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A considerable body of work in AI has been concerned with aggregating measures of confirmatory and disconfirmatory evidence for a common set of propositions. Claiming classical probability to be inadequate or inappropriate, several…

人工智能 · 计算机科学 2013-04-15 Benjamin N. Grosof

The total uncertainty measurement of basic probability assignment (BPA) in Dempster-Shafer evidence theory (DSET) has always been an open issue. Although some scholars put forward various measurements and entropies of BPA, due to the…

信息论 · 计算机科学 2021-10-12 Qianli Zhou , Yong Deng

Stemming from de Finetti's work on finitely additive coherent probabilities, the paradigm of coherence has been applied to many uncertainty calculi in order to remove structural restrictions on the domain of the assessment. Three possible…

概率论 · 数学 2021-06-30 Davide Petturiti , Barbara Vantaggi

Decision making is still an open issue in the application of Dempster-Shafer evidence theory. A lot of works have been presented for it. In the transferable belief model (TBM), pignistic probabilities based on the basic probability as-…

人工智能 · 计算机科学 2014-06-09 Meizhu Li , Qi Zhang , Yong Deng

We discuss the Dempster-Shafer theory of evidence. We introduce a concept of monotonicity which is related to the diminution of the range between belief and plausibility. We show that the accumulation of knowledge in this framework exhibits…

人工智能 · 计算机科学 2013-04-08 Ronald R. Yager

As a generalization of Dempster-Shafer theory, D number theory provides a framework to deal with uncertain information with non-exclusiveness and incompleteness. However, some basic concepts in D number theory are not well defined. In this…

人工智能 · 计算机科学 2019-12-03 Xinyang Deng

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 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…

人工智能 · 计算机科学 2024-02-14 Luis Sanchez , Massimiliano Vasile , Silvia Sanvido , Klaus Mertz , Christophe Taillan

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

Inappropriate use of Dempster's rule of combination has led some authors to reject the Dempster-Shafer model, arguing that it leads to supposedly unacceptable conclusions when defaults are involved. A most classic example is about the…

人工智能 · 计算机科学 2013-04-05 Philippe Smets , Yen-Teh Hsia

This is a working paper summarizing results of an ongoing research project whose aim is to uniquely characterize the uncertainty measure for the Dempster-Shafer Theory. A set of intuitive axiomatic requirements is presented, some of their…

人工智能 · 计算机科学 2013-02-21 David Harmanec

An elaboration of Dempster's method of constructing belief functions suggests a broadly applicable strategy for constructing lower probabilities under a variety of evidentiary constraints.

人工智能 · 计算机科学 2013-03-08 Carl G. Wagner , Bruce Tonn

Non-deductive reasoning systems are often {\em representation dependent}: representing the same situation in two different ways may cause such a system to return two different answers. Some have viewed this as a significant problem. For…

人工智能 · 计算机科学 2007-05-23 Joseph Y. Halpern , Daphne Koller

The belief function approach to uncertainty quantification as proposed in the Demspter-Shafer theory of evidence is established upon the general mathematical models for set-valued observations, called random sets. Set-valued predictions are…

机器学习 · 计算机科学 2022-06-16 Shireen Kudukkil Manchingal , Fabio Cuzzolin

In the canonical examples underlying Shafer-Dempster theory, beliefs over the hypotheses of interest are derived from a probability model for a set of auxiliary hypotheses. Beliefs are derived via a compatibility relation connecting the…

人工智能 · 计算机科学 2013-04-11 Kathryn Blackmond Laskey

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

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

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

In this paper, we suggest marrying Dempster-Shafer (DS) theory with Knowledge Representation (KR). Born out of this marriage is the definition of "Dempster-Shafer Belief Bases", abstract data types representing uncertain knowledge that use…

人工智能 · 计算机科学 2013-04-05 Alessandro Saffiotti

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