0491734 20240103220254.620180725235959.9 85045406651 000430137900005 10.1142/S0218488518500137 5 s. P cav_un_epca*02534490218-4885262 (2018)255-259World Scientific Publishing Choquet expectation Pettis integral vector space cav_un_auth*0261431 50 Agahi H. IR K cav_un_auth*0101163 Ekonometrie Department of Econometrics E E Department of Econometrics 50 Mesiar Radko UTIA-B Ústav teorie informace a automatizace AV ČR, v. v. i. http://library.utia.cas.cz/separaty/2018/E/mesiar-0491734.pdf 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. WOS BA 10000 10100 10101 2019 2 RVO:67985556 http://hdl.handle.net/11104/0285672 S 3+4 Article Computer Science Artificial Intelligence COMPUTERSCIENCE.ARTIFICIALINTELLIGENCE 1.530 0.525 12.3 0.00102 0.272 1882 0.393 1.151 59 Q3 17.26 25.7 Q4 Q3 0.33 Q3 25.746 2018 85045406651 SCOPUS PUBMED 000430137900005 WOS 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