Journal Article10.1016/0020-0255(87)90007-7
On the Dempster-Shafer framework and new combination rules
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TL;DR: The basic concepts of the Dempster-Shafer approach, basic probability assignments, belief functions, and probability functions are discussed, and how to represent various types of knowledge in this framework is discussed.
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About: This article is published in Information Sciences. The article was published on 01 Mar 1987. The article focuses on the topics: Dempster–Shafer theory & Pignistic probability.
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Citations
Assimilating Non-Probabilistic Assessments of the Estimation of Uncertainty Bias in Expert Judgment Elicitation Using an Evidence Based Approach in High Consequence Conceptual Designs
Colin K. S. Barrows
- 01 Jan 2006
TL;DR: This document reports a developed methodology that allows for the cognitive bias, estimation of uncertainty, to be elucidated to improve the quality of elicited data.
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Merging successive possibility distributions for trust estimation under uncertainty in multi-agent systems
Sina Honari,Brigitte Jaumard,Jamal Bentahar +2 more
- 01 Jan 2012
TL;DR: This paper proposes a model for such an evaluation where possibility theory is used to address the uncertainty of an agent’s trust and obtained the trust model of a target agent by iteratively merging the possibility distributions.
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An evidential and genetic method for cooperative learning systems
Toufik Benouhiba,Jean-Marc Nigro +1 more
TL;DR: The cooperative system uses Dempster-Shafer theory as a support to make data fusion due to the fact that the Evidential Classifier System is itself based on this theory, and investigates some methods to make cooperation in this system.
2
Estimation de la fiabilité des sources des bases de données évidentielles.
Mouna Chebbah,Arnaud Martin,Boutheina Ben Yaghlane +2 more
- 05 Jan 2011
TL;DR: A generalized method for sources' reliability estimation based on distance measure and taking into account all its belief functions stored in an evidential database is suggested, which insures the same level of relative reliabilities for all belief functions supplied by the same source and this level reflects the source's global reliability.
2
General geometry of belief function combination
Fabio Cuzzolin
- 17 Sep 2018
TL;DR: This paper builds on previous work on the geometry of Dempster's rule to investigate the geometric behaviour of various other combination rules, including Yager’s, Dubois’, and disjunctive combination, starting from the case of binary frames of discernment.
2
References
•Book
A mathematical theory of evidence
Glenn Shafer
- 01 Jan 1976
TL;DR: This book develops an alternative to the additive set functions and the rule of conditioning of the Bayesian theory: set functions that need only be what Choquet called "monotone of order of infinity." and Dempster's rule for combining such set functions.
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Upper and Lower Probabilities Induced by a Multivalued Mapping.
Arthur P. Dempster
- 01 Jan 2008
TL;DR: In this paper, a multivalued mapping from a space X to a space S carries a probability measure defined over subsets of X into a system of upper and lower probabilities over S. Some basic properties of such systems are explored in Sects. 1 and 2.
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Upper and Lower Probabilities Induced by a Multivalued Mapping
TL;DR: A distinctive feature of the present approach is a rule for conditioning, or more generally, arule for combining sources of information, as discussed in Sects.