Journal on Communications ›› 2015, Vol. 36 ›› Issue (5): 98-103.doi: 10.11959/j.issn.1000-436x.2015104
• Academic paper • Previous Articles Next Articles
ONGYa-fei S,ANGXiao-dan W,EILei L,UEAi-jun X
Online:2015-05-20
Published:2015-07-17
Supported by:ONGYa-fei S,ANGXiao-dan W,EILei L,UEAi-jun X. Evidence combination based on the degree of credibility and falsity[J]. Journal on Communications, 2015, 36(5): 98-103.
"
| 证据组合方法 | ||||
| Dempster方法 | m (A)=0 m(B)=0.791 m(C)=0.209 | m (A)=0 m(B)=0.557 m(C)=0.443 | m (A)=0 m(B)=0.759 m(C)=0.241 | m (A)=0 m(B)=0.47 m(C)=0.526 |
| Yager方法[ | m (A)=0 m(B)=0.170 m(C)=0.045 m(Θ)=0.785 | m (A)=0 m(B)=0.017 m(C)=0.014 m(Θ)=0.969 | m (A)=0 m(B)=0.004 m(C)=0.002 m(Θ)=0.994 | m (A)=0 m(B)=0.0004 m(C)=0.0005 m(Θ)=0.9991 |
| 孙全方法[ | m (A)=0.090 m(B)=0.358 m(C)=0.126 m(Θ)=0.426 | m(A)=0.168 m(B)=0.193 m(C)=0.128 m(Θ)=0.511 | m(A)=0.217 m(B)=0.178 m(C)=0.107 m(Θ)=0.498 | m(A)=0.234 m(B)=0.153 m(C)=0.122 m(Θ)=0.491 |
| Murphy方法[ | m(A)=0.161 m(B)=0.709 m(C)=0.130 | m(A)=0.407 m(B)=0.464 m(C)=0.129 | m(A)=0.683 m(B)=0.279 m(C)=0.038 | m(A)=0.865 m(B)=0.102 m(C)=0.033 |
| 邓勇方法[ | m(A)=0.161 m(B)=0.709 m(C)=0.130 | m(A)=0.617 m(B)=0.232 m(C)=0.151 | m(A)=0.870 m(B)=0.095 m(C)=0.035 | m(A)=0.952 m(B)=0.020 m(C)=0.028 |
| 本文方法 | m(A)=0.161 m(B)=0.709 m(C)=0.130 | m(A)=0.665 m(B)=0.181 m(C)=0.154 | m(A)=0.905 m(B)=0.063 m(C)=0.032 | m(A)=0.964 m(B)=0.011 m(C)=0.025 |
"
组合 | m1 | m2 | m3 | m4 | m5 | m6 |
{A} | 0.75 | 0.4 | 0 | 0.35 | 0.5 | 0.05 |
{B} | 0.1 | 0.2 | 0.9 | 0.15 | 0.1 | 0.1 |
{C} | 0.05 | 0.1 | 0.1 | 0.25 | 0 | 0 |
{AB} | 0 | 0.3 | 0 | 0.2 | 0 | 0.3 |
{AC} | 0 | 0 | 0 | 0 | 0 | 0.2 |
{BC} | 0 | 0 | 0 | 0 | 0.15 | 0.1 |
{ABC} | 0.05 | 0 | 0 | 0.05 | 0.25 | 0.25 |
"
| 证据组合方法 | |||||
| 邓勇方法[ | m (A)=0.8052 m(B)=0.1185 m(C)=0.0189 m(AB)=0.0539 m(AC)=0 m(BC)=0 m(ABC)=0.003 6 | m(A)=0.5899 m(B)=0.3910 m(C)=0.0048 m(AB)=0.0142 m(AC)=0 m(BC)=0 m(ABC)=0.0001 | m(A)=0.7133 m(B)=0.2738 m(C)=0.0050 m(AB)=0.0079 m(AC)=0 m(BC)=0 m(ABC)=0 | m(A)=0.8110 m(B)=0.1814 m(C)=0.0045 m(AB)=0.0029 m(AC)=0 m(BC)=0.0002 m(ABC)=0 | m(A)=0.7899 m(B)=0.1996 m(C)=0.0057 m(AB)=0.0044 m(AC)=0.0002 m(BC)=0.0002 m(ABC)=0 |
| 本文方法 | m(A)=0.8052 m(B)=0.1185 m(C)=0.0189 m(AB)=0.0539 m(AC)=0 m(BC)=0 m(ABC)=0.003 6 | m(A)=0.6258 m(B)=0.3562 m(C)=0.0049 m(AB)=0.0129 m(AC)=0 m(BC)=0 m(ABC)=0.0001 | m(A)=0.7340 m(B)=0.2537 m(C)=0.0050 m(AB)=0.0073 m(AC)=0 m(BC)=0 m(ABC)=0 | m(A)=0.8261 m(B)=0.1669 m(C)=0.0041 m(AB)=0.0026 m(AC)=0 m(BC)=0.0002 m(ABC)=0 | m(A)=0.8141 m(B)=0.1782 m(C)=0.0043 m(AB)=0.0031 m(AC)=0.0001 m(BC)=0.0001 m(ABC)=0 |
| [1] | DEMPSTER A P . Upper and lower probabilities induced by a multi-valued mapping[J]. Annals Math.Stat., 1967,38: 325-339. |
| [2] | SHAFER G . A Mathematical Theory of Evidence[M]. Princeton,NJ: Princeton University Press, 1976. |
| [3] | 苗锐， 陈国初， 李月 等． 基于随机集含糊证据的风力发电机故障诊断方法[J]． 电力系统自动化， 2012,36(7):22-26. MIAO R , CHEN G C , LI Y , et al. A wind turbine fault diagnosis method based on vague evidence of random set[J]. Automation of Electric Power Systems, 2012,36(7):22-26. |
| [4] | 雷蕾， 王晓丹， 邢雅琼 等． 结合 SVM 和 DS 证据理论的多极化HRRP分类研究[J]． 控制与决策， 2013,28(6):861-866. LEI L , WANG X D , XING Y Q , et al. Multi-polarized HRRP classification by SVM and DS evidence theory[J]. Control and Decision, 2013,28(6):861-866. |
| [5] | 刘帅奇， 胡绍海， 肖扬 等． 基于局部混合滤波的SAR图像边缘检测[J]． 电子与信息学报， 2013,35(5):1120-1127. LIU S Q , HU S H , XIAO Y , et al. SAR image edge detection based on local hybrid filter[J]. Journal of Electronics ＆ Information Technology, 2013,35(5):1120-1127. |
| [6] | ZADEH L . Review of a mathematical theory of evidence[J]. AI Magazine, 1984,5(3): 81-83. |
| [7] | ZADEH L . A simple view of the dempster-shafer theory of evidence and its implication for the rule of combination[J]. AI Magazine, 1986,7(2): 85-90. |
| [8] | 郭华伟， 施文康， 邓勇 等． 证据冲突：丢弃，发现或化解？[J]． 系统工程与电子技术， 2007,29(6):890-898. GUO H W , SHI W K , DENG Y , et al. Evidential conflict and its 3D strategy:discard,discover and disassemble?[J]. Systems Engineering and Electronics, 2007,29(6):890-898. |
| [9] | YAGER R.R . On the Dempster-Shafer framework and new combination rules[J]. Information Sciences, 1987,41(5): 93-138. |
| [10] | LEFEVRE E , COLOT O , VANNOORENBERGHE P . Belief function combination and conflict management[J]. Information Fusion, 2002,3(2): 149-162. |
| [11] | 孙全， 叶秀清， 顾伟康 ． 一种新的基于证据理论的合成公式[J]． 电子学报， 2000,28(8):117-119. SUN Q , YE X Q , GU W K . A new combination rules of evidence theory[J]. Acta Electronica Sinica, 2000,28(8):117-119. |
| 邓勇， 施文康 ． 一种改进的证据推理组合规则[J]． 上海交通大学学报， 2003,37(8):1275-1278. DENG Y , SHI W K . A modified combination rule of evidence theory[J]. Journal of Shanghai Jiaotong University, 2003,37(8):1275-1278. | |
| [13] | HAENNI R . Are alternative to Dempster's rule of combination real alternative? Comments on about the belief function combination and the conflict management problem-E lefevre[J]. Information,Fusion, 2002,3(3): 237-239. |
| [14] | MURPHY C K . Combining belief functions when evidence conflicts[J]. Decision support systems, 2000,29(1): 1-9. |
| [15] | 邓勇， 施文康， 朱振福 ． 一种有效处理冲突证据的组合方法[J]． 红外与毫米波学报， 2004,23(1):27-32. DENG Y , SHI W K , ZHU Z F . Efficient combination approach of conflict evidence[J]. J Infrared Millim Waves, 2004,23(1):27-32. |
| [16] | HAN D Q , DENG Y , HAN C Z . Weighted evidence combination based on distance of evidence and uncertainty measure[J]. J Infrared Millim Waves, 2011,30(5): 396-400. |
| [17] | FABRE S , APPRIOU A , BRIOTTET X . Presentation and description of two classification methods using data fusion based on sensor management[J]. Information Fusion, 2001,2(1): 49-71. |
| [18] | 胡昌华， 司小胜， 周志杰 等． 新的证据冲突衡量标准下的 DS 改进算法[J]． 电子学报， 2009,37(7):1578-1583. HU C H , SI X S , ZHOU Z J , et al. An improved D S algorithm under the new measure criteria of evidence conflict[J]. Acta Electronica Sinica, 2009,37(7):1578-1583. |
| [19] | 许丽佳 ． D-S 理论在信息融合中的改进[J]． 系统工程与电子技术， 2004,26(6):717-720. XU L J . Improvement of D S theory in an information fusion system[J]. Systems Engineering and Electronics, 2004,26(6):717-720. |
| [20] | 周皙， 徐晓滨， 文成林 等． 冲突证据融合的优化方法[J]． 自动化学报， 2012,38(6):976-985. ZHOU Z , XU X B , WEN C L , et al. An optimal method for combining conflicting evidences[J]. Acta Automatica Sinica, 2012,38(6):976-985. |
| [21] | JOUSSELME A L , GRENIER D , BOSSE E . A new distance between two bodies of evidence[J]. Information Fusion, 2001,(2): 91-101. |
| [22] | 宋亚飞， 王晓丹， 雷蕾 等． 基于相关系数的证据冲突度量方法[J]． 通信学报， 2014,35(5):95-100. SONG Y F , WANG X D , LEI L , et al. Measurement of evidence conflict based on correlation coefficient[J]. Journal on Communications, 2014,35(5):95-100. |
| [23] | SCHUBERT J . Conflict management in Dempster-Shafer theory using the degree of falsity[J]. International Journal of Approximate Reasoning, 2011,52(3): 449-460. |
| [24] | 冯德军， 王博， 王伟 ． 弹道中段雷达目标识别研究进展综述[J]． 中国电子科学研究院学报， 2013,8(2):142-148. FENG D J , WANG B , WANG W . Overview of progress in midcourse radar target recognition[J]. Journal of CAEIT, 2013,8(2):142-148. |
| [1] | Xin WANG, Wei FU. Strong measurement method of evidence conflict based on earth mover’s distance [J]. Journal on Communications, 2022, 43(5): 204-213. |
| [2] | Xinglin GUO, Zhenxiao SUN, Yuyao ZHOU, Lianzhi QI, Yi ZHANG. Evidence conflict measurement method based on Pignistic probability transformation and singular value decomposition [J]. Journal on Communications, 2021, 42(4): 150-157. |
| [3] | Xiaoli DAI, Shifeng LIU, Daqing GONG. Text similarity detection method based on NLP [J]. Journal on Communications, 2021, 42(10): 173-181. |
| [4] | Xiaoping YANG,Weijian LIAN,Mengjie LI,Zhihong QIAN. Evidence combination method based on Pignistic function transformation and correlation coefficient [J]. Journal on Communications, 2019, 40(3): 73-79. |
| [5] | Guidong SUN,Xin GUAN,Xiao YI,Jing ZHAO. Correlation coefficient measurement for conflict evidence [J]. Journal on Communications, 2018, 39(12): 30-39. |
| [6] | Lu WANG,Qing-hua XING,Yi-fan MAO. Weighted evidence combination based on degree of credibility and certainty [J]. Journal on Communications, 2017, 38(1): 83-88. |
| [7] | Yan-fei LIN,Su-jie SHAO,Cheng ZHONG,Shao-yong GUO,Xue-song QIU. Sensor fault detection algorithm based on credibility and neighbor-cooperation [J]. Journal on Communications, 2016, 37(9): 183-190. |
| [8] | Lu WANG,Qing-hua XING,Yi-fan MAO. Directional evidence conflict measurement approach [J]. Journal on Communications, 2016, 37(7): 118-123. |
| [9] | . Critical nodes selection based on trust evaluation in Ad Hoc networks [J]. Journal on Communications, 2014, 35(Z2): 29-219. |
| [10] | Zhuo-chao LIU,Li YANG,Qi JIANG,Wei WANG,Chun-jie CAO. Critical nodes selection based on trust evaluation in Ad Hoc networks [J]. Journal on Communications, 2014, 35(Z2): 213-219. |
| [11] | Ya-fei SONG,Xiao-dan WANG,Lei LEI,Ai-jun XUE. Measurement of evidence conflict based on correlation coefficient [J]. Journal on Communications, 2014, 35(5): 95-100. |
| [12] | . Measurement of evidence conflict based on correlation coefficient [J]. Journal on Communications, 2014, 35(5): 13-100. |
| [13] | Ming-qian LIU,Bing-bing LI,Chao-feng CAO,Zhao LI. Recognition method of digital modulation signals over non-Gaussian noise in cognitive radio [J]. Journal on Communications, 2014, 35(1): 82-88. |
| [14] | . Dynamic trust evaluation model based on evaluation credibility in cloud computing [J]. Journal on Communications, 2013, 34(Z1): 5-37. |
| [15] | Lin ZHANG,Kai-li RAO,Ru-chuan WANG. Dynamic trust evaluation model based on evaluation credibility in cloud computing [J]. Journal on Communications, 2013, 34(Z1): 31-37. |
| Viewed | ||||||
|
Full text |
|
|||||
|
Abstract |
|
|||||
|
||
