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MAJOR-EFFICIENT SOLUTIONS AND WEAKLY MAJOR-EFFICIENT SOLUTIONS OF MULTIOBJECTIVE PROGRAMMING
引用本文:HU YUDA(Dept.of Appl.Math.,Shanghai Jiao Tony Univ.,Shanghai 200030). MAJOR-EFFICIENT SOLUTIONS AND WEAKLY MAJOR-EFFICIENT SOLUTIONS OF MULTIOBJECTIVE PROGRAMMING[J]. 高校应用数学学报(英文版), 1994, 9(1): 85-94. DOI: 10.1007/BF02662029
作者姓名:HU YUDA(Dept.of Appl.Math.  Shanghai Jiao Tony Univ.  Shanghai 200030)
作者单位:Dept.of Appl.Math.,Shanghai Jiao Tony Univ.,Shanghai 200030
摘    要:MAJOR-EFFICIENTSOLUTIONSANDWEAKLYMAJOR-EFFICIENTSOLUTIONSOFMULTIOBJECTIVEPROGRAMMING¥HUYUDA(Dept.ofAppl.Math.,ShanghaiJiaoTon...

收稿时间:1992-03-24

Major-efficient solutions and weakly major-efficient solutions of multiobjective programming
Hu Yuda. Major-efficient solutions and weakly major-efficient solutions of multiobjective programming[J]. Applied Mathematics A Journal of Chinese Universities, 1994, 9(1): 85-94. DOI: 10.1007/BF02662029
Authors:Hu Yuda
Affiliation:(1) Dept. of Appl. Math., Shanghai Jiao Tong Univ., 200030 Shanghai
Abstract:In this papert the theory of major efficiency for multiobjective programmingis established.The major-efficient solutions and weakly major-efficient solutions of multiobjective programming given here are Pareto efficient solutions of the same multiobjectiveprogramming problem, but the converse is not true. In a ceratin sense , these solutionsare in fact better than any other Pareto efficient solutions. Some basic theorems whichcharacterize major-efficient solutions and weakly major-efficient solutions of multiobjective programming are stated and proved. Furthermore,the existence and some geometricproperties of these solutions are studied.
Keywords:Multiobjective Programming  Pareto Efficient Solution  Major-EfficientSolution  Weakly Major-Efficient Solution.
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