| bibtype |
J -
Journal Article
|
| ARLID |
0559705 |
| utime |
20230418205015.6 |
| mtime |
20220805235959.9 |
| SCOPUS |
85130886800 |
| WOS |
000801845900001 |
| DOI |
10.3390/axioms11050240 |
| title
(primary) (eng) |
Fuzzy Caratheodory's Theorem and Outer *-Fuzzy Measure |
| specification |
| page_count |
10 s. |
| media_type |
E |
|
| serial |
| ARLID |
cav_un_epca*0559704 |
| ISSN |
AXIOMS |
| title
|
AXIOMS |
| volume_id |
11 |
| publisher |
|
|
| keyword |
∗-outer fuzzy measure |
| keyword |
t-norm |
| keyword |
∗-fuzzy premeasure |
| keyword |
Caratheodory’s theorem |
| author
(primary) |
| ARLID |
cav_un_auth*0101163 |
| name1 |
Mesiar |
| name2 |
Radko |
| institution |
UTIA-B |
| full_dept (cz) |
Ekonometrie |
| full_dept (eng) |
Department of Econometrics |
| department (cz) |
E |
| department (eng) |
E |
| full_dept |
Department of Econometrics |
| share |
25 |
| garant |
K |
| fullinstit |
Ústav teorie informace a automatizace AV ČR, v. v. i. |
|
| author
|
| ARLID |
cav_un_auth*0348246 |
| name1 |
Li |
| name2 |
Ch. |
| country |
CN |
| share |
25 |
|
| author
|
| ARLID |
cav_un_auth*0408156 |
| name1 |
Ghaffari |
| name2 |
A. |
| country |
IR |
| share |
25 |
|
| author
|
| ARLID |
cav_un_auth*0434048 |
| name1 |
Saadati |
| name2 |
R. |
| country |
IR |
| share |
25 |
|
| source |
|
| source |
|
| cas_special |
| abstract
(eng) |
The goal of this paper is to introduce two new concepts ∗-fuzzy premeasure and outer ∗-fuzzy measure, and to further prove some properties, such as Caratheodory’s Theorem, as well as the unique extension of ∗-fuzzy premeasure. This theorem is remarkable for it allows one to construct a ∗-fuzzy measure by first defining it on a small algebra of sets, where its ∗-additivity could be easy to verify, and then this theorem guarantees its extension to a sigma-algebra. |
| result_subspec |
WOS |
| RIV |
BA |
| FORD0 |
10000 |
| FORD1 |
10100 |
| FORD2 |
10101 |
| reportyear |
2023 |
| num_of_auth |
4 |
| inst_support |
RVO:67985556 |
| permalink |
https://hdl.handle.net/11104/0333420 |
| confidential |
S |
| article_num |
240 |
| mrcbC86 |
n.a. Article Mathematics Applied |
| mrcbC91 |
A |
| mrcbT16-e |
MATHEMATICSAPPLIED |
| mrcbT16-j |
0.322 |
| mrcbT16-s |
0.388 |
| mrcbT16-D |
Q4 |
| mrcbT16-E |
Q4 |
| arlyear |
2022 |
| mrcbU14 |
85130886800 SCOPUS |
| mrcbU24 |
PUBMED |
| mrcbU34 |
000801845900001 WOS |
| mrcbU63 |
cav_un_epca*0559704 AXIOMS 2075-1680 Roč. 11 č. 5 2022 MDPI |
|