Element-Based Construction Methods for Uninorms on Bounded Lattices

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61988987%3A17610%2F25%3AA2603BS9" target="_blank" >RIV/61988987:17610/25:A2603BS9 - isvavai.cz</a>

Výsledek na webu

<a href="https://www.mdpi.com/2075-1680/14/8/552" target="_blank" >https://www.mdpi.com/2075-1680/14/8/552</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.3390/axioms14080552" target="_blank" >10.3390/axioms14080552</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Element-Based Construction Methods for Uninorms on Bounded Lattices

Popis výsledku v původním jazyce

Uninorms are aggregation operators that generalize the t-norms (t-conorms), which are extensions of the logical connectives boolean AND(boolean OR) to the fuzzy set theory. The methods of constructing uninorms on more general algebraic structures (such as bounded posets, lattices, etc.) are an important subject of study, including an extensive work concerning these operations on the unit real interval [0, 1]. The construction of uninorms on bounded lattices has been extensively studied using various aggregation functions, such as t-norms, t-conorms, and t-subnorms. In this paper, we present construction methods for uninorms, based on the elements of a lattice, without using the existence of the mentioned operators. We determine the necessary and sufficient conditions for the introduced construction methods to result in the uninorms. Then, we show the differences between our methods and several methods known from the literature, including some illustrative examples.

Název v anglickém jazyce

Element-Based Construction Methods for Uninorms on Bounded Lattices

Popis výsledku anglicky

Uninorms are aggregation operators that generalize the t-norms (t-conorms), which are extensions of the logical connectives boolean AND(boolean OR) to the fuzzy set theory. The methods of constructing uninorms on more general algebraic structures (such as bounded posets, lattices, etc.) are an important subject of study, including an extensive work concerning these operations on the unit real interval [0, 1]. The construction of uninorms on bounded lattices has been extensively studied using various aggregation functions, such as t-norms, t-conorms, and t-subnorms. In this paper, we present construction methods for uninorms, based on the elements of a lattice, without using the existence of the mentioned operators. We determine the necessary and sufficient conditions for the introduced construction methods to result in the uninorms. Then, we show the differences between our methods and several methods known from the literature, including some illustrative examples.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

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OECD FORD obor

10101 - Pure mathematics

Projekt

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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

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Číslo periodika v rámci svazku

8

Stát vydavatele periodika

CH - Švýcarská konfederace

Počet stran výsledku

14

Strana od-do

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Kód UT WoS článku

001557119200001

EID výsledku v databázi Scopus

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