一类模糊规划问题解集的刻画  

Characterizations of the Solution Sets of a Class of Fuzzy Mathematical Programming

作　　者：王晓佳[1] 刘学文[1] 

机构地区：[1]重庆师范大学数学学院,重庆401331

出　　处：《西南大学学报（自然科学版）》2013年第11期86-91,共6页Journal of Southwest University(Natural Science Edition)

基　　金：国家自然科学基金资助项目(11001289);重庆市教委科研项目(KJ100608)

摘　　要：在不具可微性条件下定义了一类伪凸模糊映射,并讨论了伪凸模糊映射的一些重要性质.作为应用,利用模糊函数的方向导数,对目标函数不可微的伪凸模糊规划问题的解集进行了简单刻画.A new concept of nondifferentiable pseudoconvex fuzzy mapping is introduced and some important properties of this class of pseudoconvex fuzzy mapping are given in this paper. On the application side, by using the directional derivative of a fuzzy function, some new and simple characterizations are made of the solution sets for pseudoeonvex fuzzy programming with nondifferentiable objective function.

关 键 词：伪凸模糊映射 伪凸模糊规划 模糊方向导数 

分 类 号：O159[理学—数学]