k-additive aggregation functions and their characterization

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61988987%3A17610%2F18%3AA1901RRQ" target="_blank" >RIV/61988987:17610/18:A1901RRQ - isvavai.cz</a>

Výsledek na webu

<a href="http://dx.doi.org/10.1016/j.ejor.2017.08.036" target="_blank" >http://dx.doi.org/10.1016/j.ejor.2017.08.036</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1016/j.ejor.2017.08.036" target="_blank" >10.1016/j.ejor.2017.08.036</a>

Jazyk výsledku

angličtina

Název v původním jazyce

k-additive aggregation functions and their characterization

Popis výsledku v původním jazyce

Inspired by the Grabisch idea of k-additive measures, we introduce and study k-additive aggregation functions. The Owen multilinear extension of a k-additive capacity is shown to be a particular k-additive aggregation function. We clarify the relation between k-additive aggregation functions and polynomials with degree not exceeding k. We also describe all basic 2-additive n-dimensional aggregation functions whose convex closure forms the class of all 2-additive n-dimensional aggregation functions. Moreover, we define k-arithmetic means and completely characterize 2-arithmetic means and idempotent 2-arithmetic means as well. Finally, we introduce notions of k-ordered weighted averaging operators and k-Choquet integrals.

Název v anglickém jazyce

k-additive aggregation functions and their characterization

Popis výsledku anglicky

Inspired by the Grabisch idea of k-additive measures, we introduce and study k-additive aggregation functions. The Owen multilinear extension of a k-additive capacity is shown to be a particular k-additive aggregation function. We clarify the relation between k-additive aggregation functions and polynomials with degree not exceeding k. We also describe all basic 2-additive n-dimensional aggregation functions whose convex closure forms the class of all 2-additive n-dimensional aggregation functions. Moreover, we define k-arithmetic means and completely characterize 2-arithmetic means and idempotent 2-arithmetic means as well. Finally, we introduce notions of k-ordered weighted averaging operators and k-Choquet integrals.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10100 - Mathematics

Projekt

<a href="/cs/project/LQ1602" target="_blank" >LQ1602: IT4Innovations excellence in science</a><br>

Návaznosti

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Rok uplatnění

2018

Kód důvěrnosti údajů

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

Název periodika

EUR J OPER RES

ISSN

0377-2217

e-ISSN

—

Svazek periodika

265

Číslo periodika v rámci svazku

3

Stát vydavatele periodika

NL - Nizozemsko

Počet stran výsledku

8

Strana od-do

985-992

Kód UT WoS článku

000417657200015

EID výsledku v databázi Scopus

2-s2.0-85029213855