引用本文: |
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李向有,张庆祥.(h,φ)不变凸多目标半无限规划的对偶性[J].广西科学,2011,18(2):136-139. [点击复制]
- LI Xiang-you,ZHANG Qing-xiang.Duality of Multiple-objective Semi-Infinite Programming with(h,φ) Invex Function[J].Guangxi Sciences,2011,18(2):136-139. [点击复制]
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摘要: |
利用Ben-Tal广义代数运算,定义一类(h,φ)不变凸函数,在更弱的凸性下,得到此类非光滑(h,φ)多目标半无限规划的一些对偶性条件. |
关键词: (h,φ)不变凸函数 半无限规划 多目标 对偶性 广义代数运算 |
DOI: |
投稿时间:2010-11-19 |
基金项目:陕西省教育厅专项科研基金项目(06JK154);延安大学科研基金项目(YDK2004-196)资助 |
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Duality of Multiple-objective Semi-Infinite Programming with(h,φ) Invex Function |
LI Xiang-you, ZHANG Qing-xiang
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(Institute of Mathematics and Computer Science of Yan'an University, Yan'an, Shanxi, 716000, China) |
Abstract: |
Based on Ben-Tal generalized algebraic operation, a class of (h, φ)invex function was defined, multiple-objective semi-infinite programming involving this kind of function was analyzed, and some important duality conditions were obtained under weker convexity. |
Key words: (h,φ) invex function semi-infinite programming multiple-objective duality generalized algebraic operation |