Direct product of nullnorms on bounded lattices

Result code in 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>
Result on the web
<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>

Result language
angličtina
Original language name
Direct product of nullnorms on bounded lattices
Original language description
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.
Czech name
—
Czech description
—

Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
—
OECD FORD branch
10101 - Pure mathematics

Project
<a href="/en/project/LQ1602" target="_blank" >LQ1602: IT4Innovations excellence in science</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2019
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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