Fuzzy quantum spaces and compatibility

DOI10.1007/BF00674352zbMath0657.60004MaRDI QIDQ1110892

Ferdinand Chovanec, Anatolij Dvurečenskij

Publication date: 1988

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

zbMATH Keywords

quantum logicscompatibility problemfuzzy quantum spacesmathematics for fuzzy systems

Mathematics Subject Classification ID

Theory of fuzzy sets, etc. (03E72) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Foundations of probability theory (60A99)

Related Items (16)

Fuzzy quantum logic. I ⋮ Compatibility and representation of observables on type I, II, III fuzzy quantum posets ⋮ On mean value in $F$-quantum spaces ⋮ FUZZY QUANTUM MODELS ⋮ Generalized versions of MV-algebraic central limit theorems ⋮ Compatibility in D-posets ⋮ Quantum logic as partial infinite-valued Łukasiewicz logic ⋮ Rényi entropy of fuzzy dynamical systems ⋮ Unnamed Item ⋮ Bibliography on quantum logics and related structures ⋮ Sum of observables in fuzzy quantum spaces ⋮ The conjugation of fuzzy probability spaces to the unit interval ⋮ The entropy of fuzzy dynamical systems and generators ⋮ Fuzzy set ideas in quantum logics ⋮ On limit theorems in fuzzy quantum spaces ⋮ F-quantum spaces and their dynamics

Cites Work

• Fuzzy \(\sigma\) algebras of physics
• Probability of fuzzy events defined as denumerable additivity measure
• Compatibility in orthomodular posets
• Probability in physics and a theorem on simultaneous observability
• A Note on Quantum Probability Spaces
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