Information-based dissimilarity assessment in Dempster–Shafer theory

Sarabi-Jamab, Atiye; Araabi, Babak Nadjar; Augustin, Thomas

doi:10.1016/j.knosys.2013.08.030

Cited by 31 publications

(21 citation statements)

References 37 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…In this section, we present two available strategies based on the similarity measure between two IBSs. In Dempster-Shafer evidence theory, the evidence distance is the main way to quantify the dissimilarity between two belief structures (i.e.,BBAs or IBSs) 29 , so the concepts of distance and similarity are linked in an inverse way. That is to say, the lesser the distance between two IBSs, the greater their similarity 22 .…”

Section: The New Methods For Selecting Linear Combination Weightsmentioning

confidence: 99%

Interval-valued Evidence Updating with Reliability and Sensitivity Analysis for Fault Diagnosis

Xu¹,

Zhang²,

Xu³

et al. 2016

IJCIS

View full text Add to dashboard Cite

Information fusion methods based on Dempster-Shafer evidence theory (DST) have been widely used in fault diagnosis. In DST-based methods, the monitoring information collected from sensors is modeled as multiple pieces of diagnosis evidence in the form of basic belief assignment (BBA), and Dempster's rule is then used to combine these BBAs to obtain the fused BBA for diagnosis decision making. However, the belief structure with crisp singlevalued belief degrees in BBA may be too coarse to truthfully represent detailed fault information. Moreover, Dempster's rule only uses a static combination process, which is unsuitable for dynamically fusing information collected at different time steps. In order to address these issues, the paper proposes a dynamic diagnosis method based on interval-valued evidential updating. First of all, the diagnosis evidence is constructed as an interval-valued belief structure (IBS), which provides a more informative scheme than BBA to model fault information. Secondly, the proposed evidential updating strategy can generate updated IBS as global diagnosis evidence by updating the previous evidence with the new incoming evidence recursively. Thirdly, the reliability and sensitivity indices are designed to evaluate and compare the performance of the proposed updating strategy with other commonly used strategies. Finally, the effectiveness of the proposed evidential updating strategy is demonstrated through some typical fault experiments of a machine rotor.

show abstract

Section: The New Methods For Selecting Linear Combination Weightsmentioning

confidence: 99%

Interval-valued Evidence Updating with Reliability and Sensitivity Analysis for Fault Diagnosis

Xu¹,

Zhang²,

Xu³

et al. 2016

IJCIS

View full text Add to dashboard Cite

show abstract

“…Unfortunately, a lot of recent works assume it is possible to do so, which is arguable: For example [32], which goes back to 2008, is probably among the most cited papers on distance-based conflict (almost 100 Google Scholar citations). Afterwards, few articles with the same spirit were published in 2011 [29,36,43], while their number has rocketed in the two following years [48,26,28,2,46,49,37,38,25,47,50], just to cite a few of them.…”

Section: A Recap On Distance-based Conflictsmentioning

confidence: 99%

Geometric views on conflicting mass functions: From distances to angles

Bürger

2016

International Journal of Approximate Reasoning

View full text Add to dashboard Cite

Recently, several works have focused on the study of conflict among belief functions with a geometric approach, trying to elaborate on the intuition that distant belief functions are more conflicting than neighboring ones. In this article, I discuss the extent to which the mathematical properties of a metric are compliant with what can be expected from a conflict measure. As this highlights some inconsistencies, numerous other geometric or algebraic objects are investigated for their potential to give a mathematical formulation to the measurement of conflict: divergences, pseudo-sine functions, kernels and semi-pseudometrics. Finally, only semi-pseudo-metrics (an intermediate object the nature of which relates to both distances and angles) seem to fit. This is practically confirmed by the fact that the outer plausibility conflict is indeed a semi-pseudo-metric.

show abstract

“…It allows one to combine evidence from different sources and arrive at a degree of belief which takes into account all the available evidence, and has been widely applied in artificial intelligence, expert systems, pattern recognition, information fusion, risk assessment, multiple attribute decision analysis, etc. [22,[32][33][34][35][36][37]. In DST, the basic unit of knowledge representation is called a basic probability assignment (Bpa) function.…”

Section: Dempster-shafer Theorymentioning

confidence: 99%