| bibtype |
M -
Monography Chapter
|
| ARLID |
0411472 |
| utime |
20240103182330.1 |
| mtime |
20060210235959.9 |
| ISBN |
0-444-51814-2 |
| title
(primary) (eng) |
Semigroups and triangular norms |
| publisher |
| place |
Amsterdam |
| name |
Elsevier |
| pub_time |
2005 |
|
| specification |
|
| serial |
| title
|
Logical, Algebraic, Analytic, and Probabilistic Aspects of Triangular Norms |
| page_num |
63-94 |
| editor |
| name1 |
Klement |
| name2 |
E. P. |
|
| editor |
|
|
| title
(cze) |
Pologrupy a triangulárne normy |
| keyword |
triangular norms |
| keyword |
semigroup |
| keyword |
subsemigroup |
| keyword |
I-semigroup |
| 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) |
Triangular norms turn the unit interval, equipped with the natural order, into a totally ordered semigroup with neutral element 1 and annihilator 0. After fixing the algebraic notions we study the relationship between subsemigroups and Archimedean components and triangular norms. Particular attention is paid to ordinal sums allowing new semigroups to be constructed from given ones. Another types of semigroups, the I-semigroups, is closely linked to continuous triangular norms. |
| abstract
(cze) |
Triangulárne normy robia z jednotkového intervalu (s prirodzeným usporiadaním) úplne usporiadanú pologrupu s neutrálnym prvkom 1 a anihilátorom 0. Po zavedení algebraických pojmov študujeme vzťahy medzi pologrupami, Archimedovskými komponentami a triangulárnym normami. Venujeme sa najmä ordinálnym súčtom, ktoré umožňujú konštruovať nové pologrupy z daných pologrúp. Iné typy pologrúp, konkrétne I-pologrupy, sú blizke spojitým triangulárnym normám. |
| RIV |
BA |
| reportyear |
2006 |
| department |
E |
| permalink |
http://hdl.handle.net/11104/0131552 |
| ID_orig |
UTIA-B 20050202 |
| arlyear |
2005 |
| mrcbU10 |
2005 |
| mrcbU10 |
Amsterdam Elsevier |
| mrcbU12 |
0-444-51814-2 |
| mrcbU63 |
Logical, Algebraic, Analytic, and Probabilistic Aspects of Triangular Norms 63 94 |
| mrcbU67 |
Klement E. P. 340 |
| mrcbU67 |
Mesiar R. 340 |
|