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Modeling Belief Propensity Degree: Measures of Evenness and Diversity of Belief Functions
IEEE Transactions on Systems, Man, and Cybernetics: Systems, 2023Based on Klir’s framework of uncertainty, the total uncertainty (also called ambiguity) of belief function is linear addition of discord and nonspecificity.
Qianli Zhou, É. Bossé, Yong Deng
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A new divergence measure for belief functions in D-S evidence theory for multisensor data fusion
Information Sciences, 2020Dempster–Shafer (D–S) evidence theory is useful for handling uncertainty problems in multisensor data fusion. However, the question of how to handle highly conflicting evidence in D–S evidence theory is still an open issue.
Fuyuan Xiao
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Conditional Belief Functions Versus Proper Belief Functions
2003Dempster-Shafer conditional belief functions are generally not usable because composition of conditional belief functions is not granted to yield joint multivariate belief distribution, as some values of the belief distribution may be negative [1,3].
Mieczyslaw Alojzy Klopotek +1 more
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Functional belief and judgmental belief
Synthese, 2017A division between functional (animal) belief, on the one hand, and judgmental (reflective) belief, on the other, is central to Sosa’s two-tier virtue epistemology. For Sosa, mere functional belief is constituted by a first-order affirmation (or, perhaps, a simple disposition to affirm). In contrast, a judgmental belief is an intentional affirmation; a
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APPROXIMATION OF BELIEF FUNCTIONS
International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems, 2003This paper addresses the approximation of belief functions by probability functions where the approximation is based on minimizing the Euclidean distance. First of all, we simplify this optimization problem so it becomes equivalent to a standard problem in linear algebra.
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1992
The present state of development of Dempster-Shafer theory is surveyed and its place among theories of dealing with uncertainty in AI is discussed. No knowledge of the theory is assumed.
Petr Hájek, David Harmanec
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The present state of development of Dempster-Shafer theory is surveyed and its place among theories of dealing with uncertainty in AI is discussed. No knowledge of the theory is assumed.
Petr Hájek, David Harmanec
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Conflict management in information fusion with belief functions
Information Quality in Information Fusion and Decision Making, 2017In Information fusion, the conflict is an important concept. Indeed, combining several imperfect experts or sources allows conflict. In the theory of belief functions, this notion has been discussed a lot.
Arnaud Martin
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Analyzing belief function networks with conditional beliefs
2011 11th International Conference on Intelligent Systems Design and Applications, 2011The success of Bayesian networks is due to their capability to simply represent (in)dependence and to be a compact representation of a full joint distribution of the set of random variables involved in the studied system. Since belief function theory is known as a general framework to reason under uncertainty, it is expected that belief function ...
Imen Boukhris +2 more
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Bayesian updating and belief functions
IEEE Transactions on Systems, Man, and Cybernetics, 1992In a situation of uncertainty, the probability measure \(P\) is only known to belong to some set of probability measures \(\mathcal P\). Having observed a certain event \(E\), the true probability measure belongs to the set \({\mathcal P}^ E\) of conditionals of the members \(P\) of \(\mathcal P\) with respect to \(E\). Representing \({\mathcal P}^ E\)
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Earth Mover’s divergence of belief function
Computational and Applied Mathematics, 2022zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Peilin Liu, Fuyuan Xiao
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