Fuzzy quantum logics and infinite-valued Łukasiewicz logic

DOI10.1007/BF00670685zbMath0819.03048MaRDI QIDQ1340316

Jarosław Pykacz

Publication date: 27 August 1995

Published in: International Journal of Theoretical Physics (Search for Journal in Brave)

zbMATH Keywords

fuzzy quantum logicinfinite-valued Łukasiewicz logics

Mathematics Subject Classification ID

Logical foundations of quantum mechanics; quantum logic (quantum-theoretic aspects) (81P10) Many-valued logic (03B50) Quantum logic (03G12)

Related Items (20)

Fuzzy quantum logic. I ⋮ Contextuality and truth-value assignment ⋮ \(h\)-fuzzy quantum logics ⋮ Do fuzzy quantum structures exist? ⋮ Quantum logic as partial infinite-valued Łukasiewicz logic ⋮ Semi-orthoposets ⋮ Unification of two approaches to quantum logic: Every Birkhoff-von Neumann quantum logic is a partial infinite-valued Łukasiewicz logic ⋮ Transitivity and equicontinuity in quantum measure spaces ⋮ Quantum supervaluationism ⋮ Can many-valued logic help to comprehend quantum phenomena? ⋮ Conditional entropy and the Rokhlin metric on an orthomodular lattice with bayessian state ⋮ Bell-type inequalities for bivariate maps on orthomodular lattices ⋮ The many-valued logic of quantum mechanics ⋮ The problem of conjunction and disjunction in quantum logics ⋮ A theory of vague lattices based on many-valued equivalence relations. I: General representation results ⋮ ``Solution of the EPR paradox: negative, or rather fuzzy probabilities? ⋮ Truth values of quantum phenomena ⋮ Towards many-valued/fuzzy interpretation of quantum mechanics ⋮ Fuzzy set representations of some quantum structures ⋮ BELL-TYPE INEQUALITIES IN FUZZY PROBABILITY CALCULUS

Cites Work

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• Fuzzy set ideas in quantum logics
• A review of fuzzy set aggregation connectives
• Probability of fuzzy events defined as denumerable additivity measure
• Orthomodular structures as quantum logics. Transl. from the Slovak
• \(h\)-fuzzy quantum logics
• Orthomodular lattices admitting no states
• Łukasiewicz logic and fuzzy set theory
• Fuzzy sets
• New Algebras of Logic

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