| bibtype |
J -
Journal Article
|
| ARLID |
0477549 |
| utime |
20240103214441.4 |
| mtime |
20170905235959.9 |
| SCOPUS |
85027842943 |
| WOS |
000413380900017 |
| DOI |
10.1016/j.ijar.2017.08.001 |
| title
(primary) (eng) |
On linearity of pan-integral and pan-integrable functions space |
| specification |
| page_count |
12 s. |
| media_type |
P |
|
| serial |
| ARLID |
cav_un_epca*0256774 |
| ISSN |
0888-613X |
| title
|
International Journal of Approximate Reasoning |
| volume_id |
90 |
| volume |
1 (2017) |
| page_num |
307-318 |
| publisher |
|
|
| keyword |
linearity |
| keyword |
monotone measure |
| keyword |
Pan-integrable space |
| author
(primary) |
| ARLID |
cav_un_auth*0258953 |
| share |
30 |
| name1 |
Ouyang |
| name2 |
Y. |
| country |
CN |
| garant |
K |
|
| 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) |
This paper investigates the linearity and integrability of the (+, center dot)based pan-integrals on subadditive monotone measure spaces. It is shown that all nonnegative pan-integrable functions form a convex cone and the restriction of the pan-integral to the convex cone is a positive homogeneous linear functional. We extend the pan-integral to the general real-valued measurable functions. The generalized pan-integrals are shown to be symmetric and fully homogeneous, and to remain additive for all pan-integrable functions. Thus for a subadditive monotone measure the generalized pan-integral is linear functional defined on the linear space which consists of all pan-integrable functions. We define a p-norm on the linear space consisting of all p-th order pan-integrable functions, and when the monotone measure pi, is continuous we obtain a complete normed linear space L-pan(p) (X, t) equipped with the p-norm, i.e., an analogue of classical Lebesgue space L-P |
| RIV |
BA |
| FORD0 |
10000 |
| FORD1 |
10100 |
| FORD2 |
10101 |
| reportyear |
2018 |
| num_of_auth |
3 |
| inst_support |
RVO:67985556 |
| permalink |
http://hdl.handle.net/11104/0274042 |
| confidential |
S |
| mrcbC86 |
3+4 Article Computer Science Artificial Intelligence |
| mrcbC86 |
3+4 Article Computer Science Artificial Intelligence |
| mrcbC86 |
3+4 Article Computer Science Artificial Intelligence |
| mrcbT16-e |
COMPUTERSCIENCEARTIFICIALINTELLIGENCE |
| mrcbT16-j |
0.658 |
| mrcbT16-s |
0.866 |
| mrcbT16-B |
44.33 |
| mrcbT16-D |
Q3 |
| mrcbT16-E |
Q2 |
| arlyear |
2017 |
| mrcbU14 |
85027842943 SCOPUS |
| mrcbU24 |
PUBMED |
| mrcbU34 |
000413380900017 WOS |
| mrcbU63 |
cav_un_epca*0256774 International Journal of Approximate Reasoning 0888-613X 1873-4731 Roč. 90 č. 1 2017 307 318 Elsevier |
|