bibtype M - Monography Chapter
ARLID 0411466
utime 20240103182329.6
mtime 20060210235959.9
ISBN 0-444-51814-2
title (primary) (eng) Triangular norms: Basic notions and properties
publisher
place Amsterdam
name Elsevier
pub_time 2005
specification
page_count 46 s.
serial
title Logical, Algebraic, Analytic, and Probabilistic Aspects of Triangular Norms
page_num 17-62
editor
name1 Klement
name2 E. P.
editor
name1 Mesiar
name2 R.
title (cze) Triangulárne normy: základné pojmy a vlastnosti
keyword triangular norms and conorms
keyword additive and multiplicative generators
keyword construction methods
author (primary)
ARLID cav_un_auth*0208902
name1 Klement
name2 E.P.
country AT
author
ARLID cav_un_auth*0101163
name1 Mesiar
name2 Radko
institution UTIA-B
full_dept Department of Econometrics
fullinstit Ústav teorie informace a automatizace AV ČR, v. v. i.
author
ARLID cav_un_auth*0021106
name1 Pap
name2 E.
country CS
COSATI 12A
cas_special
project
project_id GA402/04/1026
agency GA ČR
ARLID cav_un_auth*0001809
research CEZ:AV0Z10750506
abstract (eng) The basic definitions concerning triangular norms and conorms are collected. We also mention the most important algebraic and analytical properties a triangular norm may have. We discuss the construction of triangular norms by means of additive and multiplicative generators and via ordinal sums, and we mention also some other construction methods. Finally we present the representation theorems of continuous Archimedean triangular norms and of continuous triangular norms.
abstract (cze) Uvádzame základné definície týkajúce sa triangulárnych noriem a konoriem. Pripomíname najdôležitejšie algebraické a analytické vlastnosti t-noriem, rozoberáme konštrukciu triangulárnych noriem pomocou aditívnych a multiplikatívnych generátorov a ordinálnych súčtov a spomíname aj niektoré ďalšie konštrukčné metódy. Záverom uvádzame reprezentačnú vetu pre spojité Archimedovské t-normy a spojité t-normy.
RIV BA
reportyear 2006
department E
permalink http://hdl.handle.net/11104/0131546
ID_orig UTIA-B 20050196
arlyear 2005
mrcbU10 2005
mrcbU10 Amsterdam Elsevier
mrcbU12 0-444-51814-2
mrcbU63 Logical, Algebraic, Analytic, and Probabilistic Aspects of Triangular Norms 17 62
mrcbU67 Klement E. P. 340
mrcbU67 Mesiar R. 340