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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Format: | Article |
Language: | zho |
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Editorial Department of Journal on Communications
2019-03-01
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Series: | Tongxin xuebao |
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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 |
id | doaj-art-89242ed717b242da9481c9833f42ca2a |
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 |