集函数多目标分式规划  

MULTIOBJECTIVE FRACTIONAL PROGRAMMING WITH SET FUNCTIONS

作　　者：杨新民[1] 段虞荣[1] 

机构地区：[1]重庆大学应用数学系

出　　处：《重庆大学学报（自然科学版）》1991年第2期15-22,共8页Journal of Chongqing University

摘　　要：系统地讨论了集函数多目标分式规划的弱有效解、有效解和真有效解的基本定理。在一定条件下,论证了集函数多目标分式规划问题与其相应的标量化问题以及鞍点问题之间的密切关系。Systematically discusses the fundamental theorems of weak efficient solution, efficient solution and properly efficient solution for multiobjective fractional programming problems with set functions. Under suitable conditions, we give some theorems connecting multiobjective fractional programming with set functions and its scalarization problems as well as the corresponding saddle point problems.

关 键 词：集函数 多目标 分式规划 有效解 

分 类 号：O221[理学—运筹学与控制论]