Direct product of nullnorms on bounded lattices

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61988987%3A17610%2F19%3AA20020WC" target="_blank" >RIV/61988987:17610/19:A20020WC - isvavai.cz</a>

Výsledek na webu

<a href="https://content.iospress.com/articles/journal-of-intelligent-and-fuzzy-systems/ifs181602" target="_blank" >https://content.iospress.com/articles/journal-of-intelligent-and-fuzzy-systems/ifs181602</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.3233/JIFS-181602" target="_blank" >10.3233/JIFS-181602</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Direct product of nullnorms on bounded lattices

Popis výsledku v původním jazyce

Nullnorms are aggregation functions on the unit interval [0, 1] related to ordinal sums of t-conorms defined on [0, a] and t-norms defined on [a, 1], where a is the annihilator of the considered aggregation function. In this paper some basic algebraic properties like idempotent and nilpotent elements of nullnorms on the unit interval are introduced and discussed. Then, the direct product of nullnorms on bounded lattices is defined and properties of introduced nullnorms are deeply investigated. Thus by defining such algebraic properties and direct product of nullnorms, triangular norms and triangular conorms are extended to a more general form. Finally, we study some properties concerning orders induced by nullnorms acting on lattices.

Název v anglickém jazyce

Direct product of nullnorms on bounded lattices

Popis výsledku anglicky

Nullnorms are aggregation functions on the unit interval [0, 1] related to ordinal sums of t-conorms defined on [0, a] and t-norms defined on [a, 1], where a is the annihilator of the considered aggregation function. In this paper some basic algebraic properties like idempotent and nilpotent elements of nullnorms on the unit interval are introduced and discussed. Then, the direct product of nullnorms on bounded lattices is defined and properties of introduced nullnorms are deeply investigated. Thus by defining such algebraic properties and direct product of nullnorms, triangular norms and triangular conorms are extended to a more general form. Finally, we study some properties concerning orders induced by nullnorms acting on lattices.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10101 - Pure 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

2019

Kód důvěrnosti údajů

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

Název periodika

J INTELL FUZZY SYST

ISSN

1064-1246

e-ISSN

1875-8967

Svazek periodika

36

Číslo periodika v rámci svazku

6

Stát vydavatele periodika

US - Spojené státy americké

Počet stran výsledku

12

Strana od-do

5745-5756

Kód UT WoS článku

000471893900050

EID výsledku v databázi Scopus

2-s2.0-85067593770