A new approach to representation of observables on fuzzy quantum posets
Applications of Mathematics (1992)
- Volume: 37, Issue: 5, page 357-368
- ISSN: 0862-7940
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topLong, Le Ba. "A new approach to representation of observables on fuzzy quantum posets." Applications of Mathematics 37.5 (1992): 357-368. <http://eudml.org/doc/15721>.
@article{Long1992,
abstract = {We give a representation of an observable on a fuzzy quantum poset of type II by a pointwise defined real-valued function. This method is inspired by that of Kolesárová [6] and Mesiar [7], and our results extend representations given by the author and Dvurečenskij [4]. Moreover, we show that in this model, the converse representation fails, in general.},
author = {Long, Le Ba},
journal = {Applications of Mathematics},
keywords = {fuzzy quantum poset; fuzzy quantum space; $q$-$\sigma $-algebra; observable; fuzzy quantum poset; representation; quantum logic; orthomodular poset},
language = {eng},
number = {5},
pages = {357-368},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {A new approach to representation of observables on fuzzy quantum posets},
url = {http://eudml.org/doc/15721},
volume = {37},
year = {1992},
}
TY - JOUR
AU - Long, Le Ba
TI - A new approach to representation of observables on fuzzy quantum posets
JO - Applications of Mathematics
PY - 1992
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 37
IS - 5
SP - 357
EP - 368
AB - We give a representation of an observable on a fuzzy quantum poset of type II by a pointwise defined real-valued function. This method is inspired by that of Kolesárová [6] and Mesiar [7], and our results extend representations given by the author and Dvurečenskij [4]. Moreover, we show that in this model, the converse representation fails, in general.
LA - eng
KW - fuzzy quantum poset; fuzzy quantum space; $q$-$\sigma $-algebra; observable; fuzzy quantum poset; representation; quantum logic; orthomodular poset
UR - http://eudml.org/doc/15721
ER -
References
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- A. Dvurečenskij, On a representation of observables in fuzzy measurable spaces, to appear.
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- A. Kolesárová, R. Mesiar, A note on the representation of fuzzy observables, BUSEFAL 43 (1990), 42-47. (1990)
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- R. Mesiar, Fuzzy Bayes formula and the ill defined elements, Proc. 1st Winter School on Meas. Th., Lipt. Ján., Jan. 10-15, 1988, pp. 82-87. (1988) Zbl0685.60006MR1000194
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- B. Riečan, A new approach to some notions of statistical quantum mechanics, BUSEFAL 35 (1988), 4-6. (1988)
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