Abstract
Although many interesting and elegant results have been obtained in fuzzy quantum spaces and the idea of using fuzzy set theory in quantum mechanics has been accepted, there is a right criticism about fuzzy quantum spaces. It has two reasons. The first is mathematical: the theory can be reduced to the case of Boolean algebra. The second one is physical: principally from the physical point of view it seems to be more hopeful to replace the Zadeh connectives S M , T M , where
,
, by the Lukasiewicz connectives S L , T L , where
,
.
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© 1997 Beloslav Riecan and Tibor Neubrunn
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Riečan, B., Neubrunn, T. (1997). Fuzzy quantum logics. In: Integral, Measure, and Ordering. Mathematics and Its Applications, vol 411. Springer, Dordrecht. https://doi.org/10.1007/978-94-015-8919-2_8
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DOI: https://doi.org/10.1007/978-94-015-8919-2_8
Publisher Name: Springer, Dordrecht
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