{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,11]],"date-time":"2025-10-11T08:08:11Z","timestamp":1760170091495},"reference-count":0,"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":[[1997,6]]},"abstract":"<jats:p> This paper addresses some basic issues concerning set-functions which are endpoints in interval probabilities. The property of alternating of infinite order of set-functions is investigated in detail. Generalizing a result of Graf (1980), we establish a necessary and sufficient condition for the existence of the Radon-Nikodym derivatives for a larger class of set functions, called submeasures. <\/jats:p>","DOI":"10.1142\/s0218488597000269","type":"journal-article","created":{"date-parts":[[2003,10,22]],"date-time":"2003-10-22T01:39:04Z","timestamp":1066786744000},"page":"359-377","source":"Crossref","is-referenced-by-count":15,"title":["On Capacity Functionals in Interval Probabilities"],"prefix":"10.1142","volume":"05","author":[{"given":"Hung T.","family":"Nguyen","sequence":"first","affiliation":[{"name":"Department of Mathematical Sciences, New Mexico State University, Las Cruces, NM 88003, USA"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Nhu T.","family":"Nguyen","sequence":"additional","affiliation":[{"name":"Department of Mathematical Sciences, New Mexico State University, Las Cruces, NM 88003, USA"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Tonghui","family":"Wang","sequence":"additional","affiliation":[{"name":"Department of Mathematical Sciences, New Mexico State University, Las Cruces, NM 88003, USA"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"219","published-online":{"date-parts":[[2011,11,21]]},"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\/S0218488597000269","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,8,7]],"date-time":"2019-08-07T17:20:22Z","timestamp":1565198422000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S0218488597000269"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1997,6]]},"references-count":0,"journal-issue":{"issue":"03","published-online":{"date-parts":[[2011,11,21]]},"published-print":{"date-parts":[[1997,6]]}},"alternative-id":["10.1142\/S0218488597000269"],"URL":"https:\/\/doi.org\/10.1142\/s0218488597000269","relation":{},"ISSN":["0218-4885","1793-6411"],"issn-type":[{"value":"0218-4885","type":"print"},{"value":"1793-6411","type":"electronic"}],"subject":[],"published":{"date-parts":[[1997,6]]}}}