Coherent updating of non-additive measures
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Publication:473382
DOI10.1016/j.ijar.2014.05.003zbMath1388.68271OpenAlexW2087269699MaRDI QIDQ473382
Publication date: 24 November 2014
Published in: International Journal of Approximate Reasoning (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.ijar.2014.05.003
natural extensionbelief functionscoherent lower previsions\(n\)-monotonicityminitive measuresregular extension
Reasoning under uncertainty in the context of artificial intelligence (68T37) Probabilistic measure theory (60A10) Axioms; other general questions in probability (60A05)
Related Items (10)
Conformity and independence with coherent lower previsions ⋮ Conditional belief functions as lower envelopes of conditional probabilities in a finite setting ⋮ Modelling epistemic irrelevance with choice functions ⋮ Generalized comonotonicity and new axiomatizations of Sugeno integrals on bounded distributive lattices ⋮ Compatibility, desirability, and the running intersection property ⋮ When upper conditional probabilities are conditional possibility measures ⋮ Reconciling Savage's and Luce's modeling of uncertainty: the best of both worlds ⋮ Judicious judgment meets unsettling updating: dilation, sure loss and Simpson's paradox ⋮ Conditional submodular Choquet expected values and conditional coherent risk measures ⋮ Dilation properties of coherent Nearly-Linear models
Cites Work
- Notes on conditional previsions
- \(n\)-monotone exact functionals
- Updating coherent previsions on finite spaces
- Default reasoning and possibility theory
- Statistics with vague data
- Generalized finite differences and Bayesian conditioning of Choquet capacities
- Finitely additive conditional probabilities, conglomerability and disintegrations
- Fuzzy sets as a basis for a theory of possibility
- Bayesian conditioning in possibility theory
- Non-additive measure and integral
- Locally strong coherence in inference processes
- Towards a unified theory of imprecise probability
- Locally strong coherence and inference with lower-upper probabilities
- Coherence of rules for defining conditional possibility
- Conditional expectation for monotone measures, the discrete case
- A rule for updating ambiguous beliefs
- Supremum preserving upper probabilities
- Measures of uncertainty in expert systems
- Lower previsions induced by filter maps
- A survey of the theory of coherent lower previsions
- Integration and conditioning in numerical possibility theory
- Conglomerable natural extension
- Updating Choquet beliefs
- Probability and time
- Statistical reasoning with set-valued information: ontic vs. epistemic views
- Theory of capacities
- POSSIBILITY THEORY II: CONDITIONAL POSSIBILITY
- Introduction to an Algebra of Belief Functions on Three-Element Frame of Discernment — A Quasi Bayesian Case
- The concept of conditional fuzzy measure
- Three Scenarios for the Revision of Epistemic States
- On the logic of theory change: Partial meet contraction and revision functions
- Bayesian updating and belief functions
- RELATIONSHIPS BETWEEN POSSIBILITY MEASURES AND NESTED RANDOM SETS
- An Introduction to Random Sets
- Upper and Lower Probabilities Induced by a Multivalued Mapping
- Representation of conditional probability measures on Boolean algebras
- The role of coherence in eliciting and handling imprecise probabilities and its application to medical diagnosis
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