De Finetti's no-Dutch-book criterion for Gödel logic
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Publication:1005945
DOI10.1007/s11225-008-9142-5zbMath1165.03008OpenAlexW2038051410MaRDI QIDQ1005945
Vincenzo Marra, Stefano Aguzzoli, Brunella Gerla
Publication date: 17 March 2009
Published in: Studia Logica (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11225-008-9142-5
Probability measures on topological spaces (60B05) Probability and inductive logic (03B48) MV-algebras (06D35) Many-valued logic (03B50) Axioms; other general questions in probability (60A05)
Related Items (18)
Extending possibilistic logic over Gödel logic ⋮ Partially undetermined many-valued events and their conditional probability ⋮ A logical characterization of coherence for imprecise probabilities ⋮ Corrigendum to: ``Towards a probability theory for product logic: states, integral representation and reasoning ⋮ Free algebras, states and duality for the propositional \(\text{Gödel}_{\Delta}\) and drastic product logics ⋮ Towards a probability theory for product logic: states, integral representation and reasoning ⋮ On standard completeness and finite model property for a probabilistic logic on Łukasiewicz events ⋮ Probability over Płonka sums of Boolean algebras: states, metrics and topology ⋮ Probability measures in the logic of nilpotent minimum ⋮ Representing uncertainty on set-valued variables using belief functions ⋮ States of finite GBL-algebras with monoidal sum ⋮ Rota's Fubini lectures: the first problem ⋮ De Finetti's no-Dutch-book criterion for Gödel logic ⋮ Conditionals and Independence in Many-Valued Logics ⋮ Open Partitions and Probability Assignments in Gödel Logic ⋮ Exploring Extensions of Possibilistic Logic over Gödel Logic ⋮ Interpretation of De Finetti coherence criterion in Łukasiewicz logic ⋮ Non-standard probability, coherence and conditional probability on many-valued events
Cites Work
- Bookmaking over infinite-valued events
- De Finetti's no-Dutch-book criterion for Gödel logic
- Metamathematics of fuzzy logic
- MV-algebras, multiple bets and subjective states
- De Finetti theorem and Borel states in \([0, 1\)-valued algebraic logic]
- Computing coproducts of finitely presented Gödel algebras
- Symbolic and Quantitative Approaches to Reasoning with Uncertainty
- Logic with truth values in A linearly ordered heyting algebra
- Free L-algebras
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