A complete characterization of all weakly additive measures and of all valuations on the canonical extension of any finite MV-chain

DOI10.1016/j.fss.2009.06.004zbMath1195.06008OpenAlexW2012618254MaRDI QIDQ969587

Siegfried Weber

Publication date: 7 May 2010

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

Full work available at URL: https://doi.org/10.1016/j.fss.2009.06.004

zbMATH Keywords

stateMV-algebravaluationuncertainty measureadditive measurecanonical extensionGirard algebrafinite MV-chainweakly additive measure

Mathematics Subject Classification ID

Fuzzy measure theory (28E10) MV-algebras (06D35) Ordered semigroups and monoids (06F05)

Related Items (3)

Measure-free conditioning and extensions of additive measures on finite MV-algebras ⋮ Extensions of states on MV-quantales ⋮ Conditioning for Boolean Subsets, Indicator Functions and Fuzzy Subsets

Cites Work

• Conditional probability on MV-algebras
• 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
• Algebraic Analysis of Many Valued Logics
• Quantales and (noncommutative) linear logic
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