{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,31]],"date-time":"2025-10-31T14:20:44Z","timestamp":1761920444218},"reference-count":10,"publisher":"World Scientific Pub Co Pte Lt","issue":"02","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Unc. Fuzz. Knowl. Based Syst."],"published-print":{"date-parts":[[2018,4]]},"abstract":"<jats:p> 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. <\/jats:p>","DOI":"10.1142\/s0218488518500137","type":"journal-article","created":{"date-parts":[[2018,4,13]],"date-time":"2018-04-13T01:41:59Z","timestamp":1523583719000},"page":"255-259","source":"Crossref","is-referenced-by-count":3,"title":["On Choquet-Pettis Expectation of Banach-Valued Functions: A Counter Example"],"prefix":"10.1142","volume":"26","author":[{"given":"Hamzeh","family":"Agahi","sequence":"first","affiliation":[{"name":"Department of Mathematics, Faculty of Basic Science, Babol Noshirvani University of Technology, Shariati Ave., Babol, 47148-71167, Iran"}]},{"given":"Radko","family":"Mesiar","sequence":"additional","affiliation":[{"name":"Department of Mathematics and Descriptive Geometry, Faculty of Civil Engineering, Slovak University of Technology, SK-810 05 Bratislava, Slovakia"},{"name":"Institute of Information Theory and Automation of the Czech Academy of Sciences, Pod vod\u00e0renskou v\u011b\u017ei 4, 182 08 Praha 8, Czech Republic"}]}],"member":"219","published-online":{"date-parts":[[2018,4,12]]},"reference":[{"key":"p_1","doi-asserted-by":"publisher","DOI":"10.5802\/aif.53"},{"key":"p_5","first-page":"1098","volume":"46","author":"Mesiar R.","year":"2010","journal-title":"Kybernetika"},{"key":"p_6","doi-asserted-by":"publisher","DOI":"10.1007\/BF02032160"},{"key":"p_7","doi-asserted-by":"publisher","DOI":"10.1007\/s001820050125"},{"key":"p_8","first-page":"117","volume":"5","author":"Kojadinovic I.","year":"2007","journal-title":"Operations Research"},{"issue":"1","key":"p_9","first-page":"1","volume":"77","author":"Greco S.","journal-title":"Decision"},{"key":"p_11","doi-asserted-by":"publisher","DOI":"10.1016\/j.cie.2013.11.013"},{"key":"p_12","doi-asserted-by":"publisher","DOI":"10.11568\/kjm.2014.22.2.383"},{"key":"p_13","doi-asserted-by":"publisher","DOI":"10.2307\/1911053"},{"issue":"2","key":"p_15","first-page":"141","volume":"29","author":"Sipos J.","journal-title":"Mathematica Slovaca"}],"container-title":["International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S0218488518500137","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,8,7]],"date-time":"2019-08-07T02:13:39Z","timestamp":1565144019000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S0218488518500137"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2018,4]]},"references-count":10,"journal-issue":{"issue":"02","published-online":{"date-parts":[[2018,4,12]]},"published-print":{"date-parts":[[2018,4]]}},"alternative-id":["10.1142\/S0218488518500137"],"URL":"https:\/\/doi.org\/10.1142\/s0218488518500137","relation":{},"ISSN":["0218-4885","1793-6411"],"issn-type":[{"value":"0218-4885","type":"print"},{"value":"1793-6411","type":"electronic"}],"subject":[],"published":{"date-parts":[[2018,4]]}}}