Conditional states and independence in D-posets

DOI10.1007/S00500-009-0487-0zbMath1200.03046OpenAlexW129881743MaRDI QIDQ989686

Eva Drobná, František Kôpka, Ferdinand Chovanec, Ol'ga Nánásiová

Publication date: 23 August 2010

Published in: Soft Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00500-009-0487-0

zbMATH Keywords

conditional probabilityfilterdifference posetconditional stateconditional systemindependence with respect to a state

Mathematics Subject Classification ID

Logical foundations of quantum mechanics; quantum logic (quantum-theoretic aspects) (81P10) Quantum logic (03G12) Probability theory on algebraic and topological structures (60B99)

Related Items (4)

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Cites Work

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• Conditional probabilities on orthomodular lattices
• Minimally generated Boolean algebras
• Ideals and filters in D-posets
• Representation of the Kolmogorov model having all distinguishing features of quantum probabilistic model
• Map for simultaneous measurements for a quantum logic
• Generalization of blocks for \(D\)-lattices and lattice-ordered effect algebras
• Principle conditioning
• Separating classical and quantum correlations
• Compatibility in D-posets
• On a new axiomatic theory of probability
• An Extension of Classical Measure Theory

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