Triadic fuzzy Galois connections as ordinary connections

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989592%3A15310%2F14%3A33155523" target="_blank" >RIV/61989592:15310/14:33155523 - isvavai.cz</a>

Výsledek na webu

<a href="http://www.sciencedirect.com/science/article/pii/S0165011414000530" target="_blank" >http://www.sciencedirect.com/science/article/pii/S0165011414000530</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1016/j.fss.2014.02.003" target="_blank" >10.1016/j.fss.2014.02.003</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Triadic fuzzy Galois connections as ordinary connections

Popis výsledku v původním jazyce

We present results on triadic Galois connections and trilattices associated with ternary fuzzy relations. These structures are fundamental in the analysis of three-way relational data. We provide an axiomatization of triadic fuzzy Galois connections andestablish two ways of representing these structures by their ordinary counterpartsâEUR"one via a Cartesian representation and the other via a-cuts. The results allow us to easily transfer some of the known results from the ordinary case to the fuzzy case. This transfer is illustrated by an alternative proof of the basic theorem of fuzzy concept trilattices via reduction to the ordinary basic theorem. In addition, we provide a hint to generalize the presented results to n-ary structures which are of increasing importance in data analysis of n-way data.

Název v anglickém jazyce

Triadic fuzzy Galois connections as ordinary connections

Popis výsledku anglicky

We present results on triadic Galois connections and trilattices associated with ternary fuzzy relations. These structures are fundamental in the analysis of three-way relational data. We provide an axiomatization of triadic fuzzy Galois connections andestablish two ways of representing these structures by their ordinary counterpartsâEUR"one via a Cartesian representation and the other via a-cuts. The results allow us to easily transfer some of the known results from the ordinary case to the fuzzy case. This transfer is illustrated by an alternative proof of the basic theorem of fuzzy concept trilattices via reduction to the ordinary basic theorem. In addition, we provide a hint to generalize the presented results to n-ary structures which are of increasing importance in data analysis of n-way data.

Druh

J_x - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)

CEP obor

IN - Informatika

OECD FORD obor

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Projekt

<a href="/cs/project/GAP202%2F10%2F0262" target="_blank" >GAP202/10/0262: Rozklady matic s binárními a ordinálními daty: teorie, algoritmy, složitost</a><br>

Návaznosti

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

Rok uplatnění

2014

Kód důvěrnosti údajů

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

Název periodika

Fuzzy Sets and Systems

ISSN

0165-0114

e-ISSN

—

Svazek periodika

249

Číslo periodika v rámci svazku

AUG

Stát vydavatele periodika

NL - Nizozemsko

Počet stran výsledku

17

Strana od-do

83-99

Kód UT WoS článku

000338391900005

EID výsledku v databázi Scopus

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