Element-Oriented Construction Methods for Nullnorms on Bounded Lattices

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61988987%3A17610%2F25%3AA2603C4H" target="_blank" >RIV/61988987:17610/25:A2603C4H - isvavai.cz</a>

Výsledek na webu

<a href="https://www.mdpi.com/2075-1680/14/12/856" target="_blank" >https://www.mdpi.com/2075-1680/14/12/856</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.3390/axioms14120856" target="_blank" >10.3390/axioms14120856</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Element-Oriented Construction Methods for Nullnorms on Bounded Lattices

Popis výsledku v původním jazyce

Nullnorms are aggregation functions with an annihilator and are generalizations of t-norms and t-conorms. After the introduction of the concept of nullnorms on bounded lattices by Karaçal et al., the studies on their construction methods in such structures have been initiated. Following the paper of Karaçal and Şanlı, in which proposed element-based construction methods for t-norms and t-conorms on bounded lattices, a natural research question emerged: Are there any element-based construction methods for nullnorms on a bounded lattice L? In this paper, we address this question and propose construction methods for nullnorms with an annihilator element k∈L∖{0,1}, depending on an element η∈L∖{0,k,1}, by examining the relationship between η and k. The proposed methods are compared with some existing approaches in the literature and are shown to be distinct. These theoretical findings are further supported with illustrative examples.

Název v anglickém jazyce

Element-Oriented Construction Methods for Nullnorms on Bounded Lattices

Popis výsledku anglicky

Nullnorms are aggregation functions with an annihilator and are generalizations of t-norms and t-conorms. After the introduction of the concept of nullnorms on bounded lattices by Karaçal et al., the studies on their construction methods in such structures have been initiated. Following the paper of Karaçal and Şanlı, in which proposed element-based construction methods for t-norms and t-conorms on bounded lattices, a natural research question emerged: Are there any element-based construction methods for nullnorms on a bounded lattice L? In this paper, we address this question and propose construction methods for nullnorms with an annihilator element k∈L∖{0,1}, depending on an element η∈L∖{0,k,1}, by examining the relationship between η and k. The proposed methods are compared with some existing approaches in the literature and are shown to be distinct. These theoretical findings are further supported with illustrative examples.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10101 - Pure 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

Axioms

ISSN

2075-1680

e-ISSN

2075-1680

Svazek periodika

—

Číslo periodika v rámci svazku

12

Stát vydavatele periodika

CH - Švýcarská konfederace

Počet stran výsledku

17

Strana od-do

—

Kód UT WoS článku

001645922700001

EID výsledku v databázi Scopus

—