多目标规划锥有效解的最优性条件

数学物理学报 ›› 1998, Vol. 18 ›› Issue (1): 48-55.

多目标规划锥有效解的最优性条件

王秋庭¹, 王先甲², 田益祥¹

1. 武汉治金科技大学武汉 430070;
2. 武汉水利电力大学武汉 430072

收稿日期:1995-09-01 出版日期:1998-03-26 发布日期:1998-03-26
基金资助:
冶金工业部有偿与资助项目

Optimality Conditions of Cone Efficient Solution in Multiobjective Programming

Wang Qiutiong¹, Wang Xianjia², Tian Yixiang¹

1. Wuhan Yejin University of Science and Technology;
2. Wuhan University of Hydraulic and Electric Engineering

Received:1995-09-01 Online:1998-03-26 Published:1998-03-26

摘要/Abstract

摘要： 该文提出了广义锥凸向量函数以及向量函数关于锥∧的下降、不变、非升、非降方向集等概念.在讨论它们的性质和判别条件的基础上,给出了决策可行集中的点为锥∧-有效解的一系列充分必要条件.

关键词: 多目标规划, 锥广义凸, 锥有效解

Abstract: This paper proposes the concepts of decreasing, unchanging, non-increasing and non-decreasing direction set of the generalized cone-convex function with respect to a cone ∧. Based on discussing their propertics and distinguishing their conditions, this paper gives the Sufficient and necessary conditions of which the points in feasible domain arc the cone ∧-efficient solution.

Key words: Multiobjective programming, Generalizcd cone-convex, cone-efficient solution

王秋庭, 王先甲, 田益祥. 多目标规划锥有效解的最优性条件[J]. 数学物理学报, 1998, 18(1): 48-55.

Wang Qiutiong, Wang Xianjia, Tian Yixiang. Optimality Conditions of Cone Efficient Solution in Multiobjective Programming[J]. Acta mathematica scientia,Series A, 1998, 18(1): 48-55.