Probability measures in the logic of nilpotent minimum
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Publication:965904
DOI10.1007/s11225-010-9228-8zbMath1209.03054OpenAlexW2067787770MaRDI QIDQ965904
Stefano Aguzzoli, Brunella Gerla
Publication date: 26 April 2010
Published in: Studia Logica (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11225-010-9228-8
probability measureMV-algebraGödel logicnilpotent minimum logicNM-algebraKroupa-Panti theoremMV-algebraic state
Other algebras related to logic (03G25) Measures on Boolean rings, measure algebras (28A60) MV-algebras (06D35) Many-valued logic (03B50) Axioms; other general questions in probability (60A05)
Related Items (8)
First-order nilpotent minimum logics: first steps ⋮ Generalized Bosbach and Riečan states on nucleus-based-Glivenko residuated lattices ⋮ On some questions concerning the axiomatisation of WNM-algebras and their subvarieties ⋮ 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 ⋮ Probability over Płonka sums of Boolean algebras: states, metrics and topology ⋮ Nuclei and conuclei on residuated lattices ⋮ A temporal semantics for nilpotent minimum logic
Cites Work
- Normal forms and free algebras for some extensions of MTL
- Every state on semisimple MV-algebra is integral
- De Finetti's no-Dutch-book criterion for Gödel logic
- Monoidal t-norm based logic: Towards a logic for left-continuous t-norms
- On the structure of rotation-invariant semigroups
- A characterization of truth-functions in the nilpotent minimum logic
- Averaging the truth-value in Łukasiewicz logic
- De Finetti theorem and Borel states in \([0, 1\)-valued algebraic logic]
- Computing coproducts of finitely presented Gödel algebras
- Invariant Measures in Free MV-Algebras
- Spectral Duality for Finitely Generated Nilpotent Minimum Algebras, with Applications
- Symbolic and Quantitative Approaches to Reasoning with Uncertainty
- Free nilpotent minimum algebras
- A note on functions associated with Gödel formulas
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