Uncertainty and dependence in classical and quantum logic -- the role of triangular norms (Q2776094)
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scientific article; zbMATH DE number 1714327
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Uncertainty and dependence in classical and quantum logic -- the role of triangular norms |
scientific article; zbMATH DE number 1714327 |
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5 July 2002
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probabilistic uncertainty
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quantum uncertainty
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fuzzy uncertainty
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t-norm
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quantum logic
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0.8690642
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0.8618091
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0.8611826
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0.85701096
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Uncertainty and dependence in classical and quantum logic -- the role of triangular norms (English)
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The paper under review deals with three kinds of uncertainties: probabilistic, quantum, and fuzzy. Uncertainty in classical logic is given by a set of events forming a Boolean algebra. The event structure of measurement in quantum mechanics is not any Boolean algebra, in general, and its propositional system is given as an orthomodular lattice. Uncertainty in fuzzy logic is a new phenomenon, and it is described, e.g., by MV-algebras or T-tribes, or fuzzy quantum spaces. In such models, t-norms seem to play an important role, and this kind of uncertainty is a challenge for further research.NEWLINENEWLINEFor the entire collection see [Zbl 0971.00011].
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