| bibtype |
J -
Journal Article
|
| ARLID |
0600441 |
| utime |
20250320142841.0 |
| mtime |
20241107235959.9 |
| SCOPUS |
85208193348 |
| WOS |
001354223900001 |
| DOI |
10.1016/j.fss.2024.109178 |
| title
(primary) (eng) |
Some notes on the coincidence of the Choquet integral and the pan-integral |
| specification |
| page_count |
9 s. |
| media_type |
P |
|
| serial |
| ARLID |
cav_un_epca*0256642 |
| ISSN |
0165-0114 |
| title
|
Fuzzy Sets and Systems |
| volume_id |
499 |
| publisher |
|
|
| keyword |
Monotone measures |
| keyword |
(M)-property |
| keyword |
Weak (M)-property |
| keyword |
Pan-integral |
| keyword |
Choquet integral |
| author
(primary) |
| ARLID |
cav_un_auth*0475908 |
| name1 |
Kang |
| name2 |
T. |
| country |
CN |
| share |
25 |
|
| author
|
| ARLID |
cav_un_auth*0101163 |
| name1 |
Mesiar |
| name2 |
Radko |
| institution |
UTIA-B |
| full_dept (cz) |
Ekonometrie |
| full_dept |
Department of Econometrics |
| department (cz) |
E |
| department |
E |
| full_dept |
Department of Econometrics |
| share |
25 |
| fullinstit |
รstav teorie informace a automatizace AV ฤR, v. v. i. |
|
| author
|
| ARLID |
cav_un_auth*0258953 |
| name1 |
Ouyang |
| name2 |
Y. |
| country |
CN |
| share |
25 |
| garant |
K |
|
| author
|
| ARLID |
cav_un_auth*0348640 |
| name1 |
Li |
| name2 |
J. |
| country |
CN |
|
| source |
|
| source |
|
| cas_special |
| abstract
(eng) |
In this note, we provide an example to show the weak (M)-property is really weaker than the (M)-property for some finite monotone measure defined on infinite space, and hence answer an open problem which was proposed in the paper (Li et al. (2023) [9]). We prove that if a monotone measure ๐ is autocontinuous, then the weak (M)-property and the (M)-property of ๐ are equivalent. We propose the concept of (C-P)-property of monotone measures and show a set of sufficient and necessary conditions that the Choquet integral coincides with the pan-integral. We further study the relationships between the Choquet integral and the pan-integral in the setting of the ordered pairs of monotone measures, and obtain some interesting properties. |
| reportyear |
2026 |
| RIV |
BA |
| result_subspec |
WOS |
| FORD0 |
10000 |
| FORD1 |
10100 |
| FORD2 |
10101 |
| num_of_auth |
4 |
| inst_support |
RVO:67985556 |
| permalink |
https://hdl.handle.net/11104/0357783 |
| confidential |
S |
| article_num |
109178 |
| mrcbC91 |
C |
| mrcbT16-e |
COMPUTERSCIENCETHEORYMETHODS|MATHEMATICSAPPLIED|STATISTICSPROBABILITY |
| mrcbT16-j |
0.645 |
| mrcbT16-s |
1.009 |
| mrcbT16-D |
Q3 |
| mrcbT16-E |
Q2 |
| arlyear |
2025 |
| mrcbU14 |
85208193348 SCOPUS |
| mrcbU24 |
PUBMED |
| mrcbU34 |
001354223900001 WOS |
| mrcbU63 |
cav_un_epca*0256642 Fuzzy Sets and Systems 499 1 2025 0165-0114 1872-6801 Elsevier |
|