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Quantum logics and soft fuzzy probability spaces. (English) Zbl 0662.03055
The aim of the present paper is to compare two notions which appear in fuzzy set theory (soft fuzzy probability spaces) and quantum logic theory. Moreover, the model of quantum logic, due to M. Maczyński: “The orthogonality postulate in axiomatic quantum mechanics” [Int. J. Theor. Phys. 8, 353-360 (1973)], is presented in the language of fuzzy set theory.
Reviewer: A.Dvurečenskij

MSC:
03G12 Quantum logic
81P10 Logical foundations of quantum mechanics; quantum logic (quantum-theoretic aspects)
60B99 Probability theory on algebraic and topological structures
28E10 Fuzzy measure theory
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