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拟凸映射与解集的结构

QUASICONVEXITY MAPPING AND THE STRUCTURE OF SETS OF SOLUTIONS
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摘要 本文研究了一类拟凸多目标规划,讨论了:当可行解集紧凸,而目标函数为C—连续和拟凸时,其多目标规划问题的有效解集(或弱有效解集)为连通的问题。 In this paper, a quasiconvex multiobjective optingation ate studied, further,Under the conition that the constraint set S is compact and Convex; while the objective function is C—continuous and quasiconvex, we prove connectedness resutls of the efficient solution (weakly efficient solution) Sets of multiobjective optimijation problems.
作者 周昆平
机构地区 江西大学数学系
出处 《江西大学学报(自然科学版)》 1992年第4期339-347,共9页
关键词 拟凸映射 连通 解集 最佳化 C连续 c-continuous, quasiconvex, mapping, connected
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  • 1A. R. Warburton. Quasiconcave vector maximization: Connectedness of the sets of Pareto-optimal and weak Pareto-optimal alternatives[J] 1983,Journal of Optimization Theory and Applications(4):537~557
  • 2G. R. Bitran,T. L. Magnanti. The structure of admissible points with respect to cone dominance[J] 1979,Journal of Optimization Theory and Applications(4):573~614
  • 3P. H. Naccache. Connectedness of the set of nondominated outcomes in multicriteria optimization[J] 1978,Journal of Optimization Theory and Applications(3):459~467
  • 4A. R. Warburton. Quasiconcave vector maximization: Connectedness of the sets of Pareto-optimal and weak Pareto-optimal alternatives[J] 1983,Journal of Optimization Theory and Applications(4):537~557

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