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Sherlock Holmes Doesn't Play Dice: The Mathematics of Uncertain Reasoning When Something May Happen, That You Are Not Even Able to Figure Out. [PDF]
Entropy (Basel)Fioretti G.
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An Extended Epistemic Framework Beyond Probability for Quantum Information Processing with Applications in Security, Artificial Intelligence, and Financial Computing. [PDF]
Entropy (Basel)Iovane G.
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DECISION MAKING UNDER DEMPSTER-SHAFER UNCERTAINTIES
International Journal of General Systems, 1992We are concerned here with the problem of selecting an optimal alternative in situations in which there exists some uncertainty in our knowledge of the state of the world. We show how the Dempster–Shafer belief structure provides a unifying framework for representing various types of uncertainties. We also show how the OWA aggregation operators provide
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Optical parallel Dempster-Shafer calculations
Applied Optics, 1989The Dempster-Shafer formalism allows us to update certainties (both beliefs and plausibilities) by taking into account indications from new knowledge sources. We show here that optical parallel Dempster's rule of combination computation is practical because all operations can be broken up into two which have previously been shown to be ideal for optics:
H J, Caulfield, I, Kadar
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MODELLING DEPENDENCE IN DEMPSTER-SHAFER THEORY
International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems, 2007Belief functions can only be combined by Dempster's rule when they are based on independent items of evidence. This paper proposes a method for handling the case where there is some probabilistic dependence among the items of evidence. The method relies on compact representations of joint probability distributions on the assumption variables associated
Monney, Paul-Andre, Chan, Moses
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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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Geospatial Modeling Using Dempster–Shafer Theory
IEEE Transactions on Cybernetics, 2017Uncertainty in spatial geometrical issues is represented using Dempster-Shafer (D-S) theory. Interval approaches are used for D-S uncertainty of spatial locations and the associated arithmetic operations on such intervals described. Categories of uncertainty for points and lines are defined using interval formulations.
Paul A, Elmore +2 more
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Fairness-by-design dempster-shafer reasoning system
Signal Processing, Sensor/Information Fusion, and Target Recognition XXX, 2021Dempster Shafer theory (DST) of evidence is an effective approach for decision analysis, especially in cases of high uncertainty. It is an evidence based probabilistic reasoning technique which differs from the traditional decision support methods by introducing belief functions not only on sets of propositions but also on all ...
Thanos, Konstantinos-Georgios +2 more
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Dempster-shafer approach in propositional logic
International Journal of Intelligent Systems, 1993Summary: A general framework of uncertainty reasoning based on Dempster-Shafer's theory is proposed in the context of logic calculus. Under this framework, any inference can be conducted without much computational complexity. Furthermore, it avoids the problems of considering conflicting information and common universe when two pieces of evidence are ...
Zhu, Qing, Lee, E. S.
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Generalized Dempster–Shafer Structures
IEEE Transactions on Fuzzy Systems, 2019We review the Dempster–Shafer (D–S) belief structure and discuss the measures of plausibility and belief and other measures that can be associated with this uncertainty modeling structure. We provide a view of the D–S structure as a two-step process, the first is the selection of one of the focal elements and the second is the selection of an object ...
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