运筹学学报
運籌學學報
운주학학보
OR TRANSACTIONS
2002年
1期
29-35
,共7页
B-凸函数%有效解%真有效解%向量值鞍点
B-凸函數%有效解%真有效解%嚮量值鞍點
B-철함수%유효해%진유효해%향량치안점
Generalized B-vex functions%Efficient solution%Properly efficient solution%Duality%Vector saddle point
利用广义B-凸函数等概念,讨论了一类非光滑多目标规划,给出了广义最优性充分条件和Mond-Weir型对偶结果,讨论了向量Lagrange乘子性质并证明了向量值鞍点定理.
利用廣義B-凸函數等概唸,討論瞭一類非光滑多目標規劃,給齣瞭廣義最優性充分條件和Mond-Weir型對偶結果,討論瞭嚮量Lagrange乘子性質併證明瞭嚮量值鞍點定理.
이용엄의B-철함수등개념,토론료일류비광활다목표규화,급출료엄의최우성충분조건화Mond-Weir형대우결과,토론료향량Lagrange승자성질병증명료향량치안점정리.
By using generalized B-vex functions, a non-smooth multiple objective optimization problem is considered. Kuh-Tucker type sufficient optimality conditions are obtained for a feasible point to be an efficient or properly efficient solution. Mond-Weir type duality results and certain vector saddle point results are presented.
