| bibtype |
J -
Journal Article
|
| ARLID |
0545166 |
| utime |
20220328124748.2 |
| mtime |
20210903235959.9 |
| WOS |
000637966800004 |
| SCOPUS |
85089189678 |
| DOI |
10.1016/j.fss.2020.07.020 |
| title
(primary) (eng) |
Generalized convergence theorems for monotone measures |
| specification |
| page_count |
12 s. |
| media_type |
P |
|
| serial |
| ARLID |
cav_un_epca*0256642 |
| ISSN |
0165-0114 |
| title
|
Fuzzy Sets and Systems |
| volume_id |
412 |
| volume |
1 (2021) |
| page_num |
53-64 |
| publisher |
|
|
| keyword |
Absolute continuity |
| keyword |
Egoroff's theorem |
| keyword |
Lebesgue's theorem |
| keyword |
Non-additive measure |
| keyword |
Riesz's theorem |
| author
(primary) |
| ARLID |
cav_un_auth*0348640 |
| name1 |
Li |
| name2 |
J. |
| country |
CN |
| share |
35 |
| garant |
K |
|
| author
|
| ARLID |
cav_un_auth*0258953 |
| name1 |
Ouyang |
| name2 |
Y. |
| country |
CN |
| share |
35 |
|
| 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 |
30 |
| fullinstit |
Ústav teorie informace a automatizace AV ČR, v. v. i. |
|
| source |
|
| source |
|
| cas_special |
| abstract
(eng) |
In this paper, we propose three types of absolute continuity for monotone measures and present some of their basic properties. By means of these three types of absolute continuity, we establish generalized Egoroff's theorem, generalized Riesz's theorem and generalized Lebesgue's theorem in the framework involving the ordered pair of monotone measures. The Egoroff theorem, the Riesz theorem and the Lebesgue theorem in the traditional sense concerning a unique monotone measure are extended to the general case. These three generalized convergence theorems include as special cases several previous versions of Egoroff-like theorem, Riesz-like theorem and Lebesgue-like theorem for monotone measures. |
| result_subspec |
WOS |
| RIV |
BA |
| FORD0 |
10000 |
| FORD1 |
10100 |
| FORD2 |
10101 |
| reportyear |
2022 |
| num_of_auth |
3 |
| inst_support |
RVO:67985556 |
| permalink |
http://hdl.handle.net/11104/0321916 |
| confidential |
S |
| mrcbC86 |
2 Article Computer Science Theory Methods|Mathematics Applied|Statistics Probability |
| mrcbC91 |
C |
| mrcbT16-e |
COMPUTERSCIENCETHEORYMETHODS|MATHEMATICSAPPLIED|STATISTICSPROBABILITY |
| mrcbT16-j |
0.7 |
| mrcbT16-s |
1.338 |
| mrcbT16-D |
Q2 |
| mrcbT16-E |
Q2 |
| arlyear |
2021 |
| mrcbU14 |
85089189678 SCOPUS |
| mrcbU24 |
PUBMED |
| mrcbU34 |
000637966800004 WOS |
| mrcbU63 |
cav_un_epca*0256642 Fuzzy Sets and Systems 0165-0114 1872-6801 Roč. 412 č. 1 2021 53 64 Elsevier |
|