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相关论文: Generalizing the Dempster-Shafer Theory to Fuzzy S…

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We introduce a general theory of epistemic random fuzzy sets for reasoning with fuzzy or crisp evidence. This framework generalizes both the Dempster-Shafer theory of belief functions, and possibility theory. Independent epistemic random…

人工智能 · 计算机科学 2024-05-08 Thierry Denoeux

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

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…

人工智能 · 计算机科学 2019-06-28 Fuyuan Xiao

The issue of confidence factors in Knowledge Based Systems has become increasingly important and Dempster-Shafer (DS) theory has become increasingly popular as a basis for these factors. This paper discusses the need for an empirical…

人工智能 · 计算机科学 2013-04-15 John F. Lemmer

In this paper, we generalize the basic notions and results of Dempster-Shafer theory from predicates to formal concepts. Results include the representation of conceptual belief functions as inner measures of suitable probability functions,…

In this paper, we generalize the belief function on complex plane from another point of view. We first propose a new concept of complex mass function based on the complex number, called complex basic belief assignment, which is a…

人工智能 · 计算机科学 2019-07-11 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…

人工智能 · 计算机科学 2013-02-28 Pei Wang

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

Dempster-Shafer Theory (DST) generalizes Bayesian probability theory, offering useful additional information, but suffers from a high computational burden. A lot of work has been done to reduce the complexity of computations used in…

人工智能 · 计算机科学 2021-07-15 Maxime Chaveroche , Franck Davoine , Véronique Cherfaoui

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

Dempster-Shafer Theory (DST) generalizes Bayesian probability theory, offering useful additional information, but suffers from a much higher computational burden. A lot of work has been done to reduce the time complexity of information…

离散数学 · 计算机科学 2021-01-12 Maxime Chaveroche , Franck Davoine , Véronique Cherfaoui

The Dempster--Shafer (DS) theory is a powerful tool for probabilistic reasoning based on a formal calculus for combining evidence. DS theory has been widely used in computer science and engineering applications, but has yet to reach the…

统计方法学 · 统计学 2010-11-04 Ryan Martin , Jianchun Zhang , Chuanhai Liu

Determining the reliability of evidence sources is a crucial topic in Dempster-Shafer theory (DST). Previous approaches have addressed high conflicts between evidence sources using discounting methods, but these methods may not ensure the…

人工智能 · 计算机科学 2024-11-05 Juntao Xu , Tianxiang Zhan , Yong Deng

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 (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

Design of a fuzzy rule based classifier is proposed. The performance of the classifier for multispectral satellite image classification is improved using Dempster- Shafer theory of evidence that exploits information of the neighboring…

计算机视觉与模式识别 · 计算机科学 2011-04-11 Arijit Laha , J. Das

The computational complexity of reasoning within the Dempster-Shafer theory of evidence is one of the main points of criticism this formalism has to face. To overcome this difficulty various approximation algorithms have been suggested that…

人工智能 · 计算机科学 2013-02-18 Mathias Bauer

The process of information fusion needs to deal with a large number of uncertain information with multi-source, heterogeneity, inaccuracy, unreliability, and incompleteness. In practical engineering applications, Dempster-Shafer evidence…

人工智能 · 计算机科学 2020-04-07 Dongdong Wu , Zijing Liu , Yongchuan Tang

One important obstacle in applying Dempster-Shafer Theory (DST) is its relationship to frequencies. In particular, there exist serious difficulties in finding factorizations of belief functions from data. In probability theory…

人工智能 · 计算机科学 2018-12-17 Andrzej Matuszewski , Mieczysław A. Kłopotek

The decision-making process significantly influences the predictions of machine learning models. This is especially important in rule-based systems such as Learning Fuzzy-Classifier Systems (LFCSs) where the selection and application of…

机器学习 · 计算机科学 2025-06-05 Hiroki Shiraishi , Hisao Ishibuchi , Masaya Nakata
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