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多目标规划问题Borwein真有效解集的连通性

多目标规划问题Borwein真有效解集的连通性
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摘要 该文讨论了连续、锥连续锥凸向量函数最小化问题中 In this paper, the connectedness of Borwein proper efficient solution sets for the minimization of continuous cone is discussed. cone continuous cone convex function is discussed.
作者 姚永芳
出处 《嘉兴学院学报》 2002年第3期72-75,共4页 Journal of Jiaxing University
关键词 多目标规划 连通性 锥凸 Borwein真有效解 multiobjective programming connectedness cone convex Borwein proper efficient solution.
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参考文献5

  • 1BORWEIN. J. M.. Proper Efficient Points for Maximization with Respect to Cones[J]. SIAM Journal on Control and Optimization, 1997,15 .. 57 ~ 62.
  • 2LUC. D. T.. Connectedness of the Efficient Point Sets in Quasiconcave Vector Maximization[J]. Journal of Mathematical Analysis and Applications,1987,112(15):346~353.
  • 3WARBURTON. A. R.. Q uasiconcave Vector Maximization Connectedness of the Sets of Pareto-Optimal and Weak Pareto-Optimal Alternatives[J]. Journal of Optimization Theory and Applications, 1983,40(4):537~557.
  • 4马达才,戴正德.严有效解集的连通性[J].山西大学学报(自然科学版),1998,21(2):119-132. 被引量:1
  • 5邓燕.锥连续函数及其性质[J].嘉兴学院学报,2001,13(6):68-69. 被引量:4

二级参考文献5

  • 1NACCACHE. P. H.. Connectedness of the Set of Nondominated Outcomes in Multicriteria Optimization[J]. Journal of Optimization Theory and Applications, Vol. 25, pp. 459-467, 1978.
  • 2WARBURTON. A. R.. Quasiconcave Vector Maximization Connectedness of the Sets of Pareto - Optimal and Weak Pareto- Optimal Alternatives[J]. Journal of Optimization Theory and Applications, Vol. 40, pp. 537-557, 1983.
  • 3CHOO. E. U. , SCHAIBLE. S.. CHEW. K. P.. Connectedness of the Efficient Set in Three-Criteria Quasicoucave Programming[M]. Cahiers du Centre d′Etudes de Recherche Operationnelle, Vol. 27. pp. 213-220, 1985.
  • 4LUC. 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.
  • 5HU. Y. D.. SUN. E. J.. Connectedness of the Efficient Set in Strictly Quasiconcave Vector Maximization[J]. Jourual of Optimizatinn Theory and Applications. Vol. 78. pp. 613 - 621. 1993.

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