Characterization of uninorms on bounded lattices

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61988987%3A17610%2F17%3AA2301KV5" target="_blank" >RIV/61988987:17610/17:A2301KV5 - isvavai.cz</a>

Nalezeny alternativní kódy

RIV/61988987:17610/17:A1701KV5

Výsledek na webu

<a href="https://www.sciencedirect.com/science/article/pii/S0165011416301749" target="_blank" >https://www.sciencedirect.com/science/article/pii/S0165011416301749</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1016/j.fss.2016.05.014" target="_blank" >10.1016/j.fss.2016.05.014</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Characterization of uninorms on bounded lattices

Popis výsledku v původním jazyce

In this paper, we propose a characterization of uninorms on a general bounded lattice L by means of a sextuple of a triangular norm, a triangular conorm, and four aggregation functions on L. Observe that in the case when L is a chain, it is enough to consider a triple consisting of a t-norm, a t-conorm and an averaging aggregation function. An example of a proper uninorm which has an absorbing element differing from both 0 and 1 is also shown (note that this cannot happen if we consider uninorms acting on a chain). Two general constructions of uninorms on L are added, letting a t-norm (a t-conorm) linked to a fixed neutral element e of the constructed uninorm to be free and fixing the remaining functions.

Název v anglickém jazyce

Characterization of uninorms on bounded lattices

Popis výsledku anglicky

In this paper, we propose a characterization of uninorms on a general bounded lattice L by means of a sextuple of a triangular norm, a triangular conorm, and four aggregation functions on L. Observe that in the case when L is a chain, it is enough to consider a triple consisting of a t-norm, a t-conorm and an averaging aggregation function. An example of a proper uninorm which has an absorbing element differing from both 0 and 1 is also shown (note that this cannot happen if we consider uninorms acting on a chain). Two general constructions of uninorms on L are added, letting a t-norm (a t-conorm) linked to a fixed neutral element e of the constructed uninorm to be free and fixing the remaining functions.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10101 - Pure mathematics

Projekt

<a href="/cs/project/ED1.1.00%2F02.0070" target="_blank" >ED1.1.00/02.0070: Centrum excelence IT4Innovations</a><br>

Návaznosti

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Rok uplatnění

2017

Kód důvěrnosti údajů

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

Název periodika

FUZZY SET SYST

ISSN

0165-0114

e-ISSN

—

Svazek periodika

—

Číslo periodika v rámci svazku

1

Stát vydavatele periodika

NL - Nizozemsko

Počet stran výsledku

18

Strana od-do

54-71

Kód UT WoS článku

000390077100004

EID výsledku v databázi Scopus

2-s2.0-84976472973