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连续锥拟凹向量函数最优化问题的弱有效解集的连通性
Connectedness of cone-weakly efficient solution sets of multi-objective optimization problem for continuous and quasiconcave functions
【摘要】 在n维欧几里德空间Rn 中 ,Warburton证明了多目标函数满足连续、拟凹的条件下 ,弱有效解集是连通的 .把拟凹推广到锥拟凹 ,证明了锥弱有效解集仍是连通的 .
【Abstract】 In the n-dimensional Eucliean space R+n,Warburton proved the connectedness of the weak efficient solution set under the condition that the objective function is continuous quasiconcave.The quasiconcave was extended to the cone-quasiconcave,and the cone weak efficient solution set was still connected.
【关键词】 弱有效解集;
连续;
锥拟凹;
上半连续;
连通性;
【Key words】 weakly efficient solution sets; continuous; cone-quasiconcavity; connectedness;
【Key words】 weakly efficient solution sets; continuous; cone-quasiconcavity; connectedness;
- 【文献出处】 浙江师范大学学报(自然科学版) ,Journal of Zhejiang Normal University(Natoral Sciences) , 编辑部邮箱 ,2002年02期
- 【分类号】O221.6
- 【下载频次】12