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Utilizing the necessary optimality conditions, we formulate the parametric dual model and establish some duality results in the framework of generalized<mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"M3\"><mml:mo stretchy=\"false\">(<\/mml:mo><mml:mi>\u2131<\/mml:mi><mml:mo>,<\/mml:mo><mml:mi>b<\/mml:mi><mml:mo>,<\/mml:mo><mml:mi>\u03d5<\/mml:mi><mml:mo>,<\/mml:mo><mml:mi>\u03c1<\/mml:mi><mml:mo>,<\/mml:mo><mml:mi>\u03b8<\/mml:mi><mml:mo stretchy=\"false\">)<\/mml:mo><\/mml:math>-univex functions.<\/jats:p>","DOI":"10.1155\/2013\/284046","type":"journal-article","created":{"date-parts":[[2013,11,20]],"date-time":"2013-11-20T16:46:46Z","timestamp":1384966006000},"page":"1-10","source":"Crossref","is-referenced-by-count":2,"title":["Optimality and Duality for Multiobjective Fractional Programming Involving Nonsmooth Generalized<mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"M1\"><mml:mo stretchy=\"false\">(<\/mml:mo><mml:mi>\u2131<\/mml:mi><mml:mo>,<\/mml:mo><mml:mi>b<\/mml:mi><mml:mo>,<\/mml:mo><mml:mi>\u03d5<\/mml:mi><mml:mo>,<\/mml:mo><mml:mi>\u03c1<\/mml:mi><mml:mo>,<\/mml:mo><mml:mi>\u03b8<\/mml:mi><mml:mo stretchy=\"false\">)<\/mml:mo><\/mml:math>-Univex Functions"],"prefix":"10.1155","volume":"2013","author":[{"given":"Jen-Chwan","family":"Liu","sequence":"first","affiliation":[{"name":"Department of Mathematics and Science, National Taiwan Normal University, Linkou Campus, Renai Road, Section 1, Linkou Shiang, Taipei 24499, Taiwan"}]},{"given":"Chun-Yu","family":"Liu","sequence":"additional","affiliation":[{"name":"Department of Mathematics, National Central University, Zhongli, Taoyuan, Taiwan"}]}],"member":"311","reference":[{"key":"3","doi-asserted-by":"publisher","DOI":"10.1016\/0022-247X(68)90201-1"},{"key":"1","first-page":"153","volume":"31","year":"1994","journal-title":"Optimization"},{"key":"4","doi-asserted-by":"publisher","DOI":"10.1007\/s12190-009-0345-3"},{"key":"6","doi-asserted-by":"publisher","DOI":"10.1016\/j.na.2011.12.013"},{"key":"7","doi-asserted-by":"publisher","DOI":"10.1080\/02331939608844194"},{"key":"8","doi-asserted-by":"publisher","DOI":"10.1080\/02331939608844188"},{"key":"9","doi-asserted-by":"publisher","DOI":"10.1016\/j.jmaa.2006.12.084"},{"key":"10","doi-asserted-by":"publisher","DOI":"10.1016\/0022-247X(92)90303-U"},{"key":"11","doi-asserted-by":"publisher","DOI":"10.1006\/jmaa.1994.1006"},{"key":"12","doi-asserted-by":"publisher","DOI":"10.1016\/j.mcm.2011.02.039"},{"key":"13","doi-asserted-by":"publisher","DOI":"10.2298\/YJOR0901041P"},{"key":"14","doi-asserted-by":"publisher","DOI":"10.1016\/j.amc.2012.12.087"},{"key":"17","doi-asserted-by":"publisher","DOI":"10.1155\/IJMMS.2005.949"},{"key":"15","doi-asserted-by":"publisher","DOI":"10.1016\/0304-4068(82)90026-X"},{"key":"16","doi-asserted-by":"publisher","DOI":"10.1287\/moor.8.2.231"},{"key":"18","doi-asserted-by":"publisher","DOI":"10.1155\/IJMMS.2005.1253"},{"key":"19","doi-asserted-by":"publisher","DOI":"10.1155\/IJMMS.2005.1601"},{"year":"1983","key":"2"},{"key":"20","doi-asserted-by":"publisher","DOI":"10.1080\/09720502.2010.10700708"},{"key":"21","doi-asserted-by":"publisher","DOI":"10.1080\/09720502.2010.10700709"},{"key":"5","doi-asserted-by":"publisher","DOI":"10.1007\/BF01588951"}],"container-title":["International Journal of Mathematics and Mathematical Sciences"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/downloads.hindawi.com\/journals\/ijmms\/2013\/284046.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/ijmms\/2013\/284046.xml","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/ijmms\/2013\/284046.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2016,7,30]],"date-time":"2016-07-30T08:36:00Z","timestamp":1469867760000},"score":1,"resource":{"primary":{"URL":"http:\/\/www.hindawi.com\/journals\/ijmms\/2013\/284046\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2013]]},"references-count":21,"alternative-id":["284046","284046"],"URL":"https:\/\/doi.org\/10.1155\/2013\/284046","relation":{},"ISSN":["0161-1712","1687-0425"],"issn-type":[{"type":"print","value":"0161-1712"},{"type":"electronic","value":"1687-0425"}],"subject":[],"published":{"date-parts":[[2013]]}}}