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1、VectorOptimizationSeriesEditor:JohannesJahnUniversityofErlangen-N¨urnbergDepartmentofMathematicsMartensstr.381058ErlangenGermanyjahn@am.uni-erlangen.deForfurthervolumes:http://www.springer.com/series/8175VectorOptimizationTheseriesinVectorOptimizationcontainspublicationsinvariou
2、sfieldsofoptimizationwithvector-valuedobjectivefunctions,suchasmultiobjectiveoptimization,multicriteriadecisionmaking,setoptimization,vector-valuedgametheoryandborderareastofinancialmathematics,biosystems,semidefiniteprogrammingandmultiobjectivecontroltheory.Studiesofcontinuous,dis
3、crete,combinatorialandstochasticmultiobjectivemodelsininterestingfieldsofoperationsresearcharealsoincluded.Theseriescoversmathematicaltheory,methodsandapplicationsineconomicsandengineering.ThesepublicationsbeingwritteninEnglishareprimarilymonographsandmultipleauthorworkscontainin
4、gcurrentadvancesinthesefields.QamrulHasanAnsariJen-ChihYaoEditorsRecentDevelopmentsinVectorOptimization123EditorsQamrulHasanAnsariJen-ChihYaoDepartmentofMathematicsCenterforGeneralEducationAligarhMuslimUniversityKaohsiungMedicalUniversityAligarh202002,IndiaKaohsiung80708,Taiwan,R
5、OCqhansari@gmail.comyaojc@cc.kmu.edu.twISSN1867-8971e-ISSN1867-898XISBN978-3-642-21113-3e-ISBN978-3-642-21114-0DOI10.1007/978-3-642-21114-0SpringerHeidelbergDordrechtLondonNewYorkLibraryofCongressControlNumber:2011936023cSpringer-VerlagBerlinHeidelberg2012Thisworkissubjecttocop
6、yright.Allrightsarereserved,whetherthewholeorpartofthematerialisconcerned,specificallytherightsoftranslation,reprinting,reuseofillustrations,recitation,broadcasting,reproductiononmicrofilmorinanyotherway,andstorageindatabanks.Duplicationofthispublicationorpartsthereofispermittedon
7、lyundertheprovisionsoftheGermanCopyrightLawofSeptember9,1965,initscurrentversion,andpermissionforusemustalwaysbeobtainedfromSpringer.ViolationsareliabletoprosecutionundertheGermanCopyrightLaw.Theuseofgeneraldescriptivenames,registerednames,trademarks,etc.inthispublicationdoesnot
8、imply,evenintheabsenceofaspecificstatement,thats