Element-Based Construction Methods for Uninorms on Bounded Lattices

Result code in 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>

Result on the web

<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>

Result language

angličtina

Original language name

Element-Based Construction Methods for Uninorms on Bounded Lattices

Original language description

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.

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

8

Country of publishing house

CH - SWITZERLAND

Number of pages

14

Pages from-to

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UT code for WoS article

001557119200001

EID of the result in the Scopus database

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