| bibtype |
J -
Journal Article
|
| ARLID |
0477091 |
| utime |
20240103214403.9 |
| mtime |
20170817235959.9 |
| SCOPUS |
85023597858 |
| WOS |
000407667900008 |
| DOI |
10.1016/j.jmaa.2017.06.086 |
| title
(primary) (eng) |
On the equivalence of the Choquet, pan- and concave integrals on finite spaces |
| specification |
| page_count |
12 s. |
| media_type |
P |
|
| serial |
| ARLID |
cav_un_epca*0257017 |
| ISSN |
0022-247X |
| title
|
Journal of Mathematical Analysis and Applications |
| volume_id |
456 |
| volume |
1 (2017) |
| page_num |
151-162 |
| publisher |
|
|
| keyword |
(M)-property |
| keyword |
Choquet integral |
| keyword |
Concave integral |
| keyword |
Minimal atom |
| keyword |
Monotone measure |
| keyword |
Pan-integral |
| author
(primary) |
| ARLID |
cav_un_auth*0258953 |
| share |
30 |
| name1 |
Ouyang |
| name2 |
Y. |
| country |
CN |
|
| author
|
| ARLID |
cav_un_auth*0348640 |
| name1 |
Li |
| name2 |
J. |
| country |
CN |
|
| author
|
| ARLID |
cav_un_auth*0101163 |
| full_dept (cz) |
Ekonometrie |
| full_dept |
Department of Econometrics |
| department (cz) |
E |
| department |
E |
| full_dept |
Department of Econometrics |
| share |
40 |
| name1 |
Mesiar |
| name2 |
Radko |
| institution |
UTIA-B |
| fullinstit |
Ústav teorie informace a automatizace AV ČR, v. v. i. |
|
| source |
|
| cas_special |
| abstract
(eng) |
In this paper we introduce the concept of maximal cluster of minimal atoms on monotone measure spaces and by means of this new concept we continue to investigate the relation between the Choquet integral and the pan-integral on finite spaces. It is proved that the (M)-property of a monotone measure is a sufficient condition that the Choquet integral coincides with the pan-integral based on the usual addition + and multiplication. Thus, combining our recent results, we provide a necessary and sufficient condition that the Choquet integral is equivalent to the pan-integral on finite spaces. Meanwhile, we also use the characteristics of minimal atoms of monotone measure to present another necessary and sufficient condition that these two kinds of integrals are equivalent on finite spaces. The relationships among the Choquet integral, the pan-integral and the concave integral are summarized. |
| RIV |
BA |
| FORD0 |
10000 |
| FORD1 |
10100 |
| FORD2 |
10101 |
| reportyear |
2018 |
| num_of_auth |
3 |
| inst_support |
RVO:67985556 |
| permalink |
http://hdl.handle.net/11104/0274029 |
| confidential |
S |
| mrcbC86 |
1 Article Mathematics Applied|Mathematics |
| mrcbC86 |
1* Article Mathematics Applied|Mathematics |
| mrcbC86 |
1* Article Mathematics Applied|Mathematics |
| mrcbT16-e |
MATHEMATICS|MATHEMATICSAPPLIED |
| mrcbT16-j |
0.737 |
| mrcbT16-s |
1.103 |
| mrcbT16-B |
62.848 |
| mrcbT16-D |
Q2 |
| mrcbT16-E |
Q1 |
| arlyear |
2017 |
| mrcbU14 |
85023597858 SCOPUS |
| mrcbU24 |
PUBMED |
| mrcbU34 |
000407667900008 WOS |
| mrcbU63 |
cav_un_epca*0257017 Journal of Mathematical Analysis and Applications 0022-247X 1096-0813 Roč. 456 č. 1 2017 151 162 Elsevier |
|