Pseudo-integral and generalized Choquet integral
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989592%3A15310%2F22%3A73616927" target="_blank" >RIV/61989592:15310/22:73616927 - isvavai.cz</a>
Result on the web
<a href="https://www.sciencedirect.com/science/article/pii/S0165011420304711" target="_blank" >https://www.sciencedirect.com/science/article/pii/S0165011420304711</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.fss.2020.12.005" target="_blank" >10.1016/j.fss.2020.12.005</a>
Alternative languages
Result language
angličtina
Original language name
Pseudo-integral and generalized Choquet integral
Original language description
Due to many applications, the Choquet integral as a powerful tool for modeling non-deterministic problems needs to be further extended. Therefore the paper is devoted to a generalization of the Choquet integral. As a basis, the pseudo-integral for bounded integrand is extended to the case for nonnegative integrands at first, and then the generalized Choquet integral is defined. As special cases, pseudo-Choquet Stieltjes integrals, pseudo-fuzzy Stieltjes integrals, g-Choquet integrals, pseudo-(N)fuzzy integrals and pseudo-(S)fuzzy integrals are obtained, and various kinds of properties and convergence theorems are shown, meanwhile Markov, Jensen, Minkowski and Holder inequalities are proved. In the end, the generalized discrete Choquet integral is discussed. The obtained results for the generalized Choquet integral cover some previous results on different types of nonadditive integrals.
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
<a href="/en/project/GA18-06915S" target="_blank" >GA18-06915S: New approaches to aggregation operators in analysis and processing of data</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2022
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
446
Issue of the periodical within the volume
OCT
Country of publishing house
NL - THE KINGDOM OF THE NETHERLANDS
Number of pages
29
Pages from-to
193-221
UT code for WoS article
000862831200011
EID of the result in the Scopus database
2-s2.0-85099499856