Evidence conflict measurement method based on Pignistic probability transformation and singular value decomposition
In view of the problem of poor adaptability and low accuracy of common evidence conflict measurement method, an evidence conflict measurement method based on Pignistic probability transformation and singular value decomposition was proposed.First, Pignistic probability transformation was used to map...
Saved in:
| Main Authors: | , , , , |
|---|---|
| Format: | Article |
| Language: | zho |
| Published: |
Editorial Department of Journal on Communications
2021-04-01
|
| Series: | Tongxin xuebao |
| Subjects: | |
| Online Access: | http://www.joconline.com.cn/zh/article/doi/10.11959/j.issn.1000-436x.2021086/ |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1841539320939282432 |
|---|---|
| author | Xinglin GUO Zhenxiao SUN Yuyao ZHOU Lianzhi QI Yi ZHANG |
| author_facet | Xinglin GUO Zhenxiao SUN Yuyao ZHOU Lianzhi QI Yi ZHANG |
| author_sort | Xinglin GUO |
| collection | DOAJ |
| description | In view of the problem of poor adaptability and low accuracy of common evidence conflict measurement method, an evidence conflict measurement method based on Pignistic probability transformation and singular value decomposition was proposed.First, Pignistic probability transformation was used to map the evidence focal element difference to the belief difference, and the evidence composite belief function matrix was constructed.Then, the matrix features were extracted by singular value decomposition, and the matrix feature space was divided into similar subspace and conflict subspace according to singular value characteristics.Considering the similarity and conflict characteristics of the evidence matrix, and the ratio of the singular value of the conflict subspace to the singular value of the similar subspace was taken as the new conflict measure factor.Finally, the proposed method was compared with common methods in various evidence conflict scenarios, such as full conflict scenario, variable reliability scenario, variable focus element scenario, focal element nested scenario, and the results show that the proposed method has wide adaptability, high accuracy and good stability. |
| format | Article |
| id | doaj-art-fbc575f47f754d0f8826bb7f8662cfa1 |
| institution | Kabale University |
| issn | 1000-436X |
| language | zho |
| publishDate | 2021-04-01 |
| publisher | Editorial Department of Journal on Communications |
| record_format | Article |
| series | Tongxin xuebao |
| spelling | doaj-art-fbc575f47f754d0f8826bb7f8662cfa12025-01-14T07:22:00ZzhoEditorial Department of Journal on CommunicationsTongxin xuebao1000-436X2021-04-014215015759741540Evidence conflict measurement method based on Pignistic probability transformation and singular value decompositionXinglin GUOZhenxiao SUNYuyao ZHOULianzhi QIYi ZHANGIn view of the problem of poor adaptability and low accuracy of common evidence conflict measurement method, an evidence conflict measurement method based on Pignistic probability transformation and singular value decomposition was proposed.First, Pignistic probability transformation was used to map the evidence focal element difference to the belief difference, and the evidence composite belief function matrix was constructed.Then, the matrix features were extracted by singular value decomposition, and the matrix feature space was divided into similar subspace and conflict subspace according to singular value characteristics.Considering the similarity and conflict characteristics of the evidence matrix, and the ratio of the singular value of the conflict subspace to the singular value of the similar subspace was taken as the new conflict measure factor.Finally, the proposed method was compared with common methods in various evidence conflict scenarios, such as full conflict scenario, variable reliability scenario, variable focus element scenario, focal element nested scenario, and the results show that the proposed method has wide adaptability, high accuracy and good stability.http://www.joconline.com.cn/zh/article/doi/10.11959/j.issn.1000-436x.2021086/evidence theoryevidence conflict measurementPignistic probability transformationsingular value decom-position |
| spellingShingle | Xinglin GUO Zhenxiao SUN Yuyao ZHOU Lianzhi QI Yi ZHANG Evidence conflict measurement method based on Pignistic probability transformation and singular value decomposition Tongxin xuebao evidence theory evidence conflict measurement Pignistic probability transformation singular value decom-position |
| title | Evidence conflict measurement method based on Pignistic probability transformation and singular value decomposition |
| title_full | Evidence conflict measurement method based on Pignistic probability transformation and singular value decomposition |
| title_fullStr | Evidence conflict measurement method based on Pignistic probability transformation and singular value decomposition |
| title_full_unstemmed | Evidence conflict measurement method based on Pignistic probability transformation and singular value decomposition |
| title_short | Evidence conflict measurement method based on Pignistic probability transformation and singular value decomposition |
| title_sort | evidence conflict measurement method based on pignistic probability transformation and singular value decomposition |
| topic | evidence theory evidence conflict measurement Pignistic probability transformation singular value decom-position |
| url | http://www.joconline.com.cn/zh/article/doi/10.11959/j.issn.1000-436x.2021086/ |
| work_keys_str_mv | AT xinglinguo evidenceconflictmeasurementmethodbasedonpignisticprobabilitytransformationandsingularvaluedecomposition AT zhenxiaosun evidenceconflictmeasurementmethodbasedonpignisticprobabilitytransformationandsingularvaluedecomposition AT yuyaozhou evidenceconflictmeasurementmethodbasedonpignisticprobabilitytransformationandsingularvaluedecomposition AT lianzhiqi evidenceconflictmeasurementmethodbasedonpignisticprobabilitytransformationandsingularvaluedecomposition AT yizhang evidenceconflictmeasurementmethodbasedonpignisticprobabilitytransformationandsingularvaluedecomposition |