{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2022,3,30]],"date-time":"2022-03-30T02:02:29Z","timestamp":1648605749066},"reference-count":15,"publisher":"World Scientific Pub Co Pte Lt","issue":"04","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Unc. Fuzz. Knowl. Based Syst."],"published-print":{"date-parts":[[2017,8]]},"abstract":"<jats:p> In this paper, we propose a concept of comonotonicity of random sets, which is a set inclusion relation and generalized notion of comonotonicity of real-valued random variables. Then we study some elementary properties of comonotonicity of random sets and comonotonic additivity of real-valued Choquet integral for random set mappings. After this, some other properties of this kind of real-valued Choquet integral for random set mappings are characterized by the comonotonic additivity, for instance, translation invariance, sup-norm continuous, positive homogeneity. <\/jats:p>","DOI":"10.1142\/s0218488517500246","type":"journal-article","created":{"date-parts":[[2017,7,14]],"date-time":"2017-07-14T04:36:10Z","timestamp":1500006970000},"page":"557-571","source":"Crossref","is-referenced-by-count":2,"title":["Comonotonic Random Sets and Its Additivity of Choquet Integrals"],"prefix":"10.1142","volume":"25","author":[{"given":"Gaofeng","family":"Zong","sequence":"first","affiliation":[{"name":"School of Mathematics and Quantitative Economics, Shandong University of Finance and Economics, Jinan 250002, China"},{"name":"Department of Mathematics, Shandong University, Jinan 250100, China"}]},{"given":"Zengjing","family":"Chen","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Shandong University, Jinan 250100, China"}]},{"given":"Faisal","family":"Shahzad","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Shandong University, Jinan 250100, China"}]}],"member":"219","published-online":{"date-parts":[[2017,7,14]]},"reference":[{"key":"p_2","doi-asserted-by":"publisher","DOI":"10.1090\/S0002-9939-1986-0835875-8"},{"key":"p_5","first-page":"46","author":"Marinacci M.","year":"2004","journal-title":"NY, USA"},{"key":"p_6","doi-asserted-by":"publisher","DOI":"10.1016\/j.jmaa.2011.07.019"},{"key":"p_7","doi-asserted-by":"publisher","DOI":"10.1016\/j.ijar.2012.08.002"},{"key":"p_8","doi-asserted-by":"publisher","DOI":"10.1016\/0022-247X(65)90049-1"},{"key":"p_9","doi-asserted-by":"publisher","DOI":"10.1016\/S0165-0114(96)00124-8"},{"key":"p_10","doi-asserted-by":"publisher","DOI":"10.1016\/S0165-0114(98)00184-5"},{"key":"p_11","doi-asserted-by":"publisher","DOI":"10.4134\/BKMS.2003.40.1.139"},{"key":"p_12","first-page":"429","volume":"16","author":"Jang L. C.","year":"2004","journal-title":"J. Appl. Math. Comput."},{"key":"p_13","doi-asserted-by":"publisher","DOI":"10.1016\/j.ins.2011.09.011"},{"key":"p_14","doi-asserted-by":"publisher","DOI":"10.1016\/j.ijar.2013.09.011"},{"key":"p_15","doi-asserted-by":"publisher","DOI":"10.1016\/S0165-0114(98)00385-6"},{"key":"p_16","doi-asserted-by":"publisher","DOI":"10.1142\/S0218488516500197"},{"key":"p_17","doi-asserted-by":"publisher","DOI":"10.1016\/0022-247X(91)90213-J"},{"key":"p_21","doi-asserted-by":"publisher","DOI":"10.1007\/BF01753431"}],"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\/S0218488517500246","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,8,6]],"date-time":"2019-08-06T15:31:40Z","timestamp":1565105500000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S0218488517500246"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2017,7,14]]},"references-count":15,"journal-issue":{"issue":"04","published-online":{"date-parts":[[2017,7,14]]},"published-print":{"date-parts":[[2017,8]]}},"alternative-id":["10.1142\/S0218488517500246"],"URL":"https:\/\/doi.org\/10.1142\/s0218488517500246","relation":{},"ISSN":["0218-4885","1793-6411"],"issn-type":[{"value":"0218-4885","type":"print"},{"value":"1793-6411","type":"electronic"}],"subject":[],"published":{"date-parts":[[2017,7,14]]}}}