Atoms and Dobrakov submeasures in effect algebras

DOI10.1016/j.fss.2007.11.005zbMath1176.03046OpenAlexW2039597645MaRDI QIDQ835113

Akhilesh Kumar Singh, Mona Khare

Publication date: 28 August 2009

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

Full work available at URL: https://doi.org/10.1016/j.fss.2007.11.005

zbMATH Keywords

atomeffect algebraDarboux propertyatomless functionnon-atomic functionSaks property

Mathematics Subject Classification ID

Logical foundations of quantum mechanics; quantum logic (quantum-theoretic aspects) (81P10) Quantum logic (03G12) Set functions and measures on spaces with additional structure (28C99)

Related Items

On vector-valued Dobrakov submeasures ⋮ Atomicity via regularity for non-additive set multifunctions ⋮ Extended minimal atomicity through nondifferentiability: a mathematical-physical approach ⋮ Pseudo-atoms, atoms and a Jordan type decomposition in effect algebras ⋮ L-approach merotopies and their categorical perspective ⋮ Unnamed Item ⋮ Variations on effect algebras.

Cites Work

• Effect algebras and unsharp quantum logics.
• Ambiguity made precise: A comparative foundation
• Weakly tight functions, their Jordan type decomposition and total variation in effect algebras
• Atoms of fuzzy measures and fuzzy integrals
• Fuzzy \(\sigma\)-algebras and conditional entropy
• Difference posets, effects, and quantum measurements
• Sums and products of interval algebras
• Finite modular effect algebras
• On a Marinacci uniqueness theorem for measures.
• On the Dobrakov submeasure on fuzzy sets
• Topological properties of the range of a group-valued finitely additive measure
• The range of null-additive fuzzy and non-fuzzy measures
• Weakly tight functions and their decomposition
• Subjective Probabilities on Subjectively Unambiguous Events
• \(m\)-equivalence, entropy and \(F\)-dynamical systems
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