Element-Oriented Construction Methods for Nullnorms on Bounded Lattices

Result code in 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>

Result on the web

<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>

Result language

angličtina

Original language name

Element-Oriented Construction Methods for Nullnorms on Bounded Lattices

Original language description

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.

Czech name

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Czech description

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Type

J_imp - Article in a specialist periodical, which is included in the Web of Science database

CEP classification

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OECD FORD branch

10101 - Pure mathematics

Project

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Continuities

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year

2025

Confidentiality

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

Name of the periodical

Axioms

ISSN

2075-1680

e-ISSN

2075-1680

Volume of the periodical

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Issue of the periodical within the volume

12

Country of publishing house

CH - SWITZERLAND

Number of pages

17

Pages from-to

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UT code for WoS article

001645922700001

EID of the result in the Scopus database

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