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锥下界与锥最大下界 被引量:5

锥下界与锥最大下界
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摘要 讨论了锥下界和锥最大下界的若干重要性质 ,并给出了相应的证明。 In this paper, some important properties of cone lower bound and the greatest cone lower bound are introduced, the corresponding proofs are presented.
作者 姚永芳 邓燕
机构地区 嘉兴学院
出处 《嘉兴学院学报》 2001年第6期70-72,共3页 Journal of Jiaxing University
关键词 锥下界 锥最大下降 闭集 集合 多目标最优化 cone lower bound the greatest cone lower bound closed sets
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参考文献2

  • 1LUC. D. T. . Connectedness of the Efficient Point Sets in Quasiconcave Vector Maximization[J]. Journal of Mathematical Analysis and Applications, Vol. 112. pp. 346-354, 1987.
  • 2HU. Y. D. , SUN. E.J.. Connectedness of the Efficient Set in Strictly Quasiconcave Vector Maximization[J]. Journal of Optimization Theory and Applications, vol. 78, pp. 613-622. 1993.

同被引文献14

  • 1胡毓达,胡一凡.锥拟凸与拓扑向量空间多目标最优化有效解集和弱有效解集的连通性[J].应用数学学报,1989,12(1):115-123. 被引量:21
  • 2博万涛,周昆平.无限维空间拟凸映射多目标最优化问题解集的连通性[J].应用数学学报,1997,20(1):137-145. 被引量:11
  • 3Naccache. P. H.. Connectedness of the Set of Nondominated Outcomes in Multicriteria Optimization, Journal of Optimization Theory and Applications, 1978,25: 459~467.
  • 4Hu Y. D. and Sun E. J.. Connectedness of the Efficient Set in Strictly Quasiconcave Vector Maximization, Journal of Optimization Theory and Applications, 1992,78 : 613~ 622.
  • 5Luc. D. T.. Connectedness of the Efficient Point Sets in Quasiconcave Vecton Maximization, Journal of Mathmatical Analysis and Applications, 1987,122 .. 346~354.
  • 6Warburton A R.Quasiconcave vector maximization connectedness of the sets of pareto-optimal and weak pareto optimal alternatives[J]. Journal of Optimization Theory and Applications198340:537-557.
  • 7Naccache P H.Connectedness of the set of nondominated outcomes in multicriteria optimization[J].Journal of Optimization Theory and Applications197825:459-467.
  • 8Hu Y DSun E J.Connectedness of the efficient set in strictly quasiconcave vector maximization[J]. Journal of Optimization Theory and Applications199378: 613-622.
  • 9Luc D T.Connectedness of the efficient point sets in quasiconcave vector maximization[J]. Journal of Optimization Theory and Applications1987122:346-357.
  • 10胡毓达,孟志青.凸分析与非光滑分析[M]上海科学技术出版社,2000.

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