| STABILITY OF MAJORLY EFFICIENT POINTS AND SOLUTIONS IN MULTIOBJECTIVE PROGRAMMING |
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| 作者姓名： | GU GUOHUA AND HU YUDA |
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| 作者单位： | GU GUOHUA AND HU YUDA (Department of Mathematics and Mechanics，Southeast University，Naming 210096).(Department of Applied Mathematics，Shanghai Jiaotong University，Shanghai 200030). |
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| 摘 要： | ＳＴＡＢＩＬＩＴＹＯＦＭＡＪＯＲＬＹＥＦＦＩＣＩＥＮＴＰＯＩＮＴＳＡＮＤＳＯＬＵＴＩＯＮＳＩＮＭＵＬＴＩＯＢＪＥＣＴＩＶＥＰＲＯＧＲＡＭＭＩＮＧＧＵＧＵＯＨＵＡＡＮＤＨＵＹＵＤＡ（ＤｅｐａｒｔｍｅｎｔｏｆＭａｔｈｅｍａｔｉｃｓａｎｄＭｅｃｈａｎｉｃｓ...
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| 收稿时间： | 26 April 1993 |
| 修稿时间： | 5 November 1993 |
Stability of majorly efficient points and solutions in multiobjective programming |
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| GU GUOHUA AND HU YUDA.Stability of majorly efficient points and solutions in multiobjective programming[J].Applied Mathematics A Journal of Chinese Universities,1995,10(3):313-324. |
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| Authors: | Gu Guohua Hu Yuda |
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| Institution: | (1) Department of Mathematics and Mechanics, Southeast University, 210096 Nanjing;(2) Department of Applied Mathematics, Shanghai Jiaotong University, 200030 Shanghai |
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| Abstract: | In this paper, we obtain some other properties of the majorly efficient points and solutions of the multiobjective optimization presellted in two previous papers of Hu. By decomposing the major cone, which is non-pointed, non-convex and non-closed into a finite union of disjoint strictly supported pointed convex cones, we discuss the continuous perturbations of the decision space. Several sufficient conditions for the continuity of the sets of majorly efficiellt points and solutions are given. |
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| Keywords: | Multiobjective optimization stability point-to-set map upper(lower) semicontinuity |
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