11959/j.issn.1000-436x.2019049/
work_keys_str_mv AT xiaopingyang evidencecombinationmethodbasedonpignisticfunctiontransformationandcorrelationcoefficient
AT weijianlian evidencecombinationmethodbasedonpignisticfunctiontransformationandcorrelationcoefficient
AT mengjieli evidencecombinationmethodbasedonpignisticfunctiontransformationandcorrelationcoefficient
AT zhihongqian evidencecombinationmethodbasedonpignisticfunctiontransformationandcorrelationcoefficient