Extensions of states on MV-quantales

DOI10.1016/j.fss.2011.11.007zbMath1251.06005OpenAlexW2065303894MaRDI QIDQ1759621

Remigijus Petras Gylys

Publication date: 21 November 2012

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

Full work available at URL: https://doi.org/10.1016/j.fss.2011.11.007

zbMATH Keywords

stateMV-algebraGirard quantalecanonical extensionGirard algebra\(n\)-extensiondual quantaleeffectible Girard quantaleMV-quantalerc-extension

Mathematics Subject Classification ID

MV-algebras (06D35) Quantales (06F07)

Cites Work

• An early approach toward graded identity and graded membership in set theory
• Measure-free conditioning and extensions of additive measures on finite MV-algebras
• A complete characterization of all weakly additive measures and of all valuations on the canonical extension of any finite MV-chain
• Effectible residuated lattices and \(n\)-th roots
• Uncertainty measures -- problems concerning additivity
• Conditioning on MV-algebras and additive measures. I
• The axioms and algebra of intuitive probability
• Stone algebras, conditional events, and three valued logic
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