摘要
利用较多锥的内部和闭包，引进多目标规划问题的严格强较多有效解等概念．根据它们的表示定理，建立各类较多有效解的最优性条件，并由此得到严格弱较多有效解的Lagrange直接对偶和严格强较多有效解的tagrange逆对偶定理.
The concepts of several kinds of major efficient solutions are defined on thebasis of the illterior and closure of a ma jor cone. The optimality condition for each kind ofmajor efficient solution is established through its expression theorem. Then the Lagrange directduality theorem for a strictly weakly major efficient solution and the Lagrange inverse for astrictly strongly major efficient solution are proven.
出处
《系统科学与数学》
CSCD
北大核心
2000年第3期324-329,共6页
Journal of Systems Science and Mathematical Sciences
基金
国家自然科学基金
关键词
多目标规划
较多有效解
最优性条件
L对偶定理
Multiobjective programming, Pareto efficient solution, major efficient solution, optimality condition, Lagrange duality
