摘要
文中引入集函数的严格伪凸和弱拟凸概念，结合Ｌｅｅ在１９８９年引入的集函数伪凸和拟凸概念。给出了集函数非线性规划的Ｍｏｎｄ－Ｗｅｉｒ型各种对偶定理。
This paper introduces the concepts of strict pseudoconvexity and weak quasiconvexity ofset functions,Under these convexity conditions and concepts of quasiconvexity and pseudoconvexityof set function introduced in[1],the paper establishes various duality theorems for nonlinear pro-gramming with set functions on Mond-Weir Model.
出处
《重庆师范学院学报（自然科学版）》
1995年第1期6-10,共5页
Journal of Chongqing Normal University(Natural Science Edition)
基金
四川省教委优秀青年教师基金
国家自然科学基金
(青年)和中国科学院管理
决策和信息系统开放实验室资助
关键词
集函数
非线性规划
对偶性
凸集
Set functions nonlinear programming,duality* This work was Supported by the Notonal Natural Sciences Foundations of China and Mangment. Decision and Informaton Sustem Opening Research Laboratory of Academic Sinces of China
