Ordinal sum constructions for aggregation functions on the real unit interval

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61988987%3A17610%2F22%3AA2302FV0" target="_blank" >RIV/61988987:17610/22:A2302FV0 - isvavai.cz</a>

Výsledek na webu

<a href="https://ijfs.usb.ac.ir/article_6553_6beeac25621da8d6e197c370d729fd2c.pdf" target="_blank" >https://ijfs.usb.ac.ir/article_6553_6beeac25621da8d6e197c370d729fd2c.pdf</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.22111/IJFS.2022.6553" target="_blank" >10.22111/IJFS.2022.6553</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Ordinal sum constructions for aggregation functions on the real unit interval

Popis výsledku v původním jazyce

We discuss ordinal sums as one of powerful tools in the aggregation theory serving, depending on the context, both as a construction method and as a representation, respectively. Up to recalling of several classical results dealing with ordinal sums, in particular dealing, e.g., with continuous t-norms, copulas, or recent results, e.g., concerning uninorms with continuous underlying functions, we present also several new results, such as the uniqueness of the link between t-norms or t-conorms, and related Archimedean components, problems dealing with the cardinality of the considered index sets in ordinal sums, or infinite ordinal sums of aggregation functions covering by one type of ordinal sums both t-norms and t-conorms ordinal sums.

Název v anglickém jazyce

Ordinal sum constructions for aggregation functions on the real unit interval

Popis výsledku anglicky

We discuss ordinal sums as one of powerful tools in the aggregation theory serving, depending on the context, both as a construction method and as a representation, respectively. Up to recalling of several classical results dealing with ordinal sums, in particular dealing, e.g., with continuous t-norms, copulas, or recent results, e.g., concerning uninorms with continuous underlying functions, we present also several new results, such as the uniqueness of the link between t-norms or t-conorms, and related Archimedean components, problems dealing with the cardinality of the considered index sets in ordinal sums, or infinite ordinal sums of aggregation functions covering by one type of ordinal sums both t-norms and t-conorms ordinal sums.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

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OECD FORD obor

10101 - Pure mathematics

Projekt

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Návaznosti

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2022

Kód důvěrnosti údajů

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

Název periodika

Iranian Journal of Fuzzy Systems

ISSN

1735-0654

e-ISSN

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Svazek periodika

—

Číslo periodika v rámci svazku

1

Stát vydavatele periodika

IR - Íránská islámská republika

Počet stran výsledku

14

Strana od-do

83-96

Kód UT WoS článku

000733880600007

EID výsledku v databázi Scopus

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