Analyzing the combination of conflicting belief functions

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Analyzing the combination of conflicting belief functions

We consider uncertain data which uncertainty is represented by belief functions and that must be combined. The result of the combination of the belief functions can be partially conflictual. Initially Shafer proposed Dempster’s rule of combination where the conflict is reallocated proportionally among the other masses. Then Zadeh presented an example where Dempster’s rule of combination produce...

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Clustering belief functions based on attracting and conflicting metalevel evidence

Abstract In this paper we develop a method for clustering belief functions based on attracting and conflicting metalevel evidence. Such clustering is done when the belief functions concern multiple events, and all belief functions are mixed up. The clustering process is used as the means for separating the belief functions into subsets that should be handled independently. While the conflicting...

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Analyzing the degree of conflict among belief functions

The study of alternative combination rules in DS theory when evidence is in conflict has emerged again recently as an interesting topic, especially in data/information fusion applications. These studies have mainly focused on investigating which alternative would be appropriate for which conflicting situation, under the assumption that a conflict is identified. The issue of detection (or identi...

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Pairwise classifier combination using belief functions

In the so-called pairwise approach to polychotomous classification, a multi-class problem is solved by combining classifiers trained to discriminate between each pair of classes. In this paper, this approach is revisited in the framework of the Dempster-Shafer theory of belief functions, a non-probabilistic framework for quantifying and manipulating partial knowledge. It is proposed to interpre...

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Based on a new demand — the commutativity of belief functions combination with refinement/coarsening of the frame of discernment — the role of the disjunctive rule of combination has increased. To compare the nature of this rule with a more frequent but also more controversional one, i.e. with Dempster’s rule, an algebraic analysis was used. The basic necessary definitions both from the Dempste...

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ژورنال

عنوان ژورنال: Information Fusion

سال: 2007

ISSN: 1566-2535

DOI: 10.1016/j.inffus.2006.04.003