| 在pseudo-invexity条件下的一个分式规划问题的对偶性 |
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| 引用本文： | 姜今锡,金爱莲,金光植. 在pseudo-invexity条件下的一个分式规划问题的对偶性[J]. 数学的实践与认识, 2007, 37(12): 166-172 |
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| 作者姓名： | 姜今锡 金爱莲 金光植 |
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| 作者单位： | 1. 延边大学,理学院数学系,吉林,延吉,133002
2. 延边大学,医学院基础部,吉林,延吉,133002 |
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| 摘 要： | 给出了一个不可微多目标分式变分问题,并利用有效性和真有效性概念,证明了在pseudo-invexity条件下与分式规划问题相关的弱对偶定理、强对偶定理及逆对偶定理.
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| 关 键 词： | 对偶 pseudo-invexity函数 不可微多目标变分问题 有效性 |
| 修稿时间： | 2007-02-11 |
Duality for a Fractional Programming Problem under the Pseudo-invexity Condition |
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| JIANG Jin-xi,JIN Ai-lian,JIN Guang-zhi. Duality for a Fractional Programming Problem under the Pseudo-invexity Condition[J]. Mathematics in Practice and Theory, 2007, 37(12): 166-172 |
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| Authors: | JIANG Jin-xi JIN Ai-lian JIN Guang-zhi |
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| Abstract: | We formulate a pair of nondifferentiable multiobjective fractional variational problems,and weak,strong and converse duality theorems for a fractuional programming problem are established under pseudo-invexity assumptions by using the concept of efficiency and proper efficiency.type dual problem. |
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| Keywords: | duality pseudo-invexity function nondifferentiable multiobjective variational problem efficiency |
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