Idempotent pseudo-n-uninorms

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61988987%3A17610%2F25%3AA2603ADD" target="_blank" >RIV/61988987:17610/25:A2603ADD - isvavai.cz</a>

Výsledek na webu

<a href="https://www.sciencedirect.com/science/article/pii/S0165011425001265?via%3Dihub" target="_blank" >https://www.sciencedirect.com/science/article/pii/S0165011425001265?via%3Dihub</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1016/j.fss.2025.109387" target="_blank" >10.1016/j.fss.2025.109387</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Idempotent pseudo-n-uninorms

Popis výsledku v původním jazyce

The structure of idempotent pseudo-n-uninorms, non-commutative generalizations of idempotent n-uninorms, is investigated. First, idempotent pseudo-2-uninorms are characterized by their decomposition into an idempotentpseudo-uninorm and a special idempotent pseudo-2-uninorm, for which thediviFBsion point z is a (left/right) annihilator. These results are then used in characterization of all idempotent pseudo-n-uninorms by decomposition based on their set of left (right) annihilators and Clifford’s ordinal sum. The achieved results reveal that the structure of pseudo-n-uninorms is significantly different from that of n-uninorms and general pseudo-n-uninorms cannot be decomposed via z-ordinal sum. These results provide new insights into the nature of non-commutative aggregation functions.

Název v anglickém jazyce

Idempotent pseudo-n-uninorms

Popis výsledku anglicky

The structure of idempotent pseudo-n-uninorms, non-commutative generalizations of idempotent n-uninorms, is investigated. First, idempotent pseudo-2-uninorms are characterized by their decomposition into an idempotentpseudo-uninorm and a special idempotent pseudo-2-uninorm, for which thediviFBsion point z is a (left/right) annihilator. These results are then used in characterization of all idempotent pseudo-n-uninorms by decomposition based on their set of left (right) annihilators and Clifford’s ordinal sum. The achieved results reveal that the structure of pseudo-n-uninorms is significantly different from that of n-uninorms and general pseudo-n-uninorms cannot be decomposed via z-ordinal sum. These results provide new insights into the nature of non-commutative aggregation functions.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10102 - Applied mathematics

Projekt

—

Návaznosti

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2025

Kód důvěrnosti údajů

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

Název periodika

Fuzzy Sets and Systems

ISSN

0165-0114

e-ISSN

1872-6801

Svazek periodika

—

Číslo periodika v rámci svazku

August 2025

Stát vydavatele periodika

NL - Nizozemsko

Počet stran výsledku

18

Strana od-do

—

Kód UT WoS článku

001459404700001

EID výsledku v databázi Scopus

2-s2.0-105000966550