{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2022,3,29]],"date-time":"2022-03-29T18:07:38Z","timestamp":1648577258214},"reference-count":29,"publisher":"World Scientific Pub Co Pte Lt","issue":"06","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Unc. Fuzz. Knowl. Based Syst."],"published-print":{"date-parts":[[2016,12]]},"abstract":"<jats:p> Capacity plays an important role in many areas. A capacity is usually studied under the assumption that it is concave (or convex). In this paper, we perform a further investigation on the Fubini Theorems for concave (or convex) capacities given by Ghirardato (1997) and Chateauneuf and Lefort (2008). We extend Fubini Theorems for capacities to a larger class of functions, which are both \u03bc<jats:sub>1<\/jats:sub>-Choquet integrable and \u03bc<jats:sub>2<\/jats:sub>-Choquet integrable, not to restrict only on slice-comonotonic functions. <\/jats:p>","DOI":"10.1142\/s0218488516500410","type":"journal-article","created":{"date-parts":[[2016,12,1]],"date-time":"2016-12-01T02:48:09Z","timestamp":1480560489000},"page":"901-916","source":"Crossref","is-referenced-by-count":0,"title":["Fubini Theorems for Capacities"],"prefix":"10.1142","volume":"24","author":[{"given":"Hongxia","family":"Wang","sequence":"first","affiliation":[{"name":"College of Statistics, Henan University of Economics and Law, Zhengzhou, Henan, 450046, China"},{"name":"Analysis and Research Center on Education and Statistic Data of Henan Province, Zhengzhou, Henan, 450046, China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"219","published-online":{"date-parts":[[2016,11,30]]},"reference":[{"key":"p_1","doi-asserted-by":"publisher","DOI":"10.2307\/1907921"},{"key":"p_2","doi-asserted-by":"publisher","DOI":"10.2307\/1884324"},{"key":"p_3","doi-asserted-by":"publisher","DOI":"10.5802\/aif.53"},{"key":"p_4","doi-asserted-by":"publisher","DOI":"10.2307\/1911053"},{"key":"p_5","doi-asserted-by":"publisher","DOI":"10.1016\/0165-0114(89)90194-2"},{"key":"p_7","doi-asserted-by":"publisher","DOI":"10.1007\/BF02032159"},{"key":"p_9","doi-asserted-by":"publisher","DOI":"10.1016\/0165-0114(94)00174-6"},{"key":"p_10","doi-asserted-by":"publisher","DOI":"10.1016\/0377-2217(95)00176-X"},{"key":"p_11","first-page":"1","volume":"6","author":"Grabisch M.","year":"2008","journal-title":"Quarterly Journal of Operation Research"},{"key":"p_12","doi-asserted-by":"publisher","DOI":"10.1016\/j.insmatheco.2005.11.010"},{"key":"p_14","doi-asserted-by":"publisher","DOI":"10.1016\/S0167-6687(97)00031-0"},{"key":"p_15","doi-asserted-by":"publisher","DOI":"10.1142\/9789814277266_0017"},{"key":"p_16","doi-asserted-by":"publisher","DOI":"10.1109\/TFUZZ.2009.2039367"},{"key":"p_17","first-page":"931","volume":"46","author":"Mesiar R.","year":"2010","journal-title":"Kybernetika"},{"key":"p_18","first-page":"43","author":"Mesiar R.","year":"2011","journal-title":"Berlin"},{"key":"p_19","first-page":"1","author":"Sugeno M.","year":"2011","journal-title":"Berlin"},{"key":"p_20","doi-asserted-by":"publisher","DOI":"10.1214\/aos\/1176342363"},{"key":"p_21","doi-asserted-by":"publisher","DOI":"10.1214\/aos\/1176347752"},{"key":"p_22","doi-asserted-by":"publisher","DOI":"10.1007\/BF01753431"},{"issue":"1","key":"p_23","first-page":"1250","volume":"24","author":"Kadane J.","year":"1996","journal-title":"Ann. 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