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Mountain river torrents and snow avalanches generate human and material damages with dramatic consequences. Knowledge about natural phenomenona is often lacking and expertise is required for decision and risk management purposes using…

Artificial Intelligence · Computer Science 2011-01-20 Jean-Marc Tacnet , Mireille Batton-Hubert , Jean Dezert

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…

Artificial Intelligence · Computer Science 2018-10-02 Kuang Zhou , Arnaud Martin , Quan Pan

When implementing the DSmT, a difficulty may arise from the possible huge dimension of hyperpower sets, which are indeed free structures. However, it is possible to reduce the dimension of these structures by involving logical constraints.…

General Mathematics · Mathematics 2007-05-23 Frederic Dambreville

We propose an information-fusion approach based on belief functions to combine convolutional neural networks. In this approach, several pre-trained DS-based CNN architectures extract features from input images and convert them into mass…

Computer Vision and Pattern Recognition · Computer Science 2021-08-24 Zheng Tong , Philippe Xu , Thierry Denoeux

The paper presents an approach to the modelling of epistemic uncertainty in Conjunction Data Messages (CDM) and the classification of conjunction events according to the confidence in the probability of collision. The approach proposed in…

Artificial Intelligence · Computer Science 2024-02-14 Luis Sanchez , Massimiliano Vasile , Silvia Sanvido , Klaus Mertz , Christophe Taillan

One of the most important aspects in any treatment of uncertain information is the rule of combination for updating the degrees of uncertainty. The theory of belief functions uses the Dempster rule to combine two belief functions defined by…

Artificial Intelligence · Computer Science 2013-04-05 Michael S. K. M. Wong , P. Lingras

This paper investigates the issues of combination and normalization of interval-valued belief structures within the framework of Dempster-Shafer theory of evidence. Existing approaches are reviewed and thoroughly analyzed. The advantages…

Artificial Intelligence · Computer Science 2020-11-30 Miao Qin , Yongchuan Tang

Many information sources are considered into data fusion in order to improve the decision in terms of uncertainty and imprecision. For each technique used for data fusion, the asumption on independance is usually made. We propose in this…

Artificial Intelligence · Computer Science 2015-01-23 Mouloud Kharoune , Arnaud Martin

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…

Artificial Intelligence · Computer Science 2017-03-16 Xinyang Deng , Wen Jiang

In this paper we extend the new family of (quantitative) Belief Conditioning Rules (BCR) recently developed in the Dezert-Smarandache Theory (DSmT) to their qualitative counterpart for belief revision. Since the revision of quantitative as…

Artificial Intelligence · Computer Science 2007-09-06 Florentin Smarandache , Jean Dezert

Within the framework of evidence theory, the confidence functions of different information can be combined into a combined confidence function to solve uncertain problems. The Dempster combination rule is a classic method of fusing…

Statistical Finance · Quantitative Finance 2021-08-09 Tianxiang Zhan , Fuyuan Xiao

This paper develops new methodology, together with related theories, for combining information from independent studies through confidence distributions. A formal definition of a confidence distribution and its asymptotic counterpart (i.e.,…

Statistics Theory · Mathematics 2007-06-13 Kesar Singh , Minge Xie , William E. Strawderman

Dempster-Shafer structure is effective in classical settings for connecting set-valued hypotheses and representing structured ignorance, yet its practical use is limited by combination growth over focal sets and high conflict management. We…

Artificial Intelligence · Computer Science 2025-10-21 Qianli Zhou , Hao Luo , Lipeng Pan , Yong Deng , Eloi Bosse

In this paper, we propose to learn sources independence in order to choose the appropriate type of combination rules when aggregating their beliefs. Some combination rules are used with the assumption of their sources independence whereas…

Artificial Intelligence · Computer Science 2015-01-21 Mouna Chebbah , Mouloud Kharoune , Arnaud Martin , Boutheina Ben Yaghlane

We develop a novel application of hybrid information divergences to analyze uncertainty in steady-state subsurface flow problems. These hybrid information divergences are non-intrusive, goal-oriented uncertainty quantification tools that…

Probability · Mathematics 2019-07-05 Eric Joseph Hall , Markos A. Katsoulakis

Multi-sensor data fusion technology plays an important role in real applications. Because of the flexibility and effectiveness in modelling and processing the uncertain information regardless of prior probabilities, Dempster-Shafer evidence…

Artificial Intelligence · Computer Science 2018-06-06 Fuyuan Xiao

By analyzing the relationships among chance, weight of evidence and degree of beliefwe show that the assertion "probability functions are special cases of belief functions" and the assertion "Dempster's rule can be used to combine belief…

Artificial Intelligence · Computer Science 2013-02-28 Pei Wang

This paper presents several classes of fusion problems which cannot be directly attacked by the classical mathematical theory of evidence, also known as the Dempster-Shafer Theory (DST) either because the Shafer's model for the frame of…

General Mathematics · Mathematics 2007-05-23 Jean Dezert , Florentin Smarandache

One problem to solve in the context of information fusion, decision-making, and other artificial intelligence challenges is to compute justified beliefs based on evidence. In real-life examples, this evidence may be inconsistent,…

Artificial Intelligence · Computer Science 2023-06-07 Daira Pinto Prieto , Ronald de Haan , Aybüke Özgün

Dempster-Shafer evidence theory has been widely used in various fields of applications, because of the flexibility and effectiveness in modeling uncertainties without prior information. However, the existing evidence theory is insufficient…

Artificial Intelligence · Computer Science 2019-06-28 Fuyuan Xiao