{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,15]],"date-time":"2025-10-15T10:10:59Z","timestamp":1760523059114},"reference-count":12,"publisher":"World Scientific Pub Co Pte Lt","issue":"03","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Unc. Fuzz. Knowl. Based Syst."],"published-print":{"date-parts":[[2013,6]]},"abstract":"<jats:p> In classical measure theory, the Radon-Nikodym theorem states in a concise condition, namely domination, how a measure can be factorized by another (bounded) measure through a density function. Several approaches have been undertaken to see under which conditions an exact factorization can be obtained with set functions that are not \u03c3-additive (for instance finitely additive set functions or submeasures). We provide a Radon-Nikodym type theorem with respect to a measure for almost subadditive set functions with bounded disjoint variation. The necessary and sufficient condition to guarantee a superior Radon-Nikodym derivative remains the standard domination condition for measures. We show how these set functions admit an equivalent factorization under the standard domination condition for set functions. <\/jats:p>","DOI":"10.1142\/s0218488513500189","type":"journal-article","created":{"date-parts":[[2013,6,18]],"date-time":"2013-06-18T06:25:56Z","timestamp":1371536756000},"page":"347-365","source":"Crossref","is-referenced-by-count":8,"title":["A SUPER RADON-NIKODYM DERIVATIVE FOR ALMOST SUBADDITIVE SET FUNCTIONS"],"prefix":"10.1142","volume":"21","author":[{"given":"YANN","family":"R\u00c9BILL\u00c9","sequence":"first","affiliation":[{"name":"LEMNA, Institute of Economics and Management of Nantes-IAE, Universi\u00e9 de Nantes, Chemin la Censive du Tertre, BP 52231, 44322 Nantes Cedex 3, France"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"219","published-online":{"date-parts":[[2013,6,17]]},"reference":[{"key":"p_1","doi-asserted-by":"publisher","DOI":"10.2140\/pjm.1988.131.237"},{"key":"p_2","first-page":"192","volume":"320","author":"Graf S.","year":"1980","journal-title":"J. Reine Ang. Math."},{"key":"p_3","doi-asserted-by":"publisher","DOI":"10.1142\/S0218488597000269"},{"key":"p_4","doi-asserted-by":"publisher","DOI":"10.1016\/0165-0114(95)00181-6"},{"key":"p_5","doi-asserted-by":"publisher","DOI":"10.1142\/S0218488597000270"},{"key":"p_6","first-page":"489","volume":"12","author":"Mokobodzki G.","year":"1978","journal-title":"Prob. Strasbourg"},{"key":"p_8","doi-asserted-by":"publisher","DOI":"10.1016\/0304-4068(91)90002-B"},{"key":"p_9","doi-asserted-by":"publisher","DOI":"10.1016\/j.mathsocsci.2011.02.001"},{"key":"p_10","doi-asserted-by":"publisher","DOI":"10.1287\/moor.14.1.1"},{"key":"p_13","doi-asserted-by":"publisher","DOI":"10.5802\/aif.53"},{"key":"p_14","doi-asserted-by":"publisher","DOI":"10.1090\/S0002-9939-1986-0835875-8"},{"key":"p_15","doi-asserted-by":"publisher","DOI":"10.1016\/j.fss.2005.02.020"}],"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\/S0218488513500189","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,8,6]],"date-time":"2019-08-06T19:32:39Z","timestamp":1565119959000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S0218488513500189"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2013,6]]},"references-count":12,"journal-issue":{"issue":"03","published-online":{"date-parts":[[2013,6,17]]},"published-print":{"date-parts":[[2013,6]]}},"alternative-id":["10.1142\/S0218488513500189"],"URL":"https:\/\/doi.org\/10.1142\/s0218488513500189","relation":{},"ISSN":["0218-4885","1793-6411"],"issn-type":[{"value":"0218-4885","type":"print"},{"value":"1793-6411","type":"electronic"}],"subject":[],"published":{"date-parts":[[2013,6]]}}}