Choquet type integrals for single-valued functions with respect to set-functions and set-multifunctions

Kód výsledku v 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>

Výsledek na webu

<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>

Jazyk výsledku

angličtina

Název v původním jazyce

Choquet type integrals for single-valued functions with respect to set-functions and set-multifunctions

Popis výsledku v původním jazyce

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&apos;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.

Název v anglickém jazyce

Choquet type integrals for single-valued functions with respect to set-functions and set-multifunctions

Popis výsledku anglicky

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&apos;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.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10201 - Computer sciences, information science, bioinformathics (hardware development to be 2.2, social aspect to be 5.8)

Projekt

—

Návaznosti

S - Specificky vyzkum na vysokych skolach

Rok uplatnění

2023

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

INFORMATION SCIENCES

ISSN

0020-0255

e-ISSN

1872-6291

Svazek periodika

630

Číslo periodika v rámci svazku

JUN

Stát vydavatele periodika

US - Spojené státy americké

Počet stran výsledku

19

Strana od-do

252-270

Kód UT WoS článku

000944407600001

EID výsledku v databázi Scopus

2-s2.0-85148323214