A Self-Adaptive Combination Method in Evidence Theory Based on the Power Pignistic Probability Distance
Existing methods employed for combining temporal and spatial evidence derived from multiple sources into a single coherent description of objects and their environments lack versatility in various applications such as multi-sensor target recognition. This is addressed in the present study by proposi...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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MDPI AG
2020-04-01
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| Series: | Symmetry |
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| Online Access: | https://www.mdpi.com/2073-8994/12/4/526 |
| _version_ | 1797571639118921728 |
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| author | Jian Wang Jing-wei Zhu Yafei Song |
| author_facet | Jian Wang Jing-wei Zhu Yafei Song |
| author_sort | Jian Wang |
| collection | DOAJ |
| description | Existing methods employed for combining temporal and spatial evidence derived from multiple sources into a single coherent description of objects and their environments lack versatility in various applications such as multi-sensor target recognition. This is addressed in the present study by proposing an adaptive evidence fusion method based on the power pignistic probability distance. This method classifies evidence sets into non-conflicting and conflicting evidence sets based on the maximum power pignistic probability distance obtained between evidence pairs in the evidence set. Non-conflicting evidence sets are fused using Dempster’s rule, while conflicting evidence sets are fused using a weighted average combination method based on the power pignistic probability distance. The superior evidence fusion performance of the proposed method is demonstrated by comparisons with the performances of seven other fusion methods based on numerical examples with four different evidence conflict scenarios. The results show that the method proposed in this paper not only can properly fuse different types of evidence, but also provides an excellent focus on the components of evidence sets with high confidence, which is conducive to timely and accurate decisions. |
| first_indexed | 2024-03-10T20:42:32Z |
| format | Article |
| id | doaj.art-ffe0ea0467aa408b993d253f6087ef29 |
| institution | Directory Open Access Journal |
| issn | 2073-8994 |
| language | English |
| last_indexed | 2024-03-10T20:42:32Z |
| publishDate | 2020-04-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Symmetry |
| spelling | doaj.art-ffe0ea0467aa408b993d253f6087ef292023-11-19T20:34:47ZengMDPI AGSymmetry2073-89942020-04-0112452610.3390/sym12040526A Self-Adaptive Combination Method in Evidence Theory Based on the Power Pignistic Probability DistanceJian Wang0Jing-wei Zhu1Yafei Song2Air and Missile College, Air Force Engineering University, Xi’an 710051, ChinaNo 66072 of PLA, Beijing 100144, ChinaAir and Missile College, Air Force Engineering University, Xi’an 710051, ChinaExisting methods employed for combining temporal and spatial evidence derived from multiple sources into a single coherent description of objects and their environments lack versatility in various applications such as multi-sensor target recognition. This is addressed in the present study by proposing an adaptive evidence fusion method based on the power pignistic probability distance. This method classifies evidence sets into non-conflicting and conflicting evidence sets based on the maximum power pignistic probability distance obtained between evidence pairs in the evidence set. Non-conflicting evidence sets are fused using Dempster’s rule, while conflicting evidence sets are fused using a weighted average combination method based on the power pignistic probability distance. The superior evidence fusion performance of the proposed method is demonstrated by comparisons with the performances of seven other fusion methods based on numerical examples with four different evidence conflict scenarios. The results show that the method proposed in this paper not only can properly fuse different types of evidence, but also provides an excellent focus on the components of evidence sets with high confidence, which is conducive to timely and accurate decisions.https://www.mdpi.com/2073-8994/12/4/526evidence theorypower pignistic probability distanceself-adaptive combination |
| spellingShingle | Jian Wang Jing-wei Zhu Yafei Song A Self-Adaptive Combination Method in Evidence Theory Based on the Power Pignistic Probability Distance Symmetry evidence theory power pignistic probability distance self-adaptive combination |
| title | A Self-Adaptive Combination Method in Evidence Theory Based on the Power Pignistic Probability Distance |
| title_full | A Self-Adaptive Combination Method in Evidence Theory Based on the Power Pignistic Probability Distance |
| title_fullStr | A Self-Adaptive Combination Method in Evidence Theory Based on the Power Pignistic Probability Distance |
| title_full_unstemmed | A Self-Adaptive Combination Method in Evidence Theory Based on the Power Pignistic Probability Distance |
| title_short | A Self-Adaptive Combination Method in Evidence Theory Based on the Power Pignistic Probability Distance |
| title_sort | self adaptive combination method in evidence theory based on the power pignistic probability distance |
| topic | evidence theory power pignistic probability distance self-adaptive combination |
| url | https://www.mdpi.com/2073-8994/12/4/526 |
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