多目标规划的αk-较多有效解的几何特性  

GEOMETRIC CHARACTERIZATIONS OF THE aK-MAJOR EFFICIENT SOLUTIONS OF MULTIOBJECTIVE PROGRAMMING

作　　者：杨万铨[1] 

机构地区：[1]温州大学数学与信息科学学院

出　　处：《高等学校计算数学学报》2003年第4期378-384,共7页Numerical Mathematics A Journal of Chinese Universities

基　　金：国家自然科学基金(批准号:70071026);浙江省自然科学基金(101027)

摘　　要：In this paper, with the help of properties of P-linear below bounded points, tangent cones, cone k-interior points, projective cones, the geometric char-acterizations of ακ-major efficient solutions and ακ-major optimality solutions of multiobjective programming are obtained.In this paper, with the help of properties of P-linear below bounded points, tangent cones, cone k-interior points, projective cones, the geometric characterizations of afc-major efficient solutions and afc-major optimality solutions of multiobjective programming are obtained.

关 键 词：多目标规划 ακ-较多有效解 几何特性 ακ-较多最优解 

分 类 号：O221.6[理学—运筹学与控制论]