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| B-(p,r)-预不变凸规划的Mond-Weir对偶问题研究 | |
| 引用本文： | 万轩,彭再云 .B-(p,r)-预不变凸规划的Mond-Weir对偶问题研究[J].重庆师范大学学报(自然科学版),2011,28(1):1-6. |
| 作者姓名： | 万轩 彭再云 |
| 作者单位： | 万轩,WAN Xuan(重庆师范大学,数学学院,重庆,401311;重庆交通大学,理学院,重庆,400074);彭再云,PENG Zai-yun(重庆交通大学,理学院,重庆,400074) |
| 基金项目： | 重庆市科委研究项目，重庆市教委资助课题，重庆市高等教育教学改革资助项目 |
| 摘 要： | B-(p,r)-预不变凸函数是一类新的广义凸函数,它是B-(p,r)-不变凸函数的推广,本文对其性质及B-(p,r)-预不变凸多目标规划问题的Mond-Weir型对偶进行了研究.首先,给出了B-(p,r)-预不变凸函数的几个基本性质,表明B-(p,r)-预不变凸函数仍然满足加法,数乘和复合函数运算性质,并举例说明了B-... |
| 关 键 词： | B-(p r)-预不变凸函数 多目标规划 Mond-Weir型对偶 |
The Research of Mond-weir Duality for Programming with B-(p,r)-pre-invexity Function |
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| WANG Xuan,PENG Zai-yun .The Research of Mond-weir Duality for Programming with B-(p,r)-pre-invexity Function [J].Journal of Chongqing Normal University:Natural Science Edition,2011,28(1):1-6. |
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| Authors: | WANG Xuan PENG Zai-yun |
| Institution: | WAN Xuan1,PENG Zai-yun2(1.School of Mathematics Science,Chongqing Nornal University,Chongqing 400047,2.School of Science,Chongqing Jiaotong University,Chongqing 400074,China) |
| Abstract: | B-(p,r)-pre-invex function is a new generalized convex function and it's a generalization of B-(p,r)-invex functions.In this paper,the property of the B-(p,r)-pre-invex function and its Mond-weir duality of the multi-objective programming problems are considered.First,some basic properties of the B-(p,r)-pre-invex function are introduced to show that the properties of addition,multiplication and composition to the B-(p,r)-pre-invex function are still satisfying,meanwhile,some examples are given to illustrat... |
| Keywords: | B-(p r)-pre-invex function multiobjective programming Mond-Weir duality |
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