[1]孙玉华,曾庆铎,王来生.区间规划问题的Wolfe型对偶理论[J].江西师范大学学报(自然科学版),2012,(06):594-597.
ZHAO Liang,LIU Xue-wen.Wolfe Duality Theory for Interval-Valued Programming[J].Journal of Jiangxi Normal University:Natural Science Edition,2012,(06):594-597.
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区间规划问题的Wolfe型对偶理论(
)
《江西师范大学学报》（自然科学版）[ISSN:1006-6977/CN:61-1281/TN]
- 卷:
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- 期数:
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2012年06期
- 页码:
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594-597
- 栏目:
-
- 出版日期:
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2012-12-01
文章信息/Info
- Title:
-
Wolfe Duality Theory for Interval-Valued Programming
- 作者:
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孙玉华;曾庆铎;王来生
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北京科技大学数理学院, 北京 100083；中国农业大学理学院, 北京 100083
- Author(s):
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ZHAO Liang; LIU Xue-wen
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-
- 关键词:
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不确定优化; 区间规划; 对偶; ( ; )- -( ; )-p r ρ ηθ 不变凸函数
- Keywords:
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uncertain optimization; interval-valued programming; duality; ( ; )- -( ; )-p r ρ ηθ invexity functions
- 分类号:
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O224；O221.2
- 文献标志码:
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A
- 摘要:
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讨论了目标函数和约束函数是区间函数的区间规划问题.首先定义了 LU 最优解的概念,并给出了一类新的Wolfe型对偶模型,在(,)--(,)-p r ρηθ不变凸函数定义下证明了弱对偶定理、强对偶定理和逆对偶定理.
- Abstract:
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Interval-valued programming where the objective function and constrict functions are interval-valued functions is considered. The concepts of LU optimal solution to interval-valued programming problem is defined. A new type dual for interval-valued optimization problem is formulated. Under ( , )- -( , )-p r ρ ηθ invexity assumptions, weak, strong and converse duality results are proved.
更新日期/Last Update:
1900-01-01