| bibtype |
J -
Journal Article
|
| ARLID |
0322892 |
| utime |
20240111140717.3 |
| mtime |
20090424235959.9 |
| WOS |
000263661700006 |
| DOI |
10.1016/j.fss.2008.09.018 |
| title
(primary) (eng) |
Migrativity of aggregation functions |
| specification |
| page_count |
12 s. |
| media_type |
www |
|
| serial |
| ARLID |
cav_un_epca*0256642 |
| ISSN |
0165-0114 |
| title
|
Fuzzy Sets and Systems |
| volume_id |
160 |
| volume |
6 (2009) |
| page_num |
766-777 |
| publisher |
|
|
| title
(cze) |
Migrativita agregačních funkcií |
| keyword |
Aggregation functions |
| keyword |
Associativity |
| keyword |
Bisymmetry |
| keyword |
Migrativity |
| keyword |
Nullnorms |
| keyword |
t-Norms |
| keyword |
Uninorms |
| author
(primary) |
| ARLID |
cav_un_auth*0248954 |
| name1 |
Bustince |
| name2 |
H. |
| country |
ES |
|
| author
|
| ARLID |
cav_un_auth*0248955 |
| name1 |
Montero |
| name2 |
J. |
| country |
ES |
|
| 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. |
|
| source |
|
| cas_special |
| project |
| project_id |
GA402/08/0618 |
| agency |
GA ČR |
| ARLID |
cav_un_auth*0241569 |
|
| research |
CEZ:AV0Z10750506 |
| abstract
(eng) |
In this paper we introduce a slight modification of the definition of migrativity for aggregation functions that allows useful characterization of this property. In this context we prove that there are no t-conorms, uninorms or nullnorms that satisfy migrativity and that the only migrative idempotent aggregation function is the geometric mean. The k-Lipschitz migrative aggregation functions are also characterized and the product is shown to be the only 1-Lipschitz migrative aggregation function. Finally, the associativity and bisymmetry of migrative aggregation functions are discussed. |
| abstract
(cze) |
Pro agregační funkce jsme zavedli malou modifikci definice migrativity, která umožní vhodnou charakterizaci této vlastnosti. Ukázali jsme, že neexistují t-conormy, uninormy a nullnormy, které by vyhovovali migrativitě a že jediná migrativní idempotentní agregační funkce je geometrický příměr. Dále jsme charakterizovali k-Lipschitzovskou migrativní agregační funkci a ukázali jsme, že jediná 1-Lipschitzovská migrativní funkce je součin. Na závěr jsme se věnovali asociativitě a bisymetrii migrativních agregačních funkcí. |
| reportyear |
2009 |
| RIV |
BA |
| permalink |
http://hdl.handle.net/11104/0171025 |
| mrcbT16-f |
2.551 |
| mrcbT16-g |
0.256 |
| mrcbT16-h |
>10.0 |
| mrcbT16-i |
0.01349 |
| mrcbT16-j |
0.605 |
| mrcbT16-k |
13363 |
| mrcbT16-l |
227 |
| mrcbT16-q |
99 |
| mrcbT16-s |
1.656 |
| mrcbT16-y |
28.82 |
| mrcbT16-x |
2.83 |
| arlyear |
2009 |
| mrcbU34 |
000263661700006 WOS |
| mrcbU56 |
pdf |
| mrcbU63 |
cav_un_epca*0256642 Fuzzy Sets and Systems 0165-0114 1872-6801 Roč. 160 č. 6 2009 766 777 Elsevier |
|