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A recent developing trend in clustering is the advancement of algorithms that not only identify clusters within data, but also express and capture the uncertainty of cluster membership. Evidential clustering addresses this by using the…

软件工程 · 计算机科学 2025-02-11 Armel Soubeiga , Violaine Antoine

The Dempster-Shafer theory of evidence accumulation is one of the main tools for combining data obtained from multiple sources. In this paper a special case of combination of two bodies of evidence with non-zero conflict coefficient is…

概率论 · 数学 2011-07-04 Andrzej K. Brodzik , Robert H. Enders

Dempster-Shafer evidence theory is a powerful tool in information fusion. When the evidence are highly conflicting, the counter-intuitive results will be presented. To adress this open issue, a new method based on evidence distance of…

人工智能 · 计算机科学 2014-04-21 Hongming Mo , Yong Deng

Unsupervised classification is a fundamental machine learning problem. Real-world data often contain imperfections, characterized by uncertainty and imprecision, which are not well handled by traditional methods. Evidential clustering,…

机器学习 · 计算机科学 2025-08-08 Victor F. Lopes de Souza , Karima Bakhti , Sofiane Ramdani , Denis Mottet , Abdelhak Imoussaten

The combination of evidence in Dempster-Shafer theory is compared with the combination of evidence in probabilistic logic. Sufficient conditions are stated for these two methods to agree. It is then shown that these conditions are minimal…

人工智能 · 计算机科学 2013-04-11 Daniel Hunter

The concept of movable evidence masses that flow from supersets to subsets as specified by experts represents a suitable framework for reasoning under uncertainty. The mass flow is controlled by specialization matrices. New evidence is…

人工智能 · 计算机科学 2013-03-26 Rudolf Kruse , Detlef Nauck , Frank Klawonn

Rule based classifiers that use the presence and absence of key sub-strings to make classification decisions have a natural mechanism for quantifying the uncertainty of their precision. For a binary classifier, the key insight is to treat…

机器学习 · 计算机科学 2020-05-20 James Nutaro , Ozgur Ozmen

In the current versions of the Dempster-Shafer theory, the only essential restriction on the validity of the rule of combination is that the sources of evidence must be statistically independent. Under this assumption, it is permissible to…

人工智能 · 计算机科学 2013-04-12 Lotfi Zadeh , Anca Ralescu

Efficient modeling of uncertain information in real world is still an open issue. Dempster-Shafer evidence theory is one of the most commonly used methods. However, the Dempster-Shafer evidence theory has the assumption that the hypothesis…

人工智能 · 计算机科学 2014-05-14 Yong Deng

Dempster-Shafer theory is widely applied to uncertainty modelling and knowledge reasoning due to its ability of expressing uncertain information. However, some conditions, such as exclusiveness hypothesis and completeness constraint, limit…

人工智能 · 计算机科学 2014-05-13 Xinyang Deng , Yong Deng

Recent work on explainable clustering allows describing clusters when the features are interpretable. However, much modern machine learning focuses on complex data such as images, text, and graphs where deep learning is used but the raw…

机器学习 · 计算机科学 2021-05-26 Hongjing Zhang , Ian Davidson

Dempster/Shafer (D/S) theory has been advocated as a way of representing incompleteness of evidence in a system's knowledge base. Methods now exist for propagating beliefs through chains of inference. This paper discusses how rules with…

人工智能 · 计算机科学 2013-04-10 Paul K. Black , Kathryn Blackmond Laskey

In this paper we develop methods for selection of templates and use these templates to recluster an already performed Dempster-Shafer clustering taking into account intelligence to template fit during the reclustering phase. By this process…

人工智能 · 计算机科学 2007-05-23 Johan Schubert

A new method for multinomial inference is proposed by representing the cell probabilities as unordered segments on the unit interval and following Dempster-Shafer (DS) theory. The resulting DS posterior is then strengthened to improve…

统计方法学 · 统计学 2024-10-10 Earl C. Lawrence , Alexander C. Murph , Scott A. Vander Wiel , Chaunhai Liu

We revisit Zadeh's notion of "evidence of the second kind" and show that it provides the foundation for a general theory of epistemic random fuzzy sets, which generalizes both the Dempster-Shafer theory of belief functions and possibility…

人工智能 · 计算机科学 2022-02-17 Thierry Denoeux

The conditioning in the Dempster-Shafer Theory of Evidence has been defined (by Shafer \cite{Shafer:90} as combination of a belief function and of an "event" via Dempster rule. On the other hand Shafer \cite{Shafer:90} gives a…

人工智能 · 计算机科学 2017-06-09 Andrzej Matuszewski , Mieczysław A. Kłopotek

This work proposes an evidence-retrieval mechanism for uncertainty-aware decision-making that replaces a single global cutoff with an evidence-conditioned, instance-adaptive criterion. For each test instance, proximal exemplars are…

计算机视觉与模式识别 · 计算机科学 2025-09-18 Hassan Gharoun , Mohammad Sadegh Khorshidi , Kasra Ranjbarigderi , Fang Chen , Amir H. Gandomi

A random set is a generalisation of a random variable, i.e. a set-valued random variable. The random set theory allows a unification of other uncertainty descriptions such as interval variable, mass belief function in Dempster-Shafer theory…

数值分析 · 数学 2018-11-27 Truong-Vinh Hoang , Hermann G. Matthies

The analysis of decision making under uncertainty is closely related to the analysis of probabilistic inference. Indeed, much of the research into efficient methods for probabilistic inference in expert systems has been motivated by the…

人工智能 · 计算机科学 2013-03-25 Ross D. Shachter , Mark Alan Peot

We first discuss certain problems with the classical probabilistic approach for assessing forensic evidence, in particular its inability to distinguish between lack of belief and disbelief, and its inability to model complete ignorance…

概率论 · 数学 2017-02-02 Timber Kerkvliet , Ronald Meester