Boolean representations of fuzzy quantum spaces

DOI10.1016/S0165-0114(96)00016-4zbMath0915.03049MaRDI QIDQ1278886

Mirko Navara

Publication date: 27 June 1999

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

zbMATH Keywords

observablestateBoolean \(\sigma\)-algebras\(\sigma\)-observableBoolean representationfuzzy quantum space

Mathematics Subject Classification ID

Logical foundations of quantum mechanics; quantum logic (quantum-theoretic aspects) (81P10) Fuzzy measure theory (28E10) Quantum logic (03G12)

Related Items (5)

Representation of fuzzy quantum posets of types I, II ⋮ The fuzzy analogies of some ergodic theorems ⋮ Do fuzzy quantum structures exist? ⋮ An algebraic generalization of the notion of tribe ⋮ Birkhoff's individual ergodic theorem and maximal ergodic theorem for fuzzy dynamical systems

Cites Work

• Probability of fuzzy events defined as denumerable additivity measure
• Quantum logics with the Radon-Nikodym property
• On joint distribution of observables for \(F\)-quantum spaces
• On the existence of probability measures on fuzzy measurable spaces
• The Radon-Nikodým theorem for fuzzy probability spaces
• Sum of observables in fuzzy quantum spaces
• \(P\)-measures on soft fuzzy \(\sigma\)-algebras
• On a representation of observables in fuzzy measurable spaces
• Generalized monotone convergence and Radon–Nikodym theorems
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