{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,6,19]],"date-time":"2025-06-19T10:05:12Z","timestamp":1750327512354},"reference-count":13,"publisher":"World Scientific Pub Co Pte Lt","issue":"01","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Unc. Fuzz. Knowl. Based Syst."],"published-print":{"date-parts":[[2016,2]]},"abstract":"<jats:p> This paper propose a Berwald type inequality and a Favard type inequality for Sugeno integrals. That is, we first show that [Formula: see text] holds for some constant [Formula: see text] where f is a monotone and concave function on [0, 1] and [Formula: see text] is the Lebesgue measure on [Formula: see text]. If q = 1, then as a special case of the Berwald type inequality, we show that the following Favard type inequality holds for Sugeno integrals [Formula: see text] A deeper discussion for Favard type inequality for Sugeno integrals using Berwald type inequality is also considered. Some examples are provided to illustrate the optimality of the proposed inequality. <\/jats:p>","DOI":"10.1142\/s0218488516500033","type":"journal-article","created":{"date-parts":[[2016,3,9]],"date-time":"2016-03-09T06:17:16Z","timestamp":1457504236000},"page":"47-58","source":"Crossref","is-referenced-by-count":6,"title":["Berwald and Favard Type Inequalities for Fuzzy Integrals"],"prefix":"10.1142","volume":"24","author":[{"given":"Dug Hun","family":"Hong","sequence":"first","affiliation":[{"name":"Department of Mathematics, Myongji University, Kyunggi 449-728, South Korea"}]}],"member":"219","published-online":{"date-parts":[[2016,3,8]]},"reference":[{"key":"p_1","doi-asserted-by":"publisher","DOI":"10.1016\/j.amc.2010.10.027"},{"key":"p_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.fss.2009.10.007"},{"key":"p_3","doi-asserted-by":"publisher","DOI":"10.1016\/j.ins.2011.10.016"},{"key":"p_4","doi-asserted-by":"publisher","DOI":"10.1016\/j.amc.2009.08.006"},{"key":"p_6","first-page":"54","volume":"57","author":"Favard J.","year":"1933","journal-title":"Bull. Sci. Math."},{"key":"p_7","doi-asserted-by":"publisher","DOI":"10.1016\/j.amc.2007.02.143"},{"key":"p_8","doi-asserted-by":"publisher","DOI":"10.1016\/j.amc.2007.05.032"},{"key":"p_9","doi-asserted-by":"publisher","DOI":"10.1016\/j.amc.2010.05.071"},{"key":"p_10","first-page":"7296","volume":"74","author":"Hong D. H.","year":"2011","journal-title":"Methods and Applications"},{"key":"p_11","first-page":"367","volume":"56","author":"Ouyang Y.","year":"2008","journal-title":"Appl. Math. Appl."},{"key":"p_12","doi-asserted-by":"publisher","DOI":"10.1016\/j.ijar.2008.01.004"},{"key":"p_14","doi-asserted-by":"publisher","DOI":"10.1016\/0022-247X(80)90101-8"},{"key":"p_15","doi-asserted-by":"publisher","DOI":"10.1016\/j.amc.2008.06.027"}],"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\/S0218488516500033","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,8,6]],"date-time":"2019-08-06T22:12:40Z","timestamp":1565129560000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S0218488516500033"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2016,2]]},"references-count":13,"journal-issue":{"issue":"01","published-online":{"date-parts":[[2016,3,8]]},"published-print":{"date-parts":[[2016,2]]}},"alternative-id":["10.1142\/S0218488516500033"],"URL":"https:\/\/doi.org\/10.1142\/s0218488516500033","relation":{},"ISSN":["0218-4885","1793-6411"],"issn-type":[{"value":"0218-4885","type":"print"},{"value":"1793-6411","type":"electronic"}],"subject":[],"published":{"date-parts":[[2016,2]]}}}