Conditioning on MV-algebras and additive measures. I

DOI10.1016/S0165-0114(97)00173-5zbMath0935.28013OpenAlexW2074124464MaRDI QIDQ1296895

Siegfried Weber

Publication date: 14 November 1999

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

Full work available at URL: https://doi.org/10.1016/s0165-0114(97)00173-5

zbMATH Keywords

fuzzy setsBoolean algebrasMV-algebrasadditivityuncertainty measuresconnectivesconditional eventslattice ordered semigroups

Mathematics Subject Classification ID

Fuzzy measure theory (28E10)

Related Items

Measure-free conditioning and extensions of additive measures on finite MV-algebras ⋮ Extensions of states on MV-quantales ⋮ A complete characterization of all weakly additive measures and of all valuations on the canonical extension of any finite MV-chain ⋮ Algebras of intervals and a logic of conditional assertions ⋮ Conditioning for Boolean Subsets, Indicator Functions and Fuzzy Subsets ⋮ Uncertainty measures -- problems concerning additivity

Cites Work

• Topoi and categories of fuzzy sets
• Conditional measures and their applications to fuzzy sets
• Foundations for an algebraic theory of conditioning
• An algebra of conditional events
• The axioms and algebra of intuitive probability
• Algebraic Analysis of Many Valued Logics
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