Measure-free conditioning and extensions of additive measures on finite MV-algebras

DOI10.1016/j.fss.2010.04.011zbMath1226.06008OpenAlexW2018763781MaRDI QIDQ622033

Siegfried Weber

Publication date: 31 January 2011

Published in: Fuzzy Sets and Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.fss.2010.04.011

zbMATH Keywords

stateadditive measurecanonical extensionconditional eventconvex combination of measuresfinite MV-algebraGirard algebrameasure-free conditioning

Mathematics Subject Classification ID

Fuzzy measure theory (28E10) MV-algebras (06D35)

Related Items (2)

Extensions of states on MV-quantales ⋮ Conditioning for Boolean Subsets, Indicator Functions and Fuzzy Subsets

Cites Work

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• Conditional probability on MV-algebras
• Every state on semisimple MV-algebra is integral
• A complete characterization of all weakly additive measures and of all valuations on the canonical extension of any finite MV-chain
• Uncertainty measures -- problems concerning additivity
• Conditioning on MV-algebras and additive measures. I
• Logic of infinite quantum systems
• Algebraic foundations of many-valued reasoning
• Averaging the truth-value in Łukasiewicz logic
• Uncertainty measures, decomposability and admissibility
• The axioms and algebra of intuitive probability
• Algebraic Analysis of Many Valued Logics
• Quantales and (noncommutative) linear logic

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