多目标规划强较多有效解和弱较多有效解的标量化和对偶性  

Scalarization and scalar duality for strongly major-efficient solutions and weakly major-efficient solutions of multiobjective programming

作　　者：周轩伟[1] 

机构地区：[1]温州大学数学与信息科学学院,浙江温州325035

出　　处：《高校应用数学学报（A辑）》2008年第3期363-372,共10页Applied Mathematics A Journal of Chinese Universities(Ser.A)

基　　金：国家自然科学基金(70071026)

摘　　要：利用n维Euclid空间中较多锥的闭包,定义了多目标规划强较多有效解.利用较多锥闭包的Minkowski泛函,给出了强较多有效解和弱较多有效解的标量化结果,并讨论了强较多有效解和弱较多有效解的标量对偶问题及其应用.The strongly major-efficient solutions of multiobjective programming are defined by using the closure of major-cone in the n-dimensional Euclid space.Then,on the basis of the Minkowski functional of closure of a major cone,the scalarization results for strongly major-efficient solutions and weakly major-efficient solutions are given,and the scalar duality and its applications for strongly major-efficient solutions and weakly major-efficient solutions are discussed.

关 键 词：多目标规划 强较多有效解 弱较多有效解 标量化 

分 类 号：O221.6[理学—运筹学与控制论]