一種快速DSmT-DS近似推理融合方法

郭強; 何友; 李新德

doi:10.11999/JEIT150086

一種快速DSmT-DS近似推理融合方法

doi: 10.11999/JEIT150086

2.
(海軍航空工程學院信息融合技術(shù)研究所煙臺 264001) ②(東南大學復(fù)雜工程測量與控制教育部重點實驗室南京 210096)

基金項目:

國家自然科學基金(61102166, 61471379)和山東省優(yōu)秀中青年科學家科研獎勵基金(BS2013DX003)

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- 文章訪問數(shù): 1508
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- 被引次數(shù): 0
出版歷程
- 收稿日期: 2015-01-15
- 修回日期: 2015-03-27
- 刊出日期: 2015-09-19

Fast DSmT-DS Approximate Reasoning Method

1.
(Research Institute of Information Fusion, Naval Aeronautical and Astronautical University, Yantai 264001, China)
2.
(Research Institute of Information Fusion, Naval Aeronautical and Astronautical University, Yantai 264001, China)

摘要

摘要: 該文對Dempster-Shafer(DS)理論以及Dezert-Smarandache理論(DSmT)進行了深入研究，為了能夠在僅需較低計算復(fù)雜度的前提下得到更加精確的融合結(jié)果，提出一種新的快速DSmT-DS近似推理融合方法。該方法針對超冪集空間僅單子焦元具有信度賦值的情況，將超冪集空間拆分映射成元素為各單子焦元和其補集的二元集合的新的超冪集空間，并求出每個補集的信度賦值；再運用Dezert-Smarandache框架中的第5條比例沖突分配規(guī)則(DSmT+PCR5)在新的超冪集空間的二元集合子空間下對多證據(jù)源進行融合，得到各單子焦元的融合結(jié)果；然后通過歸一化處理求得各單子焦元的信度賦值。通過理論分析得出該文方法的融合結(jié)果是介于Dezert-Smarandache框架中的第5條比例沖突分配規(guī)則(DSmT+PCR5)及Dempster-Shafer(DS)框架下的 Dempster 組合規(guī)則之間。該文方法在需要較低計算復(fù)雜度的前提下，可以得到優(yōu)于Dempster組合規(guī)則的近似融合結(jié)果。最后通過多個角度與已有方法進行對比，驗證了該文方法的優(yōu)越性。
- 信息融合 /
- 證據(jù)理論 /
- Dezert-Smarandache理論 /
- 近似推理 /
- 拆分映射
Abstract: In this paper, Dempster-Shafer (DS) theory and Dezert-Smarandache Theory (DSmT) are conducted thorough reasearch, and in order to obtain more accurate fusion results in the premise of needing less computation complexity, a fast DSmT-DS approximate reasoning method is proposed. This method is only fit for the case that there are only singleton focal elements with assignments in hyper-power set. The hyper-power set is splitted and mapped to a new hyper-power set which consists of the binary sets of the focal element and its complementary set to the assignments of the complementary sets are computed. Proportional Conflict Redistribution No.5 within Dezert-Smarandache framework (DSmT+PCR5) is applied to fuse the multi-source evidence in the binary sets of the new hyper-power set to get the fusion results of singleton focal elements. Then the assignments of singleton focal elements are obtained by normalization. Through the theoretical analysis, the conclusion is drawn that the fusion results of the mothod in this paper is between the results of DSmT+PCR5 and Dempsters combination rule based on DS model, and the fusion results of the method in this paper which is better than the rusults of Dempsters combination rule can be obtained in the premise of minimal computation complexity. Finally, by comparing the method in this paper with the existing methods from different views, the superiority of new one is testified well.
- Information fusion /
- Evidence theory /
- Dezert-Smarandache Theory (DSmT) /
- Approximate reasoning /
- Splitting mapping

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