bibtype J - Journal Article
ARLID 0491734
utime 20240103220254.6
mtime 20180725235959.9
SCOPUS 85045406651
WOS 000430137900005
DOI 10.1142/S0218488518500137
title (primary) (eng) On Choquet-Pettis Expectation of Banach-Valued Functions: A Counter Example
specification
page_count 5 s.
media_type P
serial
ARLID cav_un_epca*0253449
ISSN 0218-4885
title International Journal of Uncertainty Fuzziness and Knowledge-Based Systems
volume_id 26
volume 2 (2018)
page_num 255-259
publisher
name World Scientific Publishing
keyword Choquet expectation
keyword Pettis integral
keyword vector space
author (primary)
ARLID cav_un_auth*0261431
share 50
name1 Agahi
name2 H.
country IR
garant K
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 50
name1 Mesiar
name2 Radko
institution UTIA-B
fullinstit Ústav teorie informace a automatizace AV ČR, v. v. i.
source
url http://library.utia.cas.cz/separaty/2018/E/mesiar-0491734.pdf
cas_special
abstract (eng) In probability theory, mathematical expectation of a random variable is very important. Choquet expectation (integral), as a generalization of mathematical expectation, is a powerful tool in various areas, mainly in generalized probability theory and decision theory. In vector spaces, combining Choquet expectation and Pettis integral has led to a challenging and an interesting subject for researchers. In this paper, we indicate and discuss a failure in the previous definition of Choquet-Pettis integral of Banach space- valued functions. To obtain a correct definition of Choquet-Pettis integral, an open problem concerning the linearity of the Choquet integral is stated.
result_subspec WOS
RIV BA
FORD0 10000
FORD1 10100
FORD2 10101
reportyear 2019
num_of_auth 2
inst_support RVO:67985556
permalink http://hdl.handle.net/11104/0285672
confidential S
mrcbC86 3+4 Article Computer Science Artificial Intelligence
mrcbT16-e COMPUTERSCIENCEARTIFICIALINTELLIGENCE
mrcbT16-j 0.272
mrcbT16-s 0.393
mrcbT16-B 17.26
mrcbT16-D Q4
mrcbT16-E Q3
arlyear 2018
mrcbU14 85045406651 SCOPUS
mrcbU24 PUBMED
mrcbU34 000430137900005 WOS
mrcbU63 cav_un_epca*0253449 International Journal of Uncertainty Fuzziness and Knowledge-Based Systems 0218-4885 1793-6411 Roč. 26 č. 2 2018 255 259 World Scientific Publishing