Galois connections and tense operators on q-effect algebras
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989592%3A15310%2F16%3A33161576" target="_blank" >RIV/61989592:15310/16:33161576 - isvavai.cz</a>
Alternative codes found
RIV/00216224:14310/16:00088576
Result on the web
<a href="http://www.sciencedirect.com/science/article/pii/S0165011415002390" target="_blank" >http://www.sciencedirect.com/science/article/pii/S0165011415002390</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.fss.2015.05.010" target="_blank" >10.1016/j.fss.2015.05.010</a>
Alternative languages
Result language
angličtina
Original language name
Galois connections and tense operators on q-effect algebras
Original language description
For effect algebras, the so-called tense operators were already introduced by Chajda and Paseka. They presented also a canonical construction of them using the notion of a time frame. Tense operators express the quantifiers "it is always going to be the case that" and "it has always been the case that" and hence enable us to express the dimension of time both in the logic of quantum mechanics and in the many-valued logic. A crucial problem concerning tense operators is their representation. Having an effect algebra with tense operators, we can ask if there exists a time frame such that each of these operators can be obtained by the canonical construction. To approximate physical real systems as best as possible, we introduce the notion of a q-effect algebra and we solve this problem for q-tense operators on q-representable q-Jauch-Piron q-effect algebras. (c) 2015 Elsevier B.V. All rights reserved.
Czech name
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Czech description
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Classification
Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
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Result continuities
Project
Result was created during the realization of more than one project. More information in the Projects tab.
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2016
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Fuzzy Sets and Systems
ISSN
0165-0114
e-ISSN
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Volume of the periodical
298
Issue of the periodical within the volume
SEP
Country of publishing house
NL - THE KINGDOM OF THE NETHERLANDS
Number of pages
13
Pages from-to
56-68
UT code for WoS article
000376779800005
EID of the result in the Scopus database
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