Algebraic properties of complex fuzzy events in classical and in quantum information systems

DOI10.1016/0022-247X(87)90358-1zbMath0621.94030OpenAlexW2075446192MaRDI QIDQ1090664

Giuseppe Nisticò, Gianpiero Cattaneo

Publication date: 1987

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-247x(87)90358-1

zbMATH Keywords

noncommutative probabilitygeneralized probability theoryalgebraic properties of fuzzy eventsBaer*-semigroupquantum fuzzy events

Mathematics Subject Classification ID

Free probability and free operator algebras (46L54) Noncommutative probability and statistics (46L53) Noncommutative measure and integration (46L51) Logical foundations of quantum mechanics; quantum logic (quantum-theoretic aspects) (81P10) Fuzzy sets and logic (in connection with information, communication, or circuits theory) (94D05)

Related Items (2)

Bibliography on quantum logics and related structures ⋮ Short story of the term “algebraic analysis”

Cites Work

• Unnamed Item
• Canonical embedding of an abstract quantum logic into the partial \(Baer^*\)-ring of complex fuzzy events
• Fuzzy events and fuzzy logics in classical information systems
• Probability measures of fuzzy events
• Relative inverses in Baer \({}^*\)-semigroups
• Orthogonality and orthocomplementations in the axiomatic approach to quantum mechanics: Remarks about some critiques
• Fuzzy sets
• Quantum Probability Spaces
• Baer ∗ -Semigroups

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