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Fuzzy logics and observables. (English) Zbl 0791.03038
Fuzzy logic is a system of fuzzy subsets which is closed with respect to Zadeh’s fuzzy complementation and countable Giles bold union. For these logics, an integral representation of a state, and a representation of mean value of observables are presented.

03G12 Quantum logic
81P10 Logical foundations of quantum mechanics; quantum logic (quantum-theoretic aspects)
03B52 Fuzzy logic; logic of vagueness
Full Text: DOI
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