| MAJOR－EFFICIENT SOLUTIONS AND WEAKLY MAJOR－EFFICIENT SOLUTIONS OF MULTIOBJECTIVE PROGRAMMING |
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| 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 |
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| 作者姓名： | HU YUDA(Dept.of Appl.Math. Shanghai Jiao Tony Univ. Shanghai 200030) |
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| 作者单位： | Dept.of Appl.Math.，Shanghai Jiao Tony Univ.，Shanghai 200030 |
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| 摘 要： | ＭＡＪＯＲ－ＥＦＦＩＣＩＥＮＴＳＯＬＵＴＩＯＮＳＡＮＤＷＥＡＫＬＹＭＡＪＯＲ－ＥＦＦＩＣＩＥＮＴＳＯＬＵＴＩＯＮＳＯＦＭＵＬＴＩＯＢＪＥＣＴＩＶＥＰＲＯＧＲＡＭＭＩＮＧ￥ＨＵＹＵＤＡ（Ｄｅｐｔ．ｏｆＡｐｐｌ．Ｍａｔｈ．，ＳｈａｎｇｈａｉＪｉａｏＴｏｎ...
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| 收稿时间： | 1992-03-24 |
Major-efficient solutions and weakly major-efficient solutions of multiobjective programming |
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| 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 |
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| Authors: | Hu Yuda |
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| Affiliation: | (1) Dept. of Appl. Math., Shanghai Jiao Tong Univ., 200030 Shanghai |
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| 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. |
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| Keywords: | Multiobjective Programming Pareto Efficient Solution Major-EfficientSolution Weakly Major-Efficient Solution. |
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