{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,30]],"date-time":"2026-04-30T08:08:00Z","timestamp":1777536480756,"version":"3.51.4"},"reference-count":27,"publisher":"Wiley","license":[{"start":{"date-parts":[[2017,1,1]],"date-time":"2017-01-01T00:00:00Z","timestamp":1483228800000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Complexity"],"published-print":{"date-parts":[[2017]]},"abstract":"<jats:p>Fuzzy portfolio selection problem is a major issue in the financial field and a special case of constrained fuzzy-valued optimization problems (CFOPs). In this respect, the present paper aims to investigate the CFOP with regard to the features of the parametric representation of fuzzy numbers named as convex constraint function (CCF) which is proposed by Chalco-Cano et al. in 2014. Furthermore, relying on this parametric representation, some proper conditions are provided for the existence of solutions to a CFOP. To this end, by the increasing representation of CCF, the main problem is converted to a parametric multiobjective programming problem and some solution concepts from a similar framework in the multiobjective programming are proposed for the CFOP. Eventually to illustrate the proposed results, the fuzzy portfolio selection problem is discussed.<\/jats:p>","DOI":"10.1155\/2017\/9317924","type":"journal-article","created":{"date-parts":[[2017,9,14]],"date-time":"2017-09-14T17:02:30Z","timestamp":1505408550000},"page":"1-12","source":"Crossref","is-referenced-by-count":7,"title":["On Fuzzy Portfolio Selection Problems: A Parametric Representation Approach"],"prefix":"10.1155","volume":"2017","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-1105-9676","authenticated-orcid":true,"given":"Omid","family":"Solaymani Fard","sequence":"first","affiliation":[{"name":"Department of Applied Mathematics, School of Mathematics and Computer Science, Damghan University, Damghan, Iran"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Mohadeseh","family":"Ramezanzadeh","sequence":"additional","affiliation":[{"name":"Department of Applied Mathematics, School of Mathematics and Computer Science, Damghan University, Damghan, Iran"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"311","reference":[{"key":"19","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-642-24905-1"},{"key":"22","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-540-89915-0"},{"key":"27","doi-asserted-by":"publisher","DOI":"10.1016\/S0019-9958(65)90241-X"},{"issue":"1","key":"11","first-page":"1","volume":"1","year":"2016","journal-title":"MJ Journal on Financial Mathematics"},{"key":"10","doi-asserted-by":"publisher","DOI":"10.4018\/978-1-5225-0983-7.ch036"},{"key":"25","doi-asserted-by":"publisher","DOI":"10.1155\/2015\/569248"},{"key":"26","doi-asserted-by":"publisher","DOI":"10.1023\/A:1020907229361"},{"key":"1","doi-asserted-by":"publisher","DOI":"10.1007\/s00500-015-1707-4"},{"key":"2","doi-asserted-by":"publisher","DOI":"10.1155\/2015\/835891"},{"key":"3","doi-asserted-by":"publisher","DOI":"10.1007\/s00521-015-2110-x"},{"key":"4","doi-asserted-by":"publisher","DOI":"10.1007\/s00500-016-2262-3"},{"key":"24","doi-asserted-by":"publisher","DOI":"10.1007\/s10598-017-9364-3"},{"key":"28","doi-asserted-by":"publisher","DOI":"10.1007\/s10700-017-9266-z"},{"key":"9","doi-asserted-by":"publisher","DOI":"10.1016\/j.fss.2014.06.017"},{"key":"13","doi-asserted-by":"publisher","DOI":"10.1016\/S0165-0114(97)00140-1"},{"key":"23","doi-asserted-by":"publisher","DOI":"10.1016\/j.fss.2006.02.002"},{"key":"6","doi-asserted-by":"publisher","DOI":"10.1016\/j.fss.2004.08.001"},{"issue":"5","key":"5","first-page":"139","volume":"12","year":"2015","journal-title":"Iranian Journal of Fuzzy Systems"},{"key":"17","doi-asserted-by":"publisher","DOI":"10.1016\/j.fss.2015.11.022"},{"issue":"3","key":"18","doi-asserted-by":"crossref","first-page":"283","DOI":"10.22436\/jmcs.04.03.01","volume":"4","year":"2012","journal-title":"The Journal of Mathematics and Computer Science"},{"key":"20","doi-asserted-by":"publisher","DOI":"10.1016\/S0165-0114(85)80013-0"},{"key":"7","doi-asserted-by":"publisher","DOI":"10.1016\/j.fss.2012.10.003"},{"key":"15","doi-asserted-by":"publisher","DOI":"10.1007\/s40815-016-0165-1"},{"key":"8","doi-asserted-by":"publisher","DOI":"10.1007\/s00186-012-0399-0"},{"key":"14","doi-asserted-by":"publisher","DOI":"10.1016\/j.fss.2008.11.010"},{"key":"21","doi-asserted-by":"publisher","DOI":"10.1023\/A:1020920706534"},{"issue":"1","key":"16","first-page":"77","volume":"7","year":"1952","journal-title":"The Journal of Finance"}],"container-title":["Complexity"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/downloads.hindawi.com\/journals\/complexity\/2017\/9317924.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/complexity\/2017\/9317924.xml","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/complexity\/2017\/9317924.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,10,3]],"date-time":"2019-10-03T09:57:52Z","timestamp":1570096672000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.hindawi.com\/journals\/complexity\/2017\/9317924\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2017]]},"references-count":27,"alternative-id":["9317924","9317924"],"URL":"https:\/\/doi.org\/10.1155\/2017\/9317924","relation":{},"ISSN":["1076-2787","1099-0526"],"issn-type":[{"value":"1076-2787","type":"print"},{"value":"1099-0526","type":"electronic"}],"subject":[],"published":{"date-parts":[[2017]]}}}