Uninorms internal on one or more non-trivial cuts

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61988987%3A17610%2F23%3AA2402GML" target="_blank" >RIV/61988987:17610/23:A2402GML - isvavai.cz</a>

Výsledek na webu

<a href="https://www.sciencedirect.com/science/article/abs/pii/S0020025523013786" target="_blank" >https://www.sciencedirect.com/science/article/abs/pii/S0020025523013786</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1016/j.ins.2023.119793" target="_blank" >10.1016/j.ins.2023.119793</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Uninorms internal on one or more non-trivial cuts

Popis výsledku v původním jazyce

Each uninorm is trivially internal on the cut in the neutral element and uninorms internal on the boundary were already completely characterized. We discuss uninorms which are internal on some non-trivial cut and show that each such uninorm can be expressed as a non-trivial ordinal sum. In individual cases we discuss the structure of such conjunctive (disjunctive) uninorm and show that the corresponding ordinal sum contains uninorms, t-conorms, t-superconorms and generalized sub-uninorms (t-norms, t-subnorms and generalized super-uninorms). Moreover, we discuss the ordinal sum decomposition of uninorms with several internal cuts and show their decomposition into semigroups that have only constant internal cuts, and possibly an internal cut in the neutral element.

Název v anglickém jazyce

Uninorms internal on one or more non-trivial cuts

Popis výsledku anglicky

Each uninorm is trivially internal on the cut in the neutral element and uninorms internal on the boundary were already completely characterized. We discuss uninorms which are internal on some non-trivial cut and show that each such uninorm can be expressed as a non-trivial ordinal sum. In individual cases we discuss the structure of such conjunctive (disjunctive) uninorm and show that the corresponding ordinal sum contains uninorms, t-conorms, t-superconorms and generalized sub-uninorms (t-norms, t-subnorms and generalized super-uninorms). Moreover, we discuss the ordinal sum decomposition of uninorms with several internal cuts and show their decomposition into semigroups that have only constant internal cuts, and possibly an internal cut in the neutral element.

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

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

—

Svazek periodika

—

Číslo periodika v rámci svazku

January 2024

Stát vydavatele periodika

NL - Nizozemsko

Počet stran výsledku

26

Strana od-do

1-26

Kód UT WoS článku

001108668200001

EID výsledku v databázi Scopus

2-s2.0-85174613024