On the coincidence of the pan-integral and the Choquet integral
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985556%3A_____%2F23%3A00576153" target="_blank" >RIV/67985556:_____/23:00576153 - isvavai.cz</a>
Result on the web
<a href="https://www.sciencedirect.com/science/article/pii/S016501142300218X?via%3Dihub" target="_blank" >https://www.sciencedirect.com/science/article/pii/S016501142300218X?via%3Dihub</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.fss.2023.108577" target="_blank" >10.1016/j.fss.2023.108577</a>
Alternative languages
Result language
angličtina
Original language name
On the coincidence of the pan-integral and the Choquet integral
Original language description
We introduce the concept of weak (M)-property of a monotone measure and prove that this condition is not only sufficient, but also necessary for the coincidence of the pan-integral and the Choquet integral on monotone measure spaces. The previous results we obtained are substantially improved. An open problem concerning the weak (M)-property is raised.
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
—
OECD FORD branch
10101 - Pure mathematics
Result continuities
Project
—
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2023
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
1872-6801
Volume of the periodical
467
Issue of the periodical within the volume
1
Country of publishing house
NL - THE KINGDOM OF THE NETHERLANDS
Number of pages
9
Pages from-to
08577
UT code for WoS article
001016582600001
EID of the result in the Scopus database
2-s2.0-85161292402