Results 11 to 20 of about 16,108,721 (331)

Total belief theorem and conditional belief functions [PDF]

open access: yesInternational Journal of Intelligent Systems, 2018
In this paper, new theoretical results for reasoning with belief functions are obtained and discussed. After a judicious decomposition of the set of focal elements of a belief function, we establish the total belief theorem (TBT).
J. Dezert, A. Tchamova, Deqiang Han
semanticscholar   +4 more sources

Depth-bounded Belief functions [PDF]

open access: yesInternational Journal of Approximate Reasoning, 2020
This paper introduces and investigates Depth-bounded Belief functions, a logic-based representation of quantified uncertainty. Depth-bounded Belief functions are based on the framework of Depth-bounded Boolean logics [4], which provide a hierarchy of ...
Baldi P., Hosni H.
core   +4 more sources

On conditional belief functions [PDF]

open access: yesInternational Journal of Approximate Reasoning, 1994
Criteria for establishing conditional belief functions are suggested, and the advantages and disadvantages of conditional belief functions that have been suggested before are discussed.
Arasta, Fahard, Yu, Chunhai
core   +3 more sources

A correlation coefficient of belief functions [PDF]

open access: yesInternational Journal of Approximate Reasoning, 2016
How to manage conflict is still an open issue in Dempster–Shafer (D-S) evidence theory. The conflict coefficient k in D-S evidence theory cannot represent conflict reasonably, especially sometimes two Basic Probability Assignments (BPAs) are identical ...
Wen Jiang
semanticscholar   +6 more sources

Distributed combination of belief functions

open access: yesInformation Fusion, 2021
We consider the problem of combining belief functions in a situation where pieces of evidence are held by agents at the node of a communication network, and each agent can only exchange information with its neighbors.
T. Denoeux
semanticscholar   +4 more sources

Belief Functions on Distributive Lattices

open access: yesProceedings of the AAAI Conference on Artificial Intelligence, 2021
The Dempster-Shafer theory of belief functions is an important approach to deal with uncertainty in AI.In the theory, belief functions are defined on Boolean algebras of events. In many applications of belief functions in real world problems, however,
Zhou, Chunlai
core   +4 more sources

Belief functions on lattices [PDF]

open access: yesInternational Journal of Intelligent Systems, 2009
International audienceWe extend the notion of belief function to the case where the underlying structure is no more the Boolean lattice of subsets of some universal set, but any lattice, which we will endow with a minimal set of properties according to ...
Grabisch, Michel
core   +8 more sources

Hidden Conflicts of Belief Functions

open access: yesInternational Journal of Computational Intelligence Systems, 2020
In this paper, hidden conflicts of belief functions are observed in the case where the sum of all multiples of the conflicting belief masses equals zero.
Milan Daniel, Václav Kratochvíl
doaj   +3 more sources

Algorithms for combining belief functions [PDF]

open access: yesInternational Journal of Approximate Reasoning, 1992
In general, combining Dempster-Shafer belief functions over a frame of n elements is a problem with exponential time complexity in n. This is a consequence of an exponential number of focal elements being generated when the focal elements of the belief ...
Milidiú, Ruy Luiz   +1 more
core   +3 more sources

Belief Functions on Real Numbers. [PDF]

open access: yesInternational Journal of Approximate Reasoning, 2005
We generalize the TBM (transferable belief model) to the case where the frame of discernment is the extended set of real numbers R = [−∞, ∞], under the assumptions that ‘masses’ can only be given to intervals.
Smets, Philippe, Philippe Smets
core   +5 more sources

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