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Dempster-Shafer Theory with Smoothness
2013This paper introduces the idea of a modified Dempster-Shafer theory. We adapt the belief characteristic of expert combination by introducing a penalty term which is specific to the investigated object. This approach is motivated by the observation that final decisions in the Dempster-Shafer theory might tend to fluctuations due to variations in sensor ...
Ronald Böck +2 more
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1984
This is a theory of evidence potentially suitable for knowledge-based systems. The system is based on “basic probabilities” which can be visualized as probability masses that are constrained to stay within the subset with which they are associated, but are free to move over every point in the subset.
Alan Bundy, Lincoln Wallen
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This is a theory of evidence potentially suitable for knowledge-based systems. The system is based on “basic probabilities” which can be visualized as probability masses that are constrained to stay within the subset with which they are associated, but are free to move over every point in the subset.
Alan Bundy, Lincoln Wallen
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Fast algorithms for Dempster-Shafer theory
2005The runtime of the usual algorithms computing the transformation of a basic belief assignment into its associated belief function and conversely is an exponential function of the cardinality of (the domain of) the basic belief assignment. In this paper, new algorithms with a polynomial runtime are presented. These algorithms appear to be optimal in the
Kennes, Robert, Smets, Philippe
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Analyzing a Paradox in Dempster-Shafer Theory
2008 Fifth International Conference on Fuzzy Systems and Knowledge Discovery, 2008Zadeh has criticized Dempster-Shafer (D-S) theory with a famous counter-example, where an almost impossible case based on two bodies of evidence produces a certain outcome by Dempster's rule of combination. This paper investigates this intuitive paradox by justifying Dempster's rule of combination under Shafer's interpretation for D-S theory.
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Nonstandard analysis and Dempster-Shafer theory
International Journal of Intelligent Systems, 2000Summary: The theorems, propositions, and examples were concerned about the Dempster-Shafer random variable. Future areas of investigation can include determining theorems analogous to the classical theorems of probability. Also, as more theory is developed, applications of the Dempster-Shafer random variable can be investigated.
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2009
The initial work introducing Dempster-Shafer (D-S) theory is found in Dempster (1967) and Shafer (1976). Since its introduction the very name causes confusion, a more general term often used is belief functions (both used intermittently here). Nguyen (1978) points out, soon after its introduction, that the rudiments of D-S theory can be considered ...
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The initial work introducing Dempster-Shafer (D-S) theory is found in Dempster (1967) and Shafer (1976). Since its introduction the very name causes confusion, a more general term often used is belief functions (both used intermittently here). Nguyen (1978) points out, soon after its introduction, that the rudiments of D-S theory can be considered ...
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Evidential logic and Dempster-Shafer theory
Proceedings of the ACM SIGART international symposium on Methodologies for intelligent systems, 1986Most artificial intelligence applications require reasoning with uncertainty and incompleteness. Such information is not captured in terms of simple true and false values nor in terms of probabilistic estimates when relevant statistical data are lacking.
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Default logic and Dempster-Shafer theory
2005A new version of Reiter's Default Logic is developed which has a number of advantages: it is computationally much simpler and has some more intuitive properties, such as cumulativity. Furthermore, it is shown that this Default Logic is a limiting case of a Dempster-Shafer framework, thereby demonstrating a strong connection between two apparently very ...
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AN EXERCISE IN DEMPSTER-SHAFER THEORY
International Journal of General Systems, 1992We discuss a concrete example of the use of the Dempster rule presented by Weichselberger and Pohlmann15 and show how their approach has to be modified to yield an intuitively adequate result. At the end we mention a possibility of a similar modification of their approach to MYCIN-like systems.
P. HAJEK, D. HARMANEC
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Fundamentals of the Dempster-Shafer theory
SPIE Proceedings, 2012In this paper, I discuss the basic notions of the Dempster Shafer theory. Using a simple engineering example, I highlight sources of confusion in the Dempster Shafer literature, and some questions that arise in the course of applying the Dempster Shafer algorithm. Finally, I discuss the measure theoretic foundation that reveals the intimate connections
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