Sum of n-dimensional observables on MV-effect algebras
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989592%3A15310%2F21%3A73609918" target="_blank" >RIV/61989592:15310/21:73609918 - isvavai.cz</a>
Result on the web
<a href="https://link.springer.com/article/10.1007%2Fs00500-021-05911-1" target="_blank" >https://link.springer.com/article/10.1007%2Fs00500-021-05911-1</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s00500-021-05911-1" target="_blank" >10.1007/s00500-021-05911-1</a>
Alternative languages
Result language
angličtina
Original language name
Sum of n-dimensional observables on MV-effect algebras
Original language description
We introduce the sum of two n-dimensional observables on a a-complete MV-effect algebra and on a lexicographic MV-effect algebra, respectively. The sum is based upon a one-to-one correspondence between n-dimensional observables and n-dimensional spectral resolutions. Therefore, the sum of two observables is defined by their n-dimensional spectral resolutions. In addition, we study also the Olson order between n-dimensional observables using the one-to-one correspondence which enables us to show some semigroup properties of the set of n-dimensional observables with respect to the sum and the Olson order.
Czech name
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10201 - Computer sciences, information science, bioinformathics (hardware development to be 2.2, social aspect to be 5.8)
Result continuities
Project
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Continuities
S - Specificky vyzkum na vysokych skolach
Others
Publication year
2021
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
SOFT COMPUTING
ISSN
1432-7643
e-ISSN
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Volume of the periodical
25
Issue of the periodical within the volume
13
Country of publishing house
US - UNITED STATES
Number of pages
12
Pages from-to
8073-8084
UT code for WoS article
000657624100002
EID of the result in the Scopus database
2-s2.0-85107391313