DEMPSTER BELIEF FUNCTIONS ARE BASED ON THE PRINCIPLE OF COMPLETE IGNORANCE

DOI10.1142/S0218488500000198zbMath1113.68538OpenAlexW2178281810MaRDI QIDQ3427880

Peter P. Wakker

Publication date: 27 March 2007

Published in: International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218488500000198

zbMATH Keywords

ambiguityBayesianismbelief functionsnonadditive measurescomplete ignorance

Mathematics Subject Classification ID

Reasoning under uncertainty in the context of artificial intelligence (68T37)

Related Items (9)

Exchangeable capacities, parameters and incomplete theories ⋮ Choquet operators and belief functions ⋮ Dominance of capacities by \(k\)-additive belief functions ⋮ Decision with Dempster-Shafer belief functions: decision under ignorance and sequential consistency ⋮ An interval-valued utility theory for decision making with Dempster-Shafer belief functions ⋮ A decision theory for partially consonant belief functions ⋮ Games in context: equilibrium under ambiguity for belief functions ⋮ Decision-making with partial information ⋮ Decision-making with belief functions: a review

Cites Work

• Decision analysis using belief functions
• Default reasoning and possibility theory
• Coherent bets under partially resolving uncertainty and belief functions
• Linear utility theory for belief functions
• Decision making with belief functions: Compatibility and incompatibility with the sure-thing principle
• Expected utility with lower probabilities
• The transferable belief model
• Rational Behavior under Complete Ignorance
• Canonical Representation of Set Functions
• Upper and Lower Probabilities Induced by a Multivalued Mapping
• A Definition of Subjective Probability

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