{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,31]],"date-time":"2026-03-31T18:28:48Z","timestamp":1774981728781,"version":"3.50.1"},"reference-count":37,"publisher":"Institute of Electrical and Electronics Engineers (IEEE)","issue":"6","license":[{"start":{"date-parts":[[2015,12,1]],"date-time":"2015-12-01T00:00:00Z","timestamp":1448928000000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/ieeexplore.ieee.org\/Xplorehelp\/downloads\/license-information\/IEEE.html"}],"funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["71371027"],"award-info":[{"award-number":["71371027"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["91224001"],"award-info":[{"award-number":["91224001"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100014219","name":"National Science Fund for Distinguished Young Scholars","doi-asserted-by":"crossref","award":["71025005"],"award-info":[{"award-number":["71025005"]}],"id":[{"id":"10.13039\/501100014219","id-type":"DOI","asserted-by":"crossref"}]},{"DOI":"10.13039\/501100005090","name":"Beijing Nova Program","doi-asserted-by":"crossref","award":["Z14111000180000"],"award-info":[{"award-number":["Z14111000180000"]}],"id":[{"id":"10.13039\/501100005090","id-type":"DOI","asserted-by":"crossref"}]},{"DOI":"10.13039\/501100012226","name":"Fundamental Research Funds for the Central Universities","doi-asserted-by":"crossref","award":["ZZ1316"],"award-info":[{"award-number":["ZZ1316"]}],"id":[{"id":"10.13039\/501100012226","id-type":"DOI","asserted-by":"crossref"}]},{"DOI":"10.13039\/501100005023","name":"State Key Laboratory of Rail Traffic Control and Safety","doi-asserted-by":"publisher","award":["RCS2014K011"],"award-info":[{"award-number":["RCS2014K011"]}],"id":[{"id":"10.13039\/501100005023","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["IEEE Trans. Fuzzy Syst."],"published-print":{"date-parts":[[2015,12]]},"DOI":"10.1109\/tfuzz.2015.2404340","type":"journal-article","created":{"date-parts":[[2015,2,16]],"date-time":"2015-02-16T14:40:07Z","timestamp":1424097607000},"page":"2135-2143","source":"Crossref","is-referenced-by-count":61,"title":["Skewness of Fuzzy Numbers and Its Applications in Portfolio Selection"],"prefix":"10.1109","volume":"23","author":[{"given":"Xiang","family":"Li","sequence":"first","affiliation":[]},{"given":"Sini","family":"Guo","sequence":"additional","affiliation":[]},{"given":"Lean","family":"Yu","sequence":"additional","affiliation":[]}],"member":"263","reference":[{"key":"ref33","doi-asserted-by":"publisher","DOI":"10.1016\/j.cam.2008.09.010"},{"key":"ref32","doi-asserted-by":"publisher","DOI":"10.1109\/TFUZZ.2008.924200"},{"key":"ref31","doi-asserted-by":"publisher","DOI":"10.1016\/j.ejor.2011.11.015"},{"key":"ref30","doi-asserted-by":"publisher","DOI":"10.1016\/S0165-0114(99)00026-3"},{"key":"ref37","doi-asserted-by":"crossref","DOI":"10.1007\/978-3-540-39987-2","author":"liu","year":"2004","journal-title":"Uncertainty Theory"},{"key":"ref36","doi-asserted-by":"crossref","first-page":"445","DOI":"10.1109\/TFUZZ.2002.800692","article-title":"Expected value of fuzzy variable and fuzzy expected value models","volume":"10","author":"liu","year":"2002","journal-title":"IEEE Trans Fuzzy Syst"},{"key":"ref35","author":"dubois","year":"1980","journal-title":"Fuzzy Sets and Systems Theory and Applications"},{"key":"ref34","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-642-36376-4"},{"key":"ref10","doi-asserted-by":"publisher","DOI":"10.1057\/palgrave.jors.2601765"},{"key":"ref11","doi-asserted-by":"publisher","DOI":"10.1007\/BF02408382"},{"key":"ref12","doi-asserted-by":"publisher","DOI":"10.1080\/0020772031000158492"},{"key":"ref13","doi-asserted-by":"publisher","DOI":"10.1016\/j.cor.2006.02.012"},{"key":"ref14","first-page":"13","article-title":"Mean-variance-skewness-kurtosis portfolio optimization with return and liquidity","volume":"1","author":"beardsley","year":"2012","journal-title":"Commun Math Finance"},{"key":"ref15","author":"kapur","year":"1992","journal-title":"Entropy Optimization Principles with Applications"},{"key":"ref16","doi-asserted-by":"publisher","DOI":"10.2469\/faj.v56.n2.2343"},{"key":"ref17","doi-asserted-by":"publisher","DOI":"10.1016\/S0378-4266(00)00160-6"},{"key":"ref18","doi-asserted-by":"publisher","DOI":"10.1111\/j.1540-5915.1992.tb00396.x"},{"key":"ref19","doi-asserted-by":"publisher","DOI":"10.1016\/0305-0483(95)00019-K"},{"key":"ref28","doi-asserted-by":"publisher","DOI":"10.1016\/j.ins.2012.12.011"},{"key":"ref4","doi-asserted-by":"publisher","DOI":"10.1016\/j.ejor.2009.03.009"},{"key":"ref27","doi-asserted-by":"publisher","DOI":"10.1111\/j.0391-5026.2001.00058.x"},{"key":"ref3","doi-asserted-by":"publisher","DOI":"10.1287\/mnsc.43.10.1437"},{"key":"ref6","doi-asserted-by":"publisher","DOI":"10.1016\/S0377-2217(98)00258-6"},{"key":"ref29","doi-asserted-by":"publisher","DOI":"10.1016\/j.ejor.2013.01.036"},{"key":"ref5","author":"markowitz","year":"1959","journal-title":"Portfolio Selection Efficient Diversification of Investments"},{"key":"ref8","doi-asserted-by":"publisher","DOI":"10.1016\/j.sepro.2011.10.034"},{"key":"ref7","doi-asserted-by":"publisher","DOI":"10.1016\/j.amc.2007.04.036"},{"key":"ref2","doi-asserted-by":"publisher","DOI":"10.1287\/mnsc.37.5.519"},{"key":"ref9","first-page":"107","article-title":"Linear programming model for portfolio optimization","volume":"14","author":"speranza","year":"1993","journal-title":"Finance"},{"key":"ref1","doi-asserted-by":"publisher","DOI":"10.2307\/2975974"},{"key":"ref20","doi-asserted-by":"publisher","DOI":"10.1016\/S0019-9958(65)90241-X"},{"key":"ref22","doi-asserted-by":"publisher","DOI":"10.1016\/S0165-0114(00)00043-9"},{"key":"ref21","doi-asserted-by":"publisher","DOI":"10.1016\/S0165-0114(98)00449-7"},{"key":"ref24","doi-asserted-by":"publisher","DOI":"10.1016\/j.cam.2007.06.009"},{"key":"ref23","doi-asserted-by":"publisher","DOI":"10.1007\/3-540-39205-X_66"},{"key":"ref26","doi-asserted-by":"crossref","first-page":"239","DOI":"10.1016\/j.ejor.2009.05.003","article-title":"Mean-variance-skewness model for portfolio selection with fuzzy returns","volume":"202","author":"qin","year":"2010","journal-title":"Eur J Oper Res"},{"key":"ref25","doi-asserted-by":"publisher","DOI":"10.1109\/FUZZY.1997.622817"}],"container-title":["IEEE Transactions on Fuzzy Systems"],"original-title":[],"link":[{"URL":"http:\/\/xplorestaging.ieee.org\/ielx7\/91\/7337513\/07042826.pdf?arnumber=7042826","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2022,1,12]],"date-time":"2022-01-12T11:46:53Z","timestamp":1641988013000},"score":1,"resource":{"primary":{"URL":"http:\/\/ieeexplore.ieee.org\/document\/7042826\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2015,12]]},"references-count":37,"journal-issue":{"issue":"6"},"URL":"https:\/\/doi.org\/10.1109\/tfuzz.2015.2404340","relation":{},"ISSN":["1063-6706","1941-0034"],"issn-type":[{"value":"1063-6706","type":"print"},{"value":"1941-0034","type":"electronic"}],"subject":[],"published":{"date-parts":[[2015,12]]}}}