| bibtype |
J -
Journal Article
|
| ARLID |
0432227 |
| utime |
20240103204702.7 |
| mtime |
20141013235959.9 |
| WOS |
000329003200013 |
| DOI |
10.1016/j.ins.2013.09.013 |
| title
(primary) (eng) |
Atoms of weakly null-additive monotone measures and integrals |
| specification |
| page_count |
10 s. |
| media_type |
P |
|
| serial |
| ARLID |
cav_un_epca*0256752 |
| ISSN |
0020-0255 |
| title
|
Information Sciences |
| volume_id |
257 |
| volume |
1 (2014) |
| page_num |
183-192 |
| publisher |
|
|
| keyword |
atom of a measure |
| keyword |
weak null-additivty |
| keyword |
monotone measure |
| author
(primary) |
| ARLID |
cav_un_auth*0205590 |
| name1 |
Li |
| name2 |
J. |
| country |
CN |
| share |
20 |
|
| author
|
| ARLID |
cav_un_auth*0101163 |
| name1 |
Mesiar |
| name2 |
Radko |
| full_dept (cz) |
Ekonometrie |
| full_dept |
Department of Econometrics |
| department (cz) |
E |
| department |
E |
| institution |
UTIA-B |
| full_dept |
Department of Econometrics |
| garant |
K |
| share |
60 |
| fullinstit |
Ústav teorie informace a automatizace AV ČR, v. v. i. |
|
| author
|
| ARLID |
cav_un_auth*0280491 |
| name1 |
Pap |
| name2 |
E. |
| country |
RS |
| share |
20 |
|
| source |
|
| cas_special |
| project |
| project_id |
GAP402/11/0378 |
| agency |
GA ČR |
| ARLID |
cav_un_auth*0273630 |
|
| abstract
(eng) |
In this paper, we prove some properties of atoms of weakly null-additive monotone measures. By using the regularity and weak null-additivity, a sin-gleton characterization of atoms of monotone measures on a metric space is shown. It is a generalization of previous results obtained by Pap. The calculation of the Sugeno integral and the Choquet integral over an atom is also presented, respectively. Similar results for recently introduced universal integral are also given. Following these results, it is shown that the Sugeno integral and the Choquet integral over an atom of monotone measure is maxitive linear and standard linear, respectively. Convergence theorems for the Sugeno integral and the Choquet integral over an atom of a monotone measure are also shown. |
| reportyear |
2015 |
| RIV |
BA |
| num_of_auth |
3 |
| inst_support |
RVO:67985556 |
| permalink |
http://hdl.handle.net/11104/0237121 |
| confidential |
S |
| mrcbT16-e |
COMPUTERSCIENCEINFORMATIONSYSTEMS |
| mrcbT16-j |
0.873 |
| mrcbT16-s |
2.226 |
| mrcbT16-4 |
Q1 |
| mrcbT16-B |
74.327 |
| mrcbT16-C |
96.043 |
| mrcbT16-D |
Q2 |
| mrcbT16-E |
Q1* |
| arlyear |
2014 |
| mrcbU34 |
000329003200013 WOS |
| mrcbU63 |
cav_un_epca*0256752 Information Sciences 0020-0255 1872-6291 Roč. 257 č. 1 2014 183 192 Elsevier |
|