| Connectedness of G—proper Efficient Solution Set for Multiobjective Programming Problem |
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| 引用本文： | KONGXiang－qing. Connectedness of G—proper Efficient Solution Set for Multiobjective Programming Problem[J]. 系统科学与系统工程学报(英文版), 2002, 11(3): 345-349 |
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| 作者姓名： | KONGXiang－qing |
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| 作者单位： | KONG Xiang-qingJiaxing College，Jiaxing 314001，Zhejiang，China |
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| 基金项目： | This work is supported by Research Foundation of the Education Departm entof Zhejiang Province(2 0 0 10 2 80 ) |
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| 摘 要： | 1 IntroductionWe know that one of the mostimportant problems of multiobjective programming is to in-vestigate the structure of efficientsolution sets. Among the topological properties of thesesets,connectedness is of interest.In Euclidean space,many results have been obtainedabout the connectedness of efficient solution set in past.The set of efficient solution isconnected when the objective functions are strictly quasiconcave[1 ] .In general,efficientsolution set is so large for multiobjec…
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| 关 键 词： | 程序设计 有效解集 连通性 |
Connectedness of G-proper Efficient Solution Set for Multiobjective Programming Problem |
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| KONG Xiang-qing. Connectedness of G-proper Efficient Solution Set for Multiobjective Programming Problem[J]. Journal of Systems Science and Systems Engineering, 2002, 11(3): 345-349 |
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| Authors: | KONG Xiang-qing |
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| Affiliation: | Jiaxing College, Jiaxing 314001, Zhejiang , China |
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| Abstract: | In this paper, we investigate the connectedness of G-proper efficient solution set for multiobjective programming problem. It is shown that the G-proper efficient solution set is connected if objective functions are convex. A sufficient condition for the connectedness of G-proper efficient solution set is established when objective functions are strictly quasiconvex. |
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| Keywords: | multiobjective programming efficient solution set G-proper efficient solution set strictly quasiconvex function connectedness |
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