Choquet type integrals for single-valued functions with respect to set-functions and set-multifunctions
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989592%3A15310%2F23%3A73621116" target="_blank" >RIV/61989592:15310/23:73621116 - isvavai.cz</a>
Result on the web
<a href="https://www.sciencedirect.com/science/article/pii/S002002552300227X" target="_blank" >https://www.sciencedirect.com/science/article/pii/S002002552300227X</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.ins.2023.02.038" target="_blank" >10.1016/j.ins.2023.02.038</a>
Alternative languages
Result language
angličtina
Original language name
Choquet type integrals for single-valued functions with respect to set-functions and set-multifunctions
Original language description
Due to their numerous applications such as in decision making, information fusion, game theory, and data mining, Choquet integrals have recently attracted much attention. In this study, two generalization types of Choquet integrals are presented. First, a generalized Choquet type integral of a single-valued function is introduced with respect to a set-function and measure. Several of its properties, such as convergence theorems and Jensen's inequality, are proved. Second, in the spirit of the single-valued Choquet integral, a generalized Choquet type set-valued integral for a single-valued function with respect to a set-multifunction and measure is introduced using Aumann integrals as well as various properties, including convergence theorems.
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
2023
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
INFORMATION SCIENCES
ISSN
0020-0255
e-ISSN
1872-6291
Volume of the periodical
630
Issue of the periodical within the volume
JUN
Country of publishing house
US - UNITED STATES
Number of pages
19
Pages from-to
252-270
UT code for WoS article
000944407600001
EID of the result in the Scopus database
2-s2.0-85148323214