Some Properties of αk-Major Efficient Sets in Multi-Objective Programming

李杉林

您当前的位置：

首页 >

文章列表页 >

Some Properties of αk-Major Efficient Sets in Multi-Objective Programming

更新时间：2026-09-14

- Some Properties of αk-Major Efficient Sets in Multi-Objective Programming
- 多目标规划的αk-较多有效集的性质探讨
- Issue 4, Pages: 297-300(2008)
- 作者机构：
  
  台州学院数学系,浙江,台州,317000
- 作者简介：
- 基金信息：
- DOI：
  CLC：
- Published：2008
- 稿件说明：
移动端阅览
李杉林. Some Properties of αk-Major Efficient Sets in Multi-Objective Programming[J]. 2008, (4): 297-300.
DOI：

李杉林. Some Properties of αk-Major Efficient Sets in Multi-Objective Programming[J]. 2008, (4): 297-300. DOI：

摘要

给出了多目标最优化中αk-较多有效集的一种新的表示方法.即把一个目标集合的αk-较多有效集表示看成了该集合与另一个集合之差

其中后者是目标集与控制结构的和.利用这种新的表示方法

得到了几个αk-较多有效集的新性质.

Abstract

In multi-objective optimization

a new representation of αk-major efficient set for an objective set was presented which was described as the difference between the set and another set.The latter set was the sum of the objective set and control structure.By the new idea some new properties of αk-major efficient sets were obtained.

关键词

Keywords

references

Kuhn H W,Tucker A W.Nonlinear Programming,Proceedings of the Second Berkeley Symposium on MathematicalStatistics and Probability[M].California:University of California Press,1950.

Geoffrion A M.Proper efficiency and the theory of vector maximization[J].Journal of Mathematical Analysis andApplications.1968,22:618-630.

Borwein J.Proper efficient points for maximization with respect to cones[J].SIAM Journal of Control andOptimization,1977,15(1):57-63.

Benson H P.An improved definition of proper efficiency for vector maximization with respect to cones[J].Journal ofMathematical Analysis and Applications,1979,71(1):232-241.

Henig M L.Proper efficiency with respect to cones[J].Journal of Optimization Theory and Applications,1982,36(3):337-347.

胡毓达.向量空间的较多序类[J].数学年刊,1990,11-A(3):269-280.Hu Yuda.Major orders in vector space[J].Chinese Annals of Mathematics,Series A,1990,11(3):269-280.(inChinese).

胡毓达.多目标规划有效性理论[M].上海:上海科学技术出版社,1994.

胡毓达.Pareto有效解与较多有效解类[J].科学通报,1993,38(7):1551-1553.Hu Yuda.The classes of pareto efficient solutions and major efficient solutions[J].Chinese Science Bulletin,1993,38(17):1551-1553.(in Chinese).

胡毓达,程艳伟.多目标规划αk-较多有效解的必要条件[J].贵州大学学报,1996,13(1):1-4.Hu Yuda,Cheng Yanwei.The necessary conditions ofαk-major efficient solutions[J].Journal of GuizhouUniversity,1996,13(1):1-4.(in Chinese).

杨万铨,余览媚.多目标规划αk-较多有效性[J].应用数学与计算数学学报,2002,16(1):72-78.Yang Wanquan,Yu lanmei.αk-major efficiency of multiobjective programming[J].Communication on AppliedMathematics and Computation,2002,16(1):72-78.(in Chinese).

杨万铨.多目标规划的αk-较多有效解的几何特性[J].高等学校计算数学学报,2003,25(4):378-384.Yang Wanquan.Geometric characterization ofαk-major efficient solutions[J].Numerical Mathematics A Journal ofChinese Universities,2003,25(4):378-384.(in Chinese).

Views

下载量

CSCD

Alert me when the article has been cited

提交

Tools

Publicity Resources

Hybrid Pareto-Based Particle Swarm Optimization for Multi-Objective Flexible Job Shop Scheduling Problem

Research Progress on Machine Learning⁃Based Structural Design and Performance Characterization of Composites

Configuration Design and Research of a Hybrid Quadruped Perilla Sowing Robot

Study on the Ultrasonic Adsorption of Cr（Ⅵ） in Water by Tea Biochar Magnetic Materials

Research Progress on Single⁃Photon Detection for Quantum Information About Mechanisms，Devices and Circuit Design

Related Author

刘丽琴

张学良

谢黎明

温淑花

Related Institution

兰州理工大学机电工程学院

太原科技大学机械工程学院

⁰