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In this chapter, we present and discuss a new generalized proportional conflict redistribution rule. The Dezert-Smarandache extension of the Demster-Shafer theory has relaunched the studies on the combination rules especially for the…

人工智能 · 计算机科学 2008-12-18 Arnaud Martin , Christophe Osswald

The theory of belief functions manages uncertainty and also proposes a set of combination rules to aggregate opinions of several sources. Some combination rules mix evidential information where sources are independent; other rules are…

人工智能 · 计算机科学 2015-03-18 Mouna Chebbah , Arnaud Martin , Boutheina Ben Yaghlane

This paper presents two new promising rules of combination for the fusion of uncertain and potentially highly conflicting sources of evidences in the framework of the theory of belief functions in order to palliate the well-know limitations…

人工智能 · 计算机科学 2007-05-23 M. C. Florea , J. Dezert , P. Valin , F. Smarandache , Anne-Laure Jousselme

Dempster-Shafer theory of evidence is widely applied to uncertainty modelling and knowledge reasoning because of its advantages in dealing with uncertain information. But some conditions or requirements, such as exclusiveness hypothesis and…

人工智能 · 计算机科学 2017-03-16 Xinyang Deng , Wen Jiang

The theory of belief functions is an effective tool to deal with the multiple uncertain information. In recent years, many evidence combination rules have been proposed in this framework, such as the conjunctive rule, the cautious rule, the…

人工智能 · 计算机科学 2017-07-26 Kuang Zhou , Arnaud Martin , Quan Pan

Recent works have investigated the problem of the conflict redistribution in the fusion rules of evidence theories. As a consequence of these works, many new rules have been proposed. Now, there is not a clear theoretical criterion for a…

逻辑 · 数学 2007-06-13 Frederic Dambreville

In Information fusion, the conflict is an important concept. Indeed, combining several imperfect experts or sources allows conflict. In the theory of belief functions, this notion has been discussed a lot. The mass appearing on the empty…

人工智能 · 计算机科学 2017-09-14 Arnaud Martin

The problem of combining beliefs in the Dempster-Shafer belief theory has attracted considerable attention over the last two decades. The classical Dempster's Rule has often been criticised, and many alternative rules for belief combination…

人工智能 · 计算机科学 2007-05-23 Audun Josang

The theory of belief functions is widely used for data from multiple sources. Different evidence combination rules have been proposed in this framework according to the properties of the sources to combine. However, most of these…

人工智能 · 计算机科学 2018-10-02 Kuang Zhou , Arnaud Martin , Quan Pan

In this chapter, we present two applications in information fusion in order to evaluate the generalized proportional conflict redistribution rule presented in the chapter \cite{Martin06a}. Most of the time the combination rules are…

计算机视觉与模式识别 · 计算机科学 2008-12-18 Arnaud Martin , Christophe Osswald

This short paper introduces two new fusion rules for combining quantitative basic belief assignments. These rules although very simple have not been proposed in literature so far and could serve as useful alternatives because of their low…

人工智能 · 计算机科学 2011-12-05 Florentin Smarandache , Jean Dezert

While belief functions may be seen formally as a generalization of probabilistic distributions, the question of the interactions between belief functions and probability is still an issue in practice. This question is difficult, since the…

计算机科学中的逻辑 · 计算机科学 2011-10-03 Frederic Dambreville

Martin and Osswald \cite{Martin07} have recently proposed many generalizations of combination rules on quantitative beliefs in order to manage the conflict and to consider the specificity of the responses of the experts. Since the experts…

人工智能 · 计算机科学 2009-06-30 Arnaud Martin , Christophe Osswald , Jean Dezert , Florentin Smarandache

These last years, there were many studies on the problem of the conflict coming from information combination, especially in evidence theory. We can summarise the solutions for manage the conflict into three different approaches: first, we…

人工智能 · 计算机科学 2008-12-18 Arnaud Martin , Christophe Osswald

In this paper we propose five versions of a Proportional Conflict Redistribution rule (PCR) for information fusion together with several examples. From PCR1 to PCR2, PCR3, PCR4, PCR5 one increases the complexity of the rules and also the…

人工智能 · 计算机科学 2016-08-31 Florentin Smarandache , Jean Dezert

Considerable attention has been given to the problem of non-monotonic reasoning in a belief function framework. Earlier work (M. Ginsberg) proposed solutions introducing meta-rules which recognized conditional independencies in a…

人工智能 · 计算机科学 2013-04-05 Mary McLeish

Since no fusion theory neither rule fully satisfy all needed applications, the author proposes a Unification of Fusion Theories and a combination of fusion rules in solving problems/applications. For each particular application, one selects…

人工智能 · 计算机科学 2007-05-23 Florentin Smarandache

This paper examines the concept of a combination rule for belief functions. It is shown that two fairly simple and apparently reasonable assumptions determine Dempster's rule, giving a new justification for it.

人工智能 · 计算机科学 2013-03-08 Nic Wilson

The literature on judgment aggregation is moving from studying impossibility results regarding aggregation rules towards studying specific judgment aggregation rules. Here we give a structured list of most rules that have been proposed and…

人工智能 · 计算机科学 2016-12-07 Jerôme Lang , Gabriella Pigozzi , Marija Slavkovik , Leendert van der Torre , Srdjan Vesic

Belief fusion is the principle of combining separate beliefs or bodies of evidence originating from different sources. Depending on the situation to be modelled, different belief fusion methods can be applied. Cumulative and averaging…

人工智能 · 计算机科学 2007-12-10 Audun Josang
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